TSTP Solution File: SWV422-1.065 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV422-1.065 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 15:14:30 EDT 2022
% Result : Unsatisfiable 0.65s 0.70s
% Output : Proof 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV422-1.065 : TPTP v8.1.0. Released v3.5.0.
% 0.12/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Sep 4 03:17:23 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36 Usage: tptp [options] [-file:]file
% 0.15/0.36 -h, -? prints this message.
% 0.15/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.36 -m, -model generate model.
% 0.15/0.36 -p, -proof generate proof.
% 0.15/0.36 -c, -core generate unsat core of named formulas.
% 0.15/0.36 -st, -statistics display statistics.
% 0.15/0.36 -t:timeout set timeout (in second).
% 0.15/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36 -<param>:<value> configuration parameter and value.
% 0.15/0.36 -o:<output-file> file to place output in.
% 0.65/0.70 % SZS status Unsatisfiable
% 0.65/0.70 % SZS output start Proof
% 0.65/0.70 tff(xuntil28_type, type, (
% 0.65/0.70 xuntil28: $i > $o)).
% 0.65/0.70 tff(s64_type, type, (
% 0.65/0.70 s64: $i)).
% 0.65/0.70 tff(until27_type, type, (
% 0.65/0.70 until27: $i > $o)).
% 0.65/0.70 tff(s63_type, type, (
% 0.65/0.70 s63: $i)).
% 0.65/0.70 tff(node26_type, type, (
% 0.65/0.70 node26: $i > $o)).
% 0.65/0.70 tff(always25_type, type, (
% 0.65/0.70 always25: $i > $o)).
% 0.65/0.70 tff(m_main_v_state2_type, type, (
% 0.65/0.70 m_main_v_state2: ( $i * $i ) > $o)).
% 0.65/0.70 tff(c_c2_type, type, (
% 0.65/0.70 c_c2: $i)).
% 0.65/0.70 tff(node9_type, type, (
% 0.65/0.70 node9: $i > $o)).
% 0.65/0.70 tff(c_n2_type, type, (
% 0.65/0.70 c_n2: $i)).
% 0.65/0.70 tff(node13_type, type, (
% 0.65/0.70 node13: ( $i * $i ) > $o)).
% 0.65/0.70 tff(s62_type, type, (
% 0.65/0.70 s62: $i)).
% 0.65/0.70 tff(node12_type, type, (
% 0.65/0.70 node12: $i > $o)).
% 0.65/0.70 tff(m_main_v_turn_type, type, (
% 0.65/0.70 m_main_v_turn: ( $i * $i ) > $o)).
% 0.65/0.70 tff(c_2_type, type, (
% 0.65/0.70 c_2: $i)).
% 0.65/0.70 tff(c_1_type, type, (
% 0.65/0.70 c_1: $i)).
% 0.65/0.70 tff(m_main_v_state1_type, type, (
% 0.65/0.70 m_main_v_state1: ( $i * $i ) > $o)).
% 0.65/0.70 tff(c_t1_type, type, (
% 0.65/0.70 c_t1: $i)).
% 0.65/0.70 tff(s61_type, type, (
% 0.65/0.70 s61: $i)).
% 0.65/0.70 tff(node6_type, type, (
% 0.65/0.70 node6: ( $i * $i ) > $o)).
% 0.65/0.70 tff(s60_type, type, (
% 0.65/0.70 s60: $i)).
% 0.65/0.70 tff(node1_type, type, (
% 0.65/0.70 node1: $i > $o)).
% 0.65/0.70 tff(c_n1_type, type, (
% 0.65/0.70 c_n1: $i)).
% 0.65/0.70 tff(s59_type, type, (
% 0.65/0.70 s59: $i)).
% 0.65/0.70 tff(node5_type, type, (
% 0.65/0.70 node5: $i > $o)).
% 0.65/0.70 tff(s58_type, type, (
% 0.65/0.70 s58: $i)).
% 0.65/0.70 tff(c_c1_type, type, (
% 0.65/0.70 c_c1: $i)).
% 0.65/0.70 tff(node3_type, type, (
% 0.65/0.70 node3: $i > $o)).
% 0.65/0.70 tff(s57_type, type, (
% 0.65/0.70 s57: $i)).
% 0.65/0.70 tff(s56_type, type, (
% 0.65/0.70 s56: $i)).
% 0.65/0.70 tff(c_t2_type, type, (
% 0.65/0.70 c_t2: $i)).
% 0.65/0.70 tff(s55_type, type, (
% 0.65/0.70 s55: $i)).
% 0.65/0.70 tff(s54_type, type, (
% 0.65/0.70 s54: $i)).
% 0.65/0.70 tff(s53_type, type, (
% 0.65/0.70 s53: $i)).
% 0.65/0.70 tff(s52_type, type, (
% 0.65/0.70 s52: $i)).
% 0.65/0.70 tff(s51_type, type, (
% 0.65/0.70 s51: $i)).
% 0.65/0.70 tff(s50_type, type, (
% 0.65/0.70 s50: $i)).
% 0.65/0.70 tff(s49_type, type, (
% 0.65/0.70 s49: $i)).
% 0.65/0.70 tff(s48_type, type, (
% 0.65/0.70 s48: $i)).
% 0.65/0.70 tff(s47_type, type, (
% 0.65/0.70 s47: $i)).
% 0.65/0.70 tff(s46_type, type, (
% 0.65/0.70 s46: $i)).
% 0.65/0.70 tff(s45_type, type, (
% 0.65/0.70 s45: $i)).
% 0.65/0.70 tff(s44_type, type, (
% 0.65/0.70 s44: $i)).
% 0.65/0.70 tff(s43_type, type, (
% 0.65/0.70 s43: $i)).
% 0.65/0.70 tff(s42_type, type, (
% 0.65/0.70 s42: $i)).
% 0.65/0.70 tff(s41_type, type, (
% 0.65/0.70 s41: $i)).
% 0.65/0.70 tff(s40_type, type, (
% 0.65/0.70 s40: $i)).
% 0.65/0.70 tff(s39_type, type, (
% 0.65/0.70 s39: $i)).
% 0.65/0.70 tff(s38_type, type, (
% 0.65/0.70 s38: $i)).
% 0.65/0.70 tff(s37_type, type, (
% 0.65/0.70 s37: $i)).
% 0.65/0.70 tff(s36_type, type, (
% 0.65/0.70 s36: $i)).
% 0.65/0.70 tff(s35_type, type, (
% 0.65/0.70 s35: $i)).
% 0.65/0.70 tff(s34_type, type, (
% 0.65/0.70 s34: $i)).
% 0.65/0.70 tff(s33_type, type, (
% 0.65/0.70 s33: $i)).
% 0.65/0.70 tff(s32_type, type, (
% 0.65/0.70 s32: $i)).
% 0.65/0.70 tff(s31_type, type, (
% 0.65/0.70 s31: $i)).
% 0.65/0.70 tff(s30_type, type, (
% 0.65/0.70 s30: $i)).
% 0.65/0.70 tff(s29_type, type, (
% 0.65/0.70 s29: $i)).
% 0.65/0.70 tff(s28_type, type, (
% 0.65/0.70 s28: $i)).
% 0.65/0.70 tff(s27_type, type, (
% 0.65/0.70 s27: $i)).
% 0.65/0.70 tff(s26_type, type, (
% 0.65/0.70 s26: $i)).
% 0.65/0.70 tff(s25_type, type, (
% 0.65/0.70 s25: $i)).
% 0.65/0.70 tff(s24_type, type, (
% 0.65/0.70 s24: $i)).
% 0.65/0.70 tff(s23_type, type, (
% 0.65/0.70 s23: $i)).
% 0.65/0.70 tff(s22_type, type, (
% 0.65/0.70 s22: $i)).
% 0.65/0.70 tff(s21_type, type, (
% 0.65/0.70 s21: $i)).
% 0.65/0.70 tff(s20_type, type, (
% 0.65/0.70 s20: $i)).
% 0.65/0.70 tff(s19_type, type, (
% 0.65/0.70 s19: $i)).
% 0.65/0.70 tff(s18_type, type, (
% 0.65/0.70 s18: $i)).
% 0.65/0.70 tff(s17_type, type, (
% 0.65/0.70 s17: $i)).
% 0.65/0.70 tff(s16_type, type, (
% 0.65/0.70 s16: $i)).
% 0.65/0.70 tff(s15_type, type, (
% 0.65/0.70 s15: $i)).
% 0.65/0.70 tff(s14_type, type, (
% 0.65/0.70 s14: $i)).
% 0.65/0.70 tff(s13_type, type, (
% 0.65/0.70 s13: $i)).
% 0.65/0.70 tff(s12_type, type, (
% 0.65/0.70 s12: $i)).
% 0.65/0.70 tff(s11_type, type, (
% 0.65/0.70 s11: $i)).
% 0.65/0.70 tff(s10_type, type, (
% 0.65/0.70 s10: $i)).
% 0.65/0.70 tff(s9_type, type, (
% 0.65/0.70 s9: $i)).
% 0.65/0.70 tff(s8_type, type, (
% 0.65/0.70 s8: $i)).
% 0.65/0.70 tff(s7_type, type, (
% 0.65/0.70 s7: $i)).
% 0.65/0.70 tff(s6_type, type, (
% 0.65/0.70 s6: $i)).
% 0.65/0.70 tff(s5_type, type, (
% 0.65/0.70 s5: $i)).
% 0.65/0.70 tff(s4_type, type, (
% 0.65/0.70 s4: $i)).
% 0.65/0.70 tff(s3_type, type, (
% 0.65/0.70 s3: $i)).
% 0.65/0.70 tff(s2_type, type, (
% 0.65/0.70 s2: $i)).
% 0.65/0.70 tff(s1_type, type, (
% 0.65/0.70 s1: $i)).
% 0.65/0.70 tff(node17_type, type, (
% 0.65/0.70 node17: ( $i * $i ) > $o)).
% 0.65/0.70 tff(s0_type, type, (
% 0.65/0.70 s0: $i)).
% 0.65/0.70 tff(node15_type, type, (
% 0.65/0.70 node15: $i > $o)).
% 0.65/0.70 tff(node16_type, type, (
% 0.65/0.70 node16: $i > $o)).
% 0.65/0.70 tff(node18_type, type, (
% 0.65/0.70 node18: ( $i * $i ) > $o)).
% 0.65/0.70 tff(trans_type, type, (
% 0.65/0.70 trans: ( $i * $i ) > $o)).
% 0.65/0.70 tff(succ_type, type, (
% 0.65/0.70 succ: ( $i * $i ) > $o)).
% 0.65/0.70 tff(node4_type, type, (
% 0.65/0.70 node4: $i > $o)).
% 0.65/0.70 tff(node8_type, type, (
% 0.65/0.70 node8: $i > $o)).
% 0.65/0.70 tff(node14_type, type, (
% 0.65/0.70 node14: ( $i * $i ) > $o)).
% 0.65/0.70 tff(node2_type, type, (
% 0.65/0.70 node2: $i > $o)).
% 0.65/0.70 tff(node7_type, type, (
% 0.65/0.70 node7: ( $i * $i ) > $o)).
% 0.65/0.70 tff(node11_type, type, (
% 0.65/0.70 node11: $i > $o)).
% 0.65/0.70 tff(node10_type, type, (
% 0.65/0.70 node10: $i > $o)).
% 0.65/0.70 tff(until2p29_type, type, (
% 0.65/0.70 until2p29: $i > $o)).
% 0.65/0.70 tff(xuntil2p30_type, type, (
% 0.65/0.70 xuntil2p30: $i > $o)).
% 0.65/0.70 tff(last_type, type, (
% 0.65/0.70 last: $i > $o)).
% 0.65/0.70 tff(loop_type, type, (
% 0.65/0.70 loop: $o)).
% 0.65/0.70 tff(1,plain,
% 0.65/0.70 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(2,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_12')).
% 0.65/0.70 tff(3,plain,
% 0.65/0.70 (m_main_v_state2(s0, c_n2)),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.65/0.70 tff(4,plain,
% 0.65/0.70 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(5,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[4])).
% 0.65/0.70 tff(6,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(7,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 0.65/0.70 tff(8,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.65/0.70 tff(9,plain,(
% 0.65/0.70 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.65/0.70 inference(skolemize,[status(sab)],[8])).
% 0.65/0.70 tff(10,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.65/0.70 tff(11,plain,
% 0.65/0.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(12,plain,
% 0.65/0.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(13,plain,
% 0.65/0.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.65/0.70 tff(14,plain,
% 0.65/0.70 (~m_main_v_state2(s0, c_t2)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.65/0.70 tff(15,plain,
% 0.65/0.70 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(16,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[15])).
% 0.65/0.70 tff(17,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(18,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_57')).
% 0.65/0.70 tff(19,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.65/0.70 tff(20,plain,(
% 0.65/0.70 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.65/0.70 inference(skolemize,[status(sab)],[19])).
% 0.65/0.70 tff(21,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.65/0.70 tff(22,plain,
% 0.65/0.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(23,plain,
% 0.65/0.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(24,plain,
% 0.65/0.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.65/0.70 tff(25,plain,
% 0.65/0.70 (~node15(s0)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 0.65/0.70 tff(26,plain,
% 0.65/0.70 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(27,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_11')).
% 0.65/0.70 tff(28,plain,
% 0.65/0.70 (m_main_v_state1(s0, c_n1)),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.65/0.70 tff(29,plain,
% 0.65/0.70 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(30,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[29])).
% 0.65/0.70 tff(31,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(32,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 0.65/0.70 tff(33,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.65/0.70 tff(34,plain,(
% 0.65/0.70 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.65/0.70 inference(skolemize,[status(sab)],[33])).
% 0.65/0.70 tff(35,plain,
% 0.65/0.70 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.65/0.70 tff(36,plain,
% 0.65/0.70 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(37,plain,
% 0.65/0.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(38,plain,
% 0.65/0.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.65/0.70 tff(39,plain,
% 0.65/0.70 (~m_main_v_state1(s0, c_t1)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[38, 35, 28])).
% 0.65/0.70 tff(40,plain,
% 0.65/0.70 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(41,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[40])).
% 0.65/0.70 tff(42,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(43,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_59')).
% 0.65/0.70 tff(44,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.65/0.70 tff(45,plain,(
% 0.65/0.70 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.65/0.70 inference(skolemize,[status(sab)],[44])).
% 0.65/0.70 tff(46,plain,
% 0.65/0.70 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.65/0.70 tff(47,plain,
% 0.65/0.70 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(48,plain,
% 0.65/0.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(49,plain,
% 0.65/0.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.65/0.70 tff(50,plain,
% 0.65/0.70 (~node16(s0)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 0.65/0.70 tff(51,plain,
% 0.65/0.70 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(52,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[51])).
% 0.65/0.70 tff(53,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(54,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 0.65/0.70 tff(55,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.65/0.70 tff(56,plain,(
% 0.65/0.70 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.65/0.70 inference(skolemize,[status(sab)],[55])).
% 0.65/0.70 tff(57,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.65/0.70 tff(58,plain,
% 0.65/0.70 (succ(s0, s1) <=> succ(s0, s1)),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(59,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 0.65/0.70 tff(60,plain,
% 0.65/0.70 (succ(s0, s1)),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.65/0.70 tff(61,plain,
% 0.65/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(62,plain,
% 0.65/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(63,plain,
% 0.65/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.65/0.70 tff(64,plain,
% 0.65/0.70 (trans(s0, s1)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[63, 60, 57])).
% 0.65/0.70 tff(65,plain,
% 0.65/0.70 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(66,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[65])).
% 0.65/0.70 tff(67,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(68,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_65')).
% 0.65/0.70 tff(69,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.65/0.70 tff(70,plain,(
% 0.65/0.70 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.65/0.70 inference(skolemize,[status(sab)],[69])).
% 0.65/0.70 tff(71,plain,
% 0.65/0.70 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.65/0.70 tff(72,plain,
% 0.65/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(73,plain,
% 0.65/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(74,plain,
% 0.65/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.65/0.70 tff(75,plain,
% 0.65/0.70 (node18(s0, s1)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[74, 71, 64])).
% 0.65/0.70 tff(76,plain,
% 0.65/0.70 (^[Y: $i, X: $i] : refl((node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(77,plain,
% 0.65/0.70 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[76])).
% 0.65/0.70 tff(78,plain,
% 0.65/0.70 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(79,plain,
% 0.65/0.70 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((node15(X) | node16(X)) | node17(X, Y)) <=> (node15(X) | node16(X) | node17(X, Y))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))))), rewrite(((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(80,plain,
% 0.65/0.70 (![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[79])).
% 0.65/0.70 tff(81,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_64')).
% 0.65/0.70 tff(82,plain,
% 0.65/0.70 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.65/0.70 tff(83,plain,
% 0.65/0.70 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.65/0.70 tff(84,plain,(
% 0.65/0.70 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(skolemize,[status(sab)],[83])).
% 0.65/0.70 tff(85,plain,
% 0.65/0.70 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[84, 77])).
% 0.65/0.70 tff(86,plain,
% 0.65/0.70 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(87,plain,
% 0.65/0.70 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(88,plain,
% 0.65/0.70 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))))),
% 0.65/0.70 inference(monotonicity,[status(thm)],[87])).
% 0.65/0.70 tff(89,plain,
% 0.65/0.70 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.65/0.70 inference(transitivity,[status(thm)],[88, 86])).
% 0.65/0.70 tff(90,plain,
% 0.65/0.70 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.65/0.70 tff(91,plain,
% 0.65/0.70 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.65/0.70 tff(92,plain,
% 0.65/0.70 (node17(s0, s1)),
% 0.65/0.70 inference(unit_resolution,[status(thm)],[91, 85, 75, 50, 25])).
% 0.65/0.70 tff(93,plain,
% 0.65/0.70 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(94,plain,
% 0.65/0.70 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[93])).
% 0.65/0.70 tff(95,plain,
% 0.65/0.70 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(96,plain,
% 0.65/0.70 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) <=> ((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> (((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))))), rewrite((((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))))),
% 0.65/0.70 inference(bind,[status(th)],[])).
% 0.65/0.70 tff(97,plain,
% 0.65/0.70 (![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(quant_intro,[status(thm)],[96])).
% 0.65/0.70 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/sandbox/benchmark/theBenchmark.p','m_main_60')).
% 0.65/0.70 tff(99,plain,
% 0.65/0.70 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.65/0.70 tff(100,plain,
% 0.65/0.70 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.65/0.70 tff(101,plain,(
% 0.65/0.70 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(skolemize,[status(sab)],[100])).
% 0.65/0.70 tff(102,plain,
% 0.65/0.70 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.65/0.70 tff(103,plain,
% 0.65/0.70 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(104,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_13')).
% 0.65/0.70 tff(105,plain,
% 0.65/0.70 (m_main_v_turn(s0, c_1)),
% 0.65/0.70 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.65/0.70 tff(106,plain,
% 0.65/0.70 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(107,plain,
% 0.65/0.70 (((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1)) <=> ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 0.65/0.70 inference(rewrite,[status(thm)],[])).
% 0.65/0.70 tff(108,plain,
% 0.65/0.70 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))))),
% 0.65/0.70 inference(monotonicity,[status(thm)],[107])).
% 0.65/0.70 tff(109,plain,
% 0.65/0.70 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 0.65/0.70 inference(transitivity,[status(thm)],[108, 106])).
% 0.65/0.70 tff(110,plain,
% 0.65/0.70 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))),
% 0.65/0.70 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(111,plain,
% 0.73/0.71 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.73/0.71 tff(112,plain,
% 0.73/0.71 (m_main_v_turn(s1, c_1)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[111, 105, 102, 92])).
% 0.73/0.71 tff(113,plain,
% 0.73/0.71 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(114,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[113])).
% 0.73/0.71 tff(115,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(116,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_36')).
% 0.73/0.71 tff(117,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.73/0.71 tff(118,plain,(
% 0.73/0.71 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[117])).
% 0.73/0.71 tff(119,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.73/0.71 tff(120,plain,
% 0.73/0.71 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(121,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(122,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.73/0.71 tff(123,plain,
% 0.73/0.71 (~node8(s0)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[122, 119, 39])).
% 0.73/0.71 tff(124,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(125,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[124])).
% 0.73/0.71 tff(126,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(127,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_55')).
% 0.73/0.71 tff(128,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.73/0.71 tff(129,plain,(
% 0.73/0.71 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.73/0.71 inference(skolemize,[status(sab)],[128])).
% 0.73/0.71 tff(130,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[129, 125])).
% 0.73/0.71 tff(131,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(132,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(133,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.73/0.71 tff(134,plain,
% 0.73/0.71 (node14(s0, s1)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[133, 130, 64])).
% 0.73/0.71 tff(135,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(136,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[135])).
% 0.73/0.71 tff(137,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(138,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(139,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[138])).
% 0.73/0.71 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/sandbox/benchmark/theBenchmark.p','m_main_49')).
% 0.73/0.71 tff(141,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.73/0.71 tff(142,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.73/0.71 tff(143,plain,(
% 0.73/0.71 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(skolemize,[status(sab)],[142])).
% 0.73/0.71 tff(144,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[143, 136])).
% 0.73/0.71 tff(145,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(146,plain,
% 0.73/0.71 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(147,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[146])).
% 0.73/0.71 tff(148,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 0.73/0.71 inference(transitivity,[status(thm)],[147, 145])).
% 0.73/0.71 tff(149,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(150,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.73/0.71 tff(151,plain,
% 0.73/0.71 (m_main_v_state2(s1, c_t2)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[150, 28, 3, 144, 134, 123])).
% 0.73/0.71 tff(152,plain,
% 0.73/0.71 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(153,plain,
% 0.73/0.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(154,plain,
% 0.73/0.71 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.73/0.71 tff(155,plain,
% 0.73/0.71 (~m_main_v_state2(s1, c_n2)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[154, 10, 151])).
% 0.73/0.71 tff(156,plain,
% 0.73/0.71 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(157,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[156])).
% 0.73/0.71 tff(158,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(159,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_21')).
% 0.73/0.71 tff(160,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.73/0.71 tff(161,plain,(
% 0.73/0.71 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[160])).
% 0.73/0.71 tff(162,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.73/0.71 tff(163,plain,
% 0.73/0.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(164,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(165,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.73/0.71 tff(166,plain,
% 0.73/0.71 (~node4(s1)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[165, 162, 155])).
% 0.73/0.71 tff(167,plain,
% 0.73/0.71 (^[X: $i] : refl(((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(168,plain,
% 0.73/0.71 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[167])).
% 0.73/0.71 tff(169,plain,
% 0.73/0.71 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(170,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 0.73/0.71 tff(171,plain,
% 0.73/0.71 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.73/0.71 tff(172,plain,(
% 0.73/0.71 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[171])).
% 0.73/0.71 tff(173,plain,
% 0.73/0.71 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[172, 168])).
% 0.73/0.71 tff(174,plain,
% 0.73/0.71 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(175,plain,
% 0.73/0.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(176,plain,
% 0.73/0.71 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.73/0.71 tff(177,plain,
% 0.73/0.71 (~m_main_v_state2(s1, c_c2)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[176, 173, 151])).
% 0.73/0.71 tff(178,plain,
% 0.73/0.71 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(179,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[178])).
% 0.73/0.71 tff(180,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(181,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_19')).
% 0.73/0.71 tff(182,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.73/0.71 tff(183,plain,(
% 0.73/0.71 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[182])).
% 0.73/0.71 tff(184,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[183, 179])).
% 0.73/0.71 tff(185,plain,
% 0.73/0.71 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(186,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(187,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.73/0.71 tff(188,plain,
% 0.73/0.71 (~node3(s1)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 0.73/0.71 tff(189,plain,
% 0.73/0.71 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(190,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[189])).
% 0.73/0.71 tff(191,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_17')).
% 0.73/0.71 tff(193,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.73/0.71 tff(194,plain,(
% 0.73/0.71 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[193])).
% 0.73/0.71 tff(195,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[194, 190])).
% 0.73/0.71 tff(196,plain,
% 0.73/0.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(197,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(198,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.73/0.71 tff(199,plain,
% 0.73/0.71 (~node2(s1)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[198, 195, 155])).
% 0.73/0.71 tff(200,plain,
% 0.73/0.71 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(201,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[200])).
% 0.73/0.71 tff(202,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(203,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_15')).
% 0.73/0.71 tff(204,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.73/0.71 tff(205,plain,(
% 0.73/0.71 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.73/0.71 inference(skolemize,[status(sab)],[204])).
% 0.73/0.71 tff(206,plain,
% 0.73/0.71 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[205, 201])).
% 0.73/0.71 tff(207,plain,
% 0.73/0.71 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(208,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(209,plain,
% 0.73/0.71 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.73/0.71 tff(210,plain,
% 0.73/0.71 (~node1(s0)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[209, 206, 14])).
% 0.73/0.71 tff(211,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(212,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[211])).
% 0.73/0.71 tff(213,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(214,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_34')).
% 0.73/0.71 tff(215,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.73/0.71 tff(216,plain,(
% 0.73/0.71 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.73/0.71 inference(skolemize,[status(sab)],[215])).
% 0.73/0.71 tff(217,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[216, 212])).
% 0.73/0.71 tff(218,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(219,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 0.73/0.71 inference(quant_inst,[status(thm)],[])).
% 0.73/0.71 tff(220,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.73/0.71 tff(221,plain,
% 0.73/0.71 (node7(s0, s1)),
% 0.73/0.71 inference(unit_resolution,[status(thm)],[220, 217, 64])).
% 0.73/0.71 tff(222,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(223,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[222])).
% 0.73/0.71 tff(224,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(225,plain,
% 0.73/0.71 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 0.73/0.71 inference(bind,[status(th)],[])).
% 0.73/0.71 tff(226,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(quant_intro,[status(thm)],[225])).
% 0.73/0.71 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/sandbox/benchmark/theBenchmark.p','m_main_28')).
% 0.73/0.71 tff(228,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.73/0.71 tff(229,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[228, 224])).
% 0.73/0.71 tff(230,plain,(
% 0.73/0.71 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(skolemize,[status(sab)],[229])).
% 0.73/0.71 tff(231,plain,
% 0.73/0.71 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.71 inference(modus_ponens,[status(thm)],[230, 223])).
% 0.73/0.71 tff(232,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(233,plain,
% 0.73/0.71 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 0.73/0.71 inference(rewrite,[status(thm)],[])).
% 0.73/0.71 tff(234,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))))),
% 0.73/0.71 inference(monotonicity,[status(thm)],[233])).
% 0.73/0.71 tff(235,plain,
% 0.73/0.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 0.73/0.71 inference(transitivity,[status(thm)],[234, 232])).
% 0.73/0.71 tff(236,plain,
% 0.73/0.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(237,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.73/0.72 tff(238,plain,
% 0.73/0.72 (m_main_v_state1(s1, c_t1)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[237, 28, 3, 231, 221, 210])).
% 0.73/0.72 tff(239,plain,
% 0.73/0.72 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(240,plain,
% 0.73/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(241,plain,
% 0.73/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.73/0.72 tff(242,plain,
% 0.73/0.72 (~m_main_v_state1(s1, c_n1)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[241, 35, 238])).
% 0.73/0.72 tff(243,plain,
% 0.73/0.72 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(244,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[243])).
% 0.73/0.72 tff(245,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(246,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_14')).
% 0.73/0.72 tff(247,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.73/0.72 tff(248,plain,(
% 0.73/0.72 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.73/0.72 inference(skolemize,[status(sab)],[247])).
% 0.73/0.72 tff(249,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[248, 244])).
% 0.73/0.72 tff(250,plain,
% 0.73/0.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(251,plain,
% 0.73/0.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(252,plain,
% 0.73/0.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.73/0.72 tff(253,plain,
% 0.73/0.72 (~node1(s1)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[252, 249, 242])).
% 0.73/0.72 tff(254,plain,
% 0.73/0.72 (succ(s1, s2) <=> succ(s1, s2)),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(255,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 0.73/0.72 tff(256,plain,
% 0.73/0.72 (succ(s1, s2)),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.73/0.72 tff(257,plain,
% 0.73/0.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(258,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(259,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[258, 257])).
% 0.73/0.72 tff(260,plain,
% 0.73/0.72 (trans(s1, s2)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[259, 256, 57])).
% 0.73/0.72 tff(261,plain,
% 0.73/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(262,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(263,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.73/0.72 tff(264,plain,
% 0.73/0.72 (node7(s1, s2)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[263, 217, 260])).
% 0.73/0.72 tff(265,plain,
% 0.73/0.72 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(266,plain,
% 0.73/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[265])).
% 0.73/0.72 tff(267,plain,
% 0.73/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(268,plain,
% 0.73/0.72 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(269,plain,
% 0.73/0.72 (![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[268])).
% 0.73/0.72 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/sandbox/benchmark/theBenchmark.p','m_main_31')).
% 0.73/0.72 tff(271,plain,
% 0.73/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.73/0.72 tff(272,plain,
% 0.73/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[271, 267])).
% 0.73/0.72 tff(273,plain,(
% 0.73/0.72 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(skolemize,[status(sab)],[272])).
% 0.73/0.72 tff(274,plain,
% 0.73/0.72 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[273, 266])).
% 0.73/0.72 tff(275,plain,
% 0.73/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(276,plain,
% 0.73/0.72 (((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1)) <=> ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(277,plain,
% 0.73/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))))),
% 0.73/0.72 inference(monotonicity,[status(thm)],[276])).
% 0.73/0.72 tff(278,plain,
% 0.73/0.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 0.73/0.72 inference(transitivity,[status(thm)],[277, 275])).
% 0.73/0.72 tff(279,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(280,plain,
% 0.73/0.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.73/0.72 tff(281,plain,
% 0.73/0.72 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[280, 274, 264, 151, 238])).
% 0.73/0.72 tff(282,plain,
% 0.73/0.72 (m_main_v_state1(s2, c_c1)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[281, 253, 199, 188, 166, 112])).
% 0.73/0.72 tff(283,plain,
% 0.73/0.72 (^[X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(284,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[283])).
% 0.73/0.72 tff(285,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(286,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 0.73/0.72 tff(287,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.73/0.72 tff(288,plain,(
% 0.73/0.72 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.72 inference(skolemize,[status(sab)],[287])).
% 0.73/0.72 tff(289,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[288, 284])).
% 0.73/0.72 tff(290,plain,
% 0.73/0.72 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(291,plain,
% 0.73/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(292,plain,
% 0.73/0.72 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.73/0.72 tff(293,plain,
% 0.73/0.72 (~m_main_v_state1(s2, c_t1)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[292, 289, 282])).
% 0.73/0.72 tff(294,plain,
% 0.73/0.72 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(295,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[294])).
% 0.73/0.72 tff(296,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(297,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_22')).
% 0.73/0.72 tff(298,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.73/0.72 tff(299,plain,(
% 0.73/0.72 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.73/0.72 inference(skolemize,[status(sab)],[298])).
% 0.73/0.72 tff(300,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[299, 295])).
% 0.73/0.72 tff(301,plain,
% 0.73/0.72 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(302,plain,
% 0.73/0.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(303,plain,
% 0.73/0.72 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.73/0.72 tff(304,plain,
% 0.73/0.72 (~node5(s2)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[303, 300, 293])).
% 0.73/0.72 tff(305,plain,
% 0.73/0.72 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(306,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[305])).
% 0.73/0.72 tff(307,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(308,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_37')).
% 0.73/0.72 tff(309,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[308, 307])).
% 0.73/0.72 tff(310,plain,(
% 0.73/0.72 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.73/0.72 inference(skolemize,[status(sab)],[309])).
% 0.73/0.72 tff(311,plain,
% 0.73/0.72 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[310, 306])).
% 0.73/0.72 tff(312,plain,
% 0.73/0.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(313,plain,
% 0.73/0.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(314,plain,
% 0.73/0.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.73/0.72 tff(315,plain,
% 0.73/0.72 (~node9(s1)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[314, 311, 155])).
% 0.73/0.72 tff(316,plain,
% 0.73/0.72 (^[X: $i] : refl(((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))))),
% 0.73/0.72 inference(bind,[status(th)],[])).
% 0.73/0.72 tff(317,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.73/0.72 inference(quant_intro,[status(thm)],[316])).
% 0.73/0.72 tff(318,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(319,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_10')).
% 0.73/0.72 tff(320,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.73/0.72 tff(321,plain,(
% 0.73/0.72 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.73/0.72 inference(skolemize,[status(sab)],[320])).
% 0.73/0.72 tff(322,plain,
% 0.73/0.72 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[321, 317])).
% 0.73/0.72 tff(323,plain,
% 0.73/0.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 0.73/0.72 inference(rewrite,[status(thm)],[])).
% 0.73/0.72 tff(324,plain,
% 0.73/0.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 0.73/0.72 inference(quant_inst,[status(thm)],[])).
% 0.73/0.72 tff(325,plain,
% 0.73/0.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2))),
% 0.73/0.72 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.73/0.72 tff(326,plain,
% 0.73/0.72 (~m_main_v_turn(s0, c_2)),
% 0.73/0.72 inference(unit_resolution,[status(thm)],[325, 322, 105])).
% 0.73/0.72 tff(327,plain,
% 0.73/0.72 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(328,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[327])).
% 0.73/0.73 tff(329,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(330,plain,
% 0.73/0.73 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(331,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[330])).
% 0.73/0.73 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/sandbox/benchmark/theBenchmark.p','m_main_61')).
% 0.73/0.73 tff(333,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[332, 331])).
% 0.73/0.73 tff(334,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[333, 329])).
% 0.73/0.73 tff(335,plain,(
% 0.73/0.73 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[334])).
% 0.73/0.73 tff(336,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[335, 328])).
% 0.73/0.73 tff(337,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(338,plain,
% 0.73/0.73 (((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2))) <=> (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(339,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[338])).
% 0.73/0.73 tff(340,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 0.73/0.73 inference(transitivity,[status(thm)],[339, 337])).
% 0.73/0.73 tff(341,plain,
% 0.73/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(342,plain,
% 0.73/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[341, 340])).
% 0.73/0.73 tff(343,plain,
% 0.73/0.73 (~m_main_v_turn(s1, c_2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[342, 336, 326, 92])).
% 0.73/0.73 tff(344,plain,
% 0.73/0.73 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(345,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[344])).
% 0.73/0.73 tff(346,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(347,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_45')).
% 0.73/0.73 tff(348,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[347, 346])).
% 0.73/0.73 tff(349,plain,(
% 0.73/0.73 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[348])).
% 0.73/0.73 tff(350,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[349, 345])).
% 0.73/0.73 tff(351,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(352,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(353,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.73/0.73 tff(354,plain,
% 0.73/0.73 (~node12(s1)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[353, 350, 343])).
% 0.73/0.73 tff(355,plain,
% 0.73/0.73 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(356,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[355])).
% 0.73/0.73 tff(357,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(358,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_42')).
% 0.73/0.73 tff(359,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.73/0.73 tff(360,plain,(
% 0.73/0.73 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[359])).
% 0.73/0.73 tff(361,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[360, 356])).
% 0.73/0.73 tff(362,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(363,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(364,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[363, 362])).
% 0.73/0.73 tff(365,plain,
% 0.73/0.73 (~node11(s1)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[364, 361, 242])).
% 0.73/0.73 tff(366,plain,
% 0.73/0.73 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(367,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[366])).
% 0.73/0.73 tff(368,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(369,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_39')).
% 0.73/0.73 tff(370,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.73/0.73 tff(371,plain,(
% 0.73/0.73 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[370])).
% 0.73/0.73 tff(372,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[371, 367])).
% 0.73/0.73 tff(373,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(374,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(375,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[374, 373])).
% 0.73/0.73 tff(376,plain,
% 0.73/0.73 (~node10(s1)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[375, 372, 155])).
% 0.73/0.73 tff(377,plain,
% 0.73/0.73 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(378,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[377])).
% 0.73/0.73 tff(379,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(380,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_35')).
% 0.73/0.73 tff(381,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[380, 379])).
% 0.73/0.73 tff(382,plain,(
% 0.73/0.73 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[381])).
% 0.73/0.73 tff(383,plain,
% 0.73/0.73 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[382, 378])).
% 0.73/0.73 tff(384,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(385,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(386,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[385, 384])).
% 0.73/0.73 tff(387,plain,
% 0.73/0.73 (~node8(s1)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[386, 383, 155])).
% 0.73/0.73 tff(388,plain,
% 0.73/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(389,plain,
% 0.73/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(390,plain,
% 0.73/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[389, 388])).
% 0.73/0.73 tff(391,plain,
% 0.73/0.73 (node14(s1, s2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[390, 130, 260])).
% 0.73/0.73 tff(392,plain,
% 0.73/0.73 (^[Y: $i, X: $i] : refl((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(393,plain,
% 0.73/0.73 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[392])).
% 0.73/0.73 tff(394,plain,
% 0.73/0.73 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(395,plain,
% 0.73/0.73 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(396,plain,
% 0.73/0.73 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[395])).
% 0.73/0.73 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/sandbox/benchmark/theBenchmark.p','m_main_54')).
% 0.73/0.73 tff(398,plain,
% 0.73/0.73 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[397, 396])).
% 0.73/0.73 tff(399,plain,
% 0.73/0.73 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[398, 394])).
% 0.73/0.73 tff(400,plain,(
% 0.73/0.73 ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[399])).
% 0.73/0.73 tff(401,plain,
% 0.73/0.73 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[400, 393])).
% 0.73/0.73 tff(402,plain,
% 0.73/0.73 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(403,plain,
% 0.73/0.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(404,plain,
% 0.73/0.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.73/0.73 tff(405,plain,
% 0.73/0.73 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[404, 401, 391])).
% 0.73/0.73 tff(406,plain,
% 0.73/0.73 (node13(s1, s2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[405, 387, 177, 376, 365, 354, 315])).
% 0.73/0.73 tff(407,plain,
% 0.73/0.73 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(408,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[407])).
% 0.73/0.73 tff(409,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(410,plain,
% 0.73/0.73 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(411,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[410])).
% 0.73/0.73 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/sandbox/benchmark/theBenchmark.p','m_main_47')).
% 0.73/0.73 tff(413,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.73/0.73 tff(414,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[413, 409])).
% 0.73/0.73 tff(415,plain,(
% 0.73/0.73 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[414])).
% 0.73/0.73 tff(416,plain,
% 0.73/0.73 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[415, 408])).
% 0.73/0.73 tff(417,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(418,plain,
% 0.73/0.73 (((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2))) <=> (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(419,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[418])).
% 0.73/0.73 tff(420,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 0.73/0.73 inference(transitivity,[status(thm)],[419, 417])).
% 0.73/0.73 tff(421,plain,
% 0.73/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(422,plain,
% 0.73/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.73/0.73 tff(423,plain,
% 0.73/0.73 (~m_main_v_state2(s2, c_n2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[422, 416, 155, 406])).
% 0.73/0.73 tff(424,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(425,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(426,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.73/0.73 tff(427,plain,
% 0.73/0.73 (~node4(s2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[426, 162, 423])).
% 0.73/0.73 tff(428,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(429,plain,
% 0.73/0.73 (((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2))) <=> (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(430,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))))),
% 0.73/0.73 inference(monotonicity,[status(thm)],[429])).
% 0.73/0.73 tff(431,plain,
% 0.73/0.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 0.73/0.73 inference(transitivity,[status(thm)],[430, 428])).
% 0.73/0.73 tff(432,plain,
% 0.73/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(433,plain,
% 0.73/0.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[432, 431])).
% 0.73/0.73 tff(434,plain,
% 0.73/0.73 (~m_main_v_state2(s2, c_c2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[433, 416, 177, 406])).
% 0.73/0.73 tff(435,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(436,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(437,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.73/0.73 tff(438,plain,
% 0.73/0.73 (~node3(s2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[437, 184, 434])).
% 0.73/0.73 tff(439,plain,
% 0.73/0.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(440,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 0.73/0.73 inference(quant_inst,[status(thm)],[])).
% 0.73/0.73 tff(441,plain,
% 0.73/0.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[440, 439])).
% 0.73/0.73 tff(442,plain,
% 0.73/0.73 (~node2(s2)),
% 0.73/0.73 inference(unit_resolution,[status(thm)],[441, 195, 423])).
% 0.73/0.73 tff(443,plain,
% 0.73/0.73 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))))),
% 0.73/0.73 inference(bind,[status(th)],[])).
% 0.73/0.73 tff(444,plain,
% 0.73/0.73 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.73 inference(quant_intro,[status(thm)],[443])).
% 0.73/0.73 tff(445,plain,
% 0.73/0.73 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.73 inference(rewrite,[status(thm)],[])).
% 0.73/0.73 tff(446,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 0.73/0.73 tff(447,plain,
% 0.73/0.73 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[446, 445])).
% 0.73/0.73 tff(448,plain,(
% 0.73/0.73 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.73 inference(skolemize,[status(sab)],[447])).
% 0.73/0.73 tff(449,plain,
% 0.73/0.73 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 0.73/0.73 inference(modus_ponens,[status(thm)],[448, 444])).
% 0.73/0.73 tff(450,plain,
% 0.73/0.73 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(451,plain,
% 0.73/0.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(452,plain,
% 0.73/0.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.73/0.74 tff(453,plain,
% 0.73/0.74 (~m_main_v_state1(s2, c_n1)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[452, 449, 282])).
% 0.73/0.74 tff(454,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(455,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(456,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.73/0.74 tff(457,plain,
% 0.73/0.74 (~node1(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[456, 249, 453])).
% 0.73/0.74 tff(458,plain,
% 0.73/0.74 (succ(s2, s3) <=> succ(s2, s3)),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(459,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 0.73/0.74 tff(460,plain,
% 0.73/0.74 (succ(s2, s3)),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[459, 458])).
% 0.73/0.74 tff(461,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(462,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(463,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[462, 461])).
% 0.73/0.74 tff(464,plain,
% 0.73/0.74 (trans(s2, s3)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[463, 460, 57])).
% 0.73/0.74 tff(465,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(466,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(467,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[466, 465])).
% 0.73/0.74 tff(468,plain,
% 0.73/0.74 (node7(s2, s3)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[467, 217, 464])).
% 0.73/0.74 tff(469,plain,
% 0.73/0.74 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)))),
% 0.73/0.74 inference(bind,[status(th)],[])).
% 0.73/0.74 tff(470,plain,
% 0.73/0.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(quant_intro,[status(thm)],[469])).
% 0.73/0.74 tff(471,plain,
% 0.73/0.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(472,plain,
% 0.73/0.74 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))))),
% 0.73/0.74 inference(bind,[status(th)],[])).
% 0.73/0.74 tff(473,plain,
% 0.73/0.74 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(quant_intro,[status(thm)],[472])).
% 0.73/0.74 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/sandbox/benchmark/theBenchmark.p','m_main_32')).
% 0.73/0.74 tff(475,plain,
% 0.73/0.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[474, 473])).
% 0.73/0.74 tff(476,plain,
% 0.73/0.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[475, 471])).
% 0.73/0.74 tff(477,plain,(
% 0.73/0.74 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(skolemize,[status(sab)],[476])).
% 0.73/0.74 tff(478,plain,
% 0.73/0.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[477, 470])).
% 0.73/0.74 tff(479,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(480,plain,
% 0.73/0.74 (((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1)) <=> (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(481,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[480])).
% 0.73/0.74 tff(482,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[481, 479])).
% 0.73/0.74 tff(483,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(484,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[483, 482])).
% 0.73/0.74 tff(485,plain,
% 0.73/0.74 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[484, 478, 468])).
% 0.73/0.74 tff(486,plain,
% 0.73/0.74 (m_main_v_state1(s3, c_n1)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[485, 457, 282, 442, 438, 427, 304])).
% 0.73/0.74 tff(487,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(488,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(489,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[488, 487])).
% 0.73/0.74 tff(490,plain,
% 0.73/0.74 (~node9(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[489, 311, 423])).
% 0.73/0.74 tff(491,plain,
% 0.73/0.74 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 0.73/0.74 inference(bind,[status(th)],[])).
% 0.73/0.74 tff(492,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.73/0.74 inference(quant_intro,[status(thm)],[491])).
% 0.73/0.74 tff(493,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(494,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_58')).
% 0.73/0.74 tff(495,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.73/0.74 tff(496,plain,(
% 0.73/0.74 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.73/0.74 inference(skolemize,[status(sab)],[495])).
% 0.73/0.74 tff(497,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[496, 492])).
% 0.73/0.74 tff(498,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(499,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(500,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[499, 498])).
% 0.73/0.74 tff(501,plain,
% 0.73/0.74 (~node16(s1)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[500, 497, 155])).
% 0.73/0.74 tff(502,plain,
% 0.73/0.74 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 0.73/0.74 inference(bind,[status(th)],[])).
% 0.73/0.74 tff(503,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.73/0.74 inference(quant_intro,[status(thm)],[502])).
% 0.73/0.74 tff(504,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(505,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_56')).
% 0.73/0.74 tff(506,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[505, 504])).
% 0.73/0.74 tff(507,plain,(
% 0.73/0.74 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.73/0.74 inference(skolemize,[status(sab)],[506])).
% 0.73/0.74 tff(508,plain,
% 0.73/0.74 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[507, 503])).
% 0.73/0.74 tff(509,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(510,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(511,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[510, 509])).
% 0.73/0.74 tff(512,plain,
% 0.73/0.74 (~node15(s1)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[511, 508, 242])).
% 0.73/0.74 tff(513,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(514,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(515,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[514, 513])).
% 0.73/0.74 tff(516,plain,
% 0.73/0.74 (node18(s1, s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[515, 71, 260])).
% 0.73/0.74 tff(517,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(518,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(519,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[518, 517])).
% 0.73/0.74 tff(520,plain,
% 0.73/0.74 (node15(s1) | node16(s1) | node17(s1, s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[519, 85, 516])).
% 0.73/0.74 tff(521,plain,
% 0.73/0.74 (node17(s1, s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[520, 512, 501])).
% 0.73/0.74 tff(522,plain,
% 0.73/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(523,plain,
% 0.73/0.74 (((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2))) <=> (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(524,plain,
% 0.73/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))))),
% 0.73/0.74 inference(monotonicity,[status(thm)],[523])).
% 0.73/0.74 tff(525,plain,
% 0.73/0.74 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 0.73/0.74 inference(transitivity,[status(thm)],[524, 522])).
% 0.73/0.74 tff(526,plain,
% 0.73/0.74 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(527,plain,
% 0.73/0.74 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[526, 525])).
% 0.73/0.74 tff(528,plain,
% 0.73/0.74 (~m_main_v_turn(s2, c_2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[527, 336, 521, 343])).
% 0.73/0.74 tff(529,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(530,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(531,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[530, 529])).
% 0.73/0.74 tff(532,plain,
% 0.73/0.74 (~node12(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[531, 350, 528])).
% 0.73/0.74 tff(533,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(534,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(535,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[534, 533])).
% 0.73/0.74 tff(536,plain,
% 0.73/0.74 (~node11(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[535, 361, 453])).
% 0.73/0.74 tff(537,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(538,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(539,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[538, 537])).
% 0.73/0.74 tff(540,plain,
% 0.73/0.74 (~node10(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[539, 372, 423])).
% 0.73/0.74 tff(541,plain,
% 0.73/0.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(542,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(543,plain,
% 0.73/0.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[542, 541])).
% 0.73/0.74 tff(544,plain,
% 0.73/0.74 (~node8(s2)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[543, 383, 423])).
% 0.73/0.74 tff(545,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(546,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(547,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 0.73/0.74 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.73/0.74 tff(548,plain,
% 0.73/0.74 (node14(s2, s3)),
% 0.73/0.74 inference(unit_resolution,[status(thm)],[547, 130, 464])).
% 0.73/0.74 tff(549,plain,
% 0.73/0.74 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 0.73/0.74 inference(rewrite,[status(thm)],[])).
% 0.73/0.74 tff(550,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 0.73/0.74 inference(quant_inst,[status(thm)],[])).
% 0.73/0.74 tff(551,plain,
% 0.73/0.74 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[550, 549])).
% 0.73/0.75 tff(552,plain,
% 0.73/0.75 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[551, 401, 548])).
% 0.73/0.75 tff(553,plain,
% 0.73/0.75 (node13(s2, s3)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[552, 544, 434, 540, 536, 532, 490])).
% 0.73/0.75 tff(554,plain,
% 0.73/0.75 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(555,plain,
% 0.73/0.75 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[554])).
% 0.73/0.75 tff(556,plain,
% 0.73/0.75 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(557,plain,
% 0.73/0.75 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) <=> ((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> (((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))))), rewrite((((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(558,plain,
% 0.73/0.75 (![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[557])).
% 0.73/0.75 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/sandbox/benchmark/theBenchmark.p','m_main_46')).
% 0.73/0.75 tff(560,plain,
% 0.73/0.75 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[559, 558])).
% 0.73/0.75 tff(561,plain,
% 0.73/0.75 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[560, 556])).
% 0.73/0.75 tff(562,plain,(
% 0.73/0.75 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(skolemize,[status(sab)],[561])).
% 0.73/0.75 tff(563,plain,
% 0.73/0.75 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[562, 555])).
% 0.73/0.75 tff(564,plain,
% 0.73/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(565,plain,
% 0.73/0.75 (((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2)) <=> ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(566,plain,
% 0.73/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[565])).
% 0.73/0.75 tff(567,plain,
% 0.73/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 0.73/0.75 inference(transitivity,[status(thm)],[566, 564])).
% 0.73/0.75 tff(568,plain,
% 0.73/0.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(569,plain,
% 0.73/0.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[568, 567])).
% 0.73/0.75 tff(570,plain,
% 0.73/0.75 (m_main_v_state2(s2, c_t2)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[569, 563, 151, 406])).
% 0.73/0.75 tff(571,plain,
% 0.73/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(572,plain,
% 0.73/0.75 (((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2)) <=> ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(573,plain,
% 0.73/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))))),
% 0.73/0.75 inference(monotonicity,[status(thm)],[572])).
% 0.73/0.75 tff(574,plain,
% 0.73/0.75 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 0.73/0.75 inference(transitivity,[status(thm)],[573, 571])).
% 0.73/0.75 tff(575,plain,
% 0.73/0.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(576,plain,
% 0.73/0.75 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[575, 574])).
% 0.73/0.75 tff(577,plain,
% 0.73/0.75 (m_main_v_state2(s3, c_t2)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[576, 563, 570, 553])).
% 0.73/0.75 tff(578,plain,
% 0.73/0.75 (succ(s3, s4) <=> succ(s3, s4)),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(579,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 0.73/0.75 tff(580,plain,
% 0.73/0.75 (succ(s3, s4)),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[579, 578])).
% 0.73/0.75 tff(581,plain,
% 0.73/0.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(582,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(583,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[582, 581])).
% 0.73/0.75 tff(584,plain,
% 0.73/0.75 (trans(s3, s4)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[583, 580, 57])).
% 0.73/0.75 tff(585,plain,
% 0.73/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(586,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(587,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[586, 585])).
% 0.73/0.75 tff(588,plain,
% 0.73/0.75 (node7(s3, s4)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[587, 217, 584])).
% 0.73/0.75 tff(589,plain,
% 0.73/0.75 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(590,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[589])).
% 0.73/0.75 tff(591,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(592,plain,
% 0.73/0.75 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(593,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[592])).
% 0.73/0.75 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/sandbox/benchmark/theBenchmark.p','m_main_27')).
% 0.73/0.75 tff(595,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[594, 593])).
% 0.73/0.75 tff(596,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[595, 591])).
% 0.73/0.75 tff(597,plain,(
% 0.73/0.75 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(skolemize,[status(sab)],[596])).
% 0.73/0.75 tff(598,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[597, 590])).
% 0.73/0.75 tff(599,plain,
% 0.73/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(600,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(601,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1)),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[600, 599])).
% 0.73/0.75 tff(602,plain,
% 0.73/0.75 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[601, 598, 588])).
% 0.73/0.75 tff(603,plain,
% 0.73/0.75 (m_main_v_state1(s4, c_t1)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[602, 577, 486])).
% 0.73/0.75 tff(604,plain,
% 0.73/0.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(605,plain,
% 0.73/0.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(606,plain,
% 0.73/0.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[605, 604])).
% 0.73/0.75 tff(607,plain,
% 0.73/0.75 (~m_main_v_state1(s4, c_n1)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[606, 35, 603])).
% 0.73/0.75 tff(608,plain,
% 0.73/0.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(609,plain,
% 0.73/0.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(610,plain,
% 0.73/0.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[609, 608])).
% 0.73/0.75 tff(611,plain,
% 0.73/0.75 (~node1(s4)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[610, 249, 607])).
% 0.73/0.75 tff(612,plain,
% 0.73/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(613,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(614,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.73/0.75 tff(615,plain,
% 0.73/0.75 (node18(s3, s4)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[614, 71, 584])).
% 0.73/0.75 tff(616,plain,
% 0.73/0.75 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(617,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[616])).
% 0.73/0.75 tff(618,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(619,plain,
% 0.73/0.75 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(620,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[619])).
% 0.73/0.75 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/sandbox/benchmark/theBenchmark.p','m_main_62')).
% 0.73/0.75 tff(622,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[621, 620])).
% 0.73/0.75 tff(623,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[622, 618])).
% 0.73/0.75 tff(624,plain,(
% 0.73/0.75 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(skolemize,[status(sab)],[623])).
% 0.73/0.75 tff(625,plain,
% 0.73/0.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[624, 617])).
% 0.73/0.75 tff(626,plain,
% 0.73/0.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(627,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(628,plain,
% 0.73/0.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2)),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[627, 626])).
% 0.73/0.75 tff(629,plain,
% 0.73/0.75 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[628, 625, 615])).
% 0.73/0.75 tff(630,plain,
% 0.73/0.75 (m_main_v_turn(s4, c_2)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[629, 577, 486])).
% 0.73/0.75 tff(631,plain,
% 0.73/0.75 (((~![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)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(632,plain,
% 0.73/0.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(633,plain,
% 0.73/0.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[632, 631])).
% 0.73/0.75 tff(634,plain,
% 0.73/0.75 (~m_main_v_turn(s4, c_1)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[633, 322, 630])).
% 0.73/0.75 tff(635,plain,
% 0.73/0.75 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(636,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[635])).
% 0.73/0.75 tff(637,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(638,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_24')).
% 0.73/0.75 tff(639,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[638, 637])).
% 0.73/0.75 tff(640,plain,(
% 0.73/0.75 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.73/0.75 inference(skolemize,[status(sab)],[639])).
% 0.73/0.75 tff(641,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[640, 636])).
% 0.73/0.75 tff(642,plain,
% 0.73/0.75 (((~![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)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(643,plain,
% 0.73/0.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(644,plain,
% 0.73/0.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[643, 642])).
% 0.73/0.75 tff(645,plain,
% 0.73/0.75 (~node5(s4)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[644, 641, 634])).
% 0.73/0.75 tff(646,plain,
% 0.73/0.75 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 0.73/0.75 inference(bind,[status(th)],[])).
% 0.73/0.75 tff(647,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.73/0.75 inference(quant_intro,[status(thm)],[646])).
% 0.73/0.75 tff(648,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(649,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_16')).
% 0.73/0.75 tff(650,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[649, 648])).
% 0.73/0.75 tff(651,plain,(
% 0.73/0.75 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.73/0.75 inference(skolemize,[status(sab)],[650])).
% 0.73/0.75 tff(652,plain,
% 0.73/0.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[651, 647])).
% 0.73/0.75 tff(653,plain,
% 0.73/0.75 (((~![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)))),
% 0.73/0.75 inference(rewrite,[status(thm)],[])).
% 0.73/0.75 tff(654,plain,
% 0.73/0.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 0.73/0.75 inference(quant_inst,[status(thm)],[])).
% 0.73/0.75 tff(655,plain,
% 0.73/0.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 0.73/0.75 inference(modus_ponens,[status(thm)],[654, 653])).
% 0.73/0.75 tff(656,plain,
% 0.73/0.75 (~node2(s4)),
% 0.73/0.75 inference(unit_resolution,[status(thm)],[655, 652, 607])).
% 0.73/0.76 tff(657,plain,
% 0.73/0.76 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 0.73/0.76 inference(bind,[status(th)],[])).
% 0.73/0.76 tff(658,plain,
% 0.73/0.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.73/0.76 inference(quant_intro,[status(thm)],[657])).
% 0.73/0.76 tff(659,plain,
% 0.73/0.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(660,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_18')).
% 0.73/0.76 tff(661,plain,
% 0.73/0.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[660, 659])).
% 0.73/0.76 tff(662,plain,(
% 0.73/0.76 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.73/0.76 inference(skolemize,[status(sab)],[661])).
% 0.73/0.76 tff(663,plain,
% 0.73/0.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[662, 658])).
% 0.73/0.76 tff(664,plain,
% 0.73/0.76 (((~![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)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(665,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(666,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.73/0.76 tff(667,plain,
% 0.73/0.76 (~node3(s4)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[666, 663, 607])).
% 0.73/0.76 tff(668,plain,
% 0.73/0.76 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(669,plain,
% 0.73/0.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(670,plain,
% 0.73/0.76 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[669, 668])).
% 0.73/0.76 tff(671,plain,
% 0.73/0.76 (~m_main_v_state1(s4, c_c1)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[670, 289, 603])).
% 0.73/0.76 tff(672,plain,
% 0.73/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(673,plain,
% 0.73/0.76 (((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2))) <=> (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(674,plain,
% 0.73/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))))),
% 0.73/0.76 inference(monotonicity,[status(thm)],[673])).
% 0.73/0.76 tff(675,plain,
% 0.73/0.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 0.73/0.76 inference(transitivity,[status(thm)],[674, 672])).
% 0.73/0.76 tff(676,plain,
% 0.73/0.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(677,plain,
% 0.73/0.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[676, 675])).
% 0.73/0.76 tff(678,plain,
% 0.73/0.76 (~m_main_v_state2(s3, c_n2)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[677, 416, 423, 553])).
% 0.73/0.76 tff(679,plain,
% 0.73/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(680,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(681,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[680, 679])).
% 0.73/0.76 tff(682,plain,
% 0.73/0.76 (~node9(s3)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[681, 311, 678])).
% 0.73/0.76 tff(683,plain,
% 0.73/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(684,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(685,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[684, 683])).
% 0.73/0.76 tff(686,plain,
% 0.73/0.76 (~node10(s3)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[685, 372, 678])).
% 0.73/0.76 tff(687,plain,
% 0.73/0.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(688,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(689,plain,
% 0.73/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[688, 687])).
% 0.73/0.76 tff(690,plain,
% 0.73/0.76 (~node8(s3)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[689, 383, 678])).
% 0.73/0.76 tff(691,plain,
% 0.73/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(692,plain,
% 0.73/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 0.73/0.76 inference(quant_inst,[status(thm)],[])).
% 0.73/0.76 tff(693,plain,
% 0.73/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 0.73/0.76 inference(modus_ponens,[status(thm)],[692, 691])).
% 0.73/0.76 tff(694,plain,
% 0.73/0.76 (node14(s3, s4)),
% 0.73/0.76 inference(unit_resolution,[status(thm)],[693, 130, 584])).
% 0.73/0.76 tff(695,plain,
% 0.73/0.76 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)))),
% 0.73/0.76 inference(bind,[status(th)],[])).
% 0.73/0.76 tff(696,plain,
% 0.73/0.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.73/0.76 inference(quant_intro,[status(thm)],[695])).
% 0.73/0.76 tff(697,plain,
% 0.73/0.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.73/0.76 inference(rewrite,[status(thm)],[])).
% 0.73/0.76 tff(698,plain,
% 0.73/0.76 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))))), rewrite(((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> (((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))))), rewrite((((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))))),
% 0.73/0.76 inference(bind,[status(th)],[])).
% 0.73/0.76 tff(699,plain,
% 0.73/0.76 (![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.73/0.76 inference(quant_intro,[status(thm)],[698])).
% 0.73/0.76 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/sandbox/benchmark/theBenchmark.p','m_main_51')).
% 0.78/0.76 tff(701,plain,
% 0.78/0.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[700, 699])).
% 0.78/0.76 tff(702,plain,
% 0.78/0.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[701, 697])).
% 0.78/0.76 tff(703,plain,(
% 0.78/0.76 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.78/0.76 inference(skolemize,[status(sab)],[702])).
% 0.78/0.76 tff(704,plain,
% 0.78/0.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[703, 696])).
% 0.78/0.76 tff(705,plain,
% 0.78/0.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(706,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(707,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2)),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[706, 705])).
% 0.78/0.76 tff(708,plain,
% 0.78/0.76 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | m_main_v_state2(s4, c_c2)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[707, 704, 694])).
% 0.78/0.76 tff(709,plain,
% 0.78/0.76 (m_main_v_state2(s4, c_c2)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[708, 690, 486, 577, 686, 682])).
% 0.78/0.76 tff(710,plain,
% 0.78/0.76 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(711,plain,
% 0.78/0.76 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[710])).
% 0.78/0.76 tff(712,plain,
% 0.78/0.76 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(713,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 0.78/0.76 tff(714,plain,
% 0.78/0.76 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[713, 712])).
% 0.78/0.76 tff(715,plain,(
% 0.78/0.76 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.78/0.76 inference(skolemize,[status(sab)],[714])).
% 0.78/0.76 tff(716,plain,
% 0.78/0.76 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[715, 711])).
% 0.78/0.76 tff(717,plain,
% 0.78/0.76 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(718,plain,
% 0.78/0.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(719,plain,
% 0.78/0.76 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[718, 717])).
% 0.78/0.76 tff(720,plain,
% 0.78/0.76 (~m_main_v_state2(s4, c_n2)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[719, 716, 709])).
% 0.78/0.76 tff(721,plain,
% 0.78/0.76 (((~![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)))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(722,plain,
% 0.78/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(723,plain,
% 0.78/0.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.78/0.76 tff(724,plain,
% 0.78/0.76 (~node4(s4)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[723, 162, 720])).
% 0.78/0.76 tff(725,plain,
% 0.78/0.76 (succ(s4, s5) <=> succ(s4, s5)),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(726,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 0.78/0.76 tff(727,plain,
% 0.78/0.76 (succ(s4, s5)),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[726, 725])).
% 0.78/0.76 tff(728,plain,
% 0.78/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(729,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(730,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[729, 728])).
% 0.78/0.76 tff(731,plain,
% 0.78/0.76 (trans(s4, s5)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[730, 727, 57])).
% 0.78/0.76 tff(732,plain,
% 0.78/0.76 (((~![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))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(733,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(734,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[733, 732])).
% 0.78/0.76 tff(735,plain,
% 0.78/0.76 (node7(s4, s5)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[734, 217, 731])).
% 0.78/0.76 tff(736,plain,
% 0.78/0.76 (^[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))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(737,plain,
% 0.78/0.76 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[736])).
% 0.78/0.76 tff(738,plain,
% 0.78/0.76 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(739,plain,
% 0.78/0.76 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(740,plain,
% 0.78/0.76 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[739])).
% 0.78/0.76 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/sandbox/benchmark/theBenchmark.p','m_main_33')).
% 0.78/0.76 tff(742,plain,
% 0.78/0.76 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[741, 740])).
% 0.78/0.76 tff(743,plain,
% 0.78/0.76 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[742, 738])).
% 0.78/0.76 tff(744,plain,(
% 0.78/0.76 ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(skolemize,[status(sab)],[743])).
% 0.78/0.76 tff(745,plain,
% 0.78/0.76 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[744, 737])).
% 0.78/0.76 tff(746,plain,
% 0.78/0.76 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(747,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(748,plain,
% 0.78/0.76 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[747, 746])).
% 0.78/0.76 tff(749,plain,
% 0.78/0.76 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[748, 745, 735])).
% 0.78/0.76 tff(750,plain,
% 0.78/0.76 (node6(s4, s5)),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[749, 724, 671, 667, 656, 645, 611])).
% 0.78/0.76 tff(751,plain,
% 0.78/0.76 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(752,plain,
% 0.78/0.76 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[751])).
% 0.78/0.76 tff(753,plain,
% 0.78/0.76 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(754,plain,
% 0.78/0.76 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) <=> ((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> (((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))))), rewrite((((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(755,plain,
% 0.78/0.76 (![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[754])).
% 0.78/0.76 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/sandbox/benchmark/theBenchmark.p','m_main_25')).
% 0.78/0.76 tff(757,plain,
% 0.78/0.76 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[756, 755])).
% 0.78/0.76 tff(758,plain,
% 0.78/0.76 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[757, 753])).
% 0.78/0.76 tff(759,plain,(
% 0.78/0.76 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.76 inference(skolemize,[status(sab)],[758])).
% 0.78/0.76 tff(760,plain,
% 0.78/0.76 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[759, 752])).
% 0.78/0.77 tff(761,plain,
% 0.78/0.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(762,plain,
% 0.78/0.77 (((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1)) <=> ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(763,plain,
% 0.78/0.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))))),
% 0.78/0.77 inference(monotonicity,[status(thm)],[762])).
% 0.78/0.77 tff(764,plain,
% 0.78/0.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 0.78/0.77 inference(transitivity,[status(thm)],[763, 761])).
% 0.78/0.77 tff(765,plain,
% 0.78/0.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(766,plain,
% 0.78/0.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[765, 764])).
% 0.78/0.77 tff(767,plain,
% 0.78/0.77 (m_main_v_state1(s5, c_t1)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[766, 760, 603, 750])).
% 0.78/0.77 tff(768,plain,
% 0.78/0.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(769,plain,
% 0.78/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(770,plain,
% 0.78/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[769, 768])).
% 0.78/0.77 tff(771,plain,
% 0.78/0.77 (~m_main_v_state2(s4, c_t2)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[770, 173, 709])).
% 0.78/0.77 tff(772,plain,
% 0.78/0.77 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(773,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[772])).
% 0.78/0.77 tff(774,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(775,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_43')).
% 0.78/0.77 tff(776,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[775, 774])).
% 0.78/0.77 tff(777,plain,(
% 0.78/0.77 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.78/0.77 inference(skolemize,[status(sab)],[776])).
% 0.78/0.77 tff(778,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[777, 773])).
% 0.78/0.77 tff(779,plain,
% 0.78/0.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(780,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(781,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[780, 779])).
% 0.78/0.77 tff(782,plain,
% 0.78/0.77 (~node12(s4)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[781, 778, 771])).
% 0.78/0.77 tff(783,plain,
% 0.78/0.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(784,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(785,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[784, 783])).
% 0.78/0.77 tff(786,plain,
% 0.78/0.77 (~node11(s4)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[785, 361, 607])).
% 0.78/0.77 tff(787,plain,
% 0.78/0.77 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(788,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[787])).
% 0.78/0.77 tff(789,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(790,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_40')).
% 0.78/0.77 tff(791,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[790, 789])).
% 0.78/0.77 tff(792,plain,(
% 0.78/0.77 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.78/0.77 inference(skolemize,[status(sab)],[791])).
% 0.78/0.77 tff(793,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[792, 788])).
% 0.78/0.77 tff(794,plain,
% 0.78/0.77 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(795,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(796,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[795, 794])).
% 0.78/0.77 tff(797,plain,
% 0.78/0.77 (~node10(s4)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[796, 793, 671])).
% 0.78/0.77 tff(798,plain,
% 0.78/0.77 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(799,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[798])).
% 0.78/0.77 tff(800,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(801,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_38')).
% 0.78/0.77 tff(802,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[801, 800])).
% 0.78/0.77 tff(803,plain,(
% 0.78/0.77 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.78/0.77 inference(skolemize,[status(sab)],[802])).
% 0.78/0.77 tff(804,plain,
% 0.78/0.77 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[803, 799])).
% 0.78/0.77 tff(805,plain,
% 0.78/0.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(806,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(807,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[806, 805])).
% 0.78/0.77 tff(808,plain,
% 0.78/0.77 (~node9(s4)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[807, 804, 607])).
% 0.78/0.77 tff(809,plain,
% 0.78/0.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(810,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(811,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[810, 809])).
% 0.78/0.77 tff(812,plain,
% 0.78/0.77 (~node8(s4)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[811, 383, 720])).
% 0.78/0.77 tff(813,plain,
% 0.78/0.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(814,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(815,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[814, 813])).
% 0.78/0.77 tff(816,plain,
% 0.78/0.77 (node14(s4, s5)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[815, 130, 731])).
% 0.78/0.77 tff(817,plain,
% 0.78/0.77 (^[Y: $i, X: $i] : refl(((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(818,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[817])).
% 0.78/0.77 tff(819,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(820,plain,
% 0.78/0.77 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(821,plain,
% 0.78/0.77 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[820])).
% 0.78/0.77 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/sandbox/benchmark/theBenchmark.p','m_main_53')).
% 0.78/0.77 tff(823,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[822, 821])).
% 0.78/0.77 tff(824,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[823, 819])).
% 0.78/0.77 tff(825,plain,(
% 0.78/0.77 ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(skolemize,[status(sab)],[824])).
% 0.78/0.77 tff(826,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[825, 818])).
% 0.78/0.77 tff(827,plain,
% 0.78/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(828,plain,
% 0.78/0.77 (((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2)) <=> (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(829,plain,
% 0.78/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))))),
% 0.78/0.77 inference(monotonicity,[status(thm)],[828])).
% 0.78/0.77 tff(830,plain,
% 0.78/0.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 0.78/0.77 inference(transitivity,[status(thm)],[829, 827])).
% 0.78/0.77 tff(831,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(832,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[831, 830])).
% 0.78/0.77 tff(833,plain,
% 0.78/0.77 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[832, 826, 816])).
% 0.78/0.77 tff(834,plain,
% 0.78/0.77 (m_main_v_state2(s5, c_n2)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[833, 812, 709, 808, 797, 786, 782])).
% 0.78/0.77 tff(835,plain,
% 0.78/0.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(836,plain,
% 0.78/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(837,plain,
% 0.78/0.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[836, 835])).
% 0.78/0.77 tff(838,plain,
% 0.78/0.77 (~m_main_v_state2(s5, c_t2)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[837, 10, 834])).
% 0.78/0.77 tff(839,plain,
% 0.78/0.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(840,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(841,plain,
% 0.78/0.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[840, 839])).
% 0.78/0.77 tff(842,plain,
% 0.78/0.77 (~node15(s5)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[841, 21, 838])).
% 0.78/0.77 tff(843,plain,
% 0.78/0.77 (succ(s5, s6) <=> succ(s5, s6)),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(844,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 0.78/0.77 tff(845,plain,
% 0.78/0.77 (succ(s5, s6)),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[844, 843])).
% 0.78/0.77 tff(846,plain,
% 0.78/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(847,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(848,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[847, 846])).
% 0.78/0.77 tff(849,plain,
% 0.78/0.77 (trans(s5, s6)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[848, 845, 57])).
% 0.78/0.77 tff(850,plain,
% 0.78/0.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(851,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(852,plain,
% 0.78/0.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[851, 850])).
% 0.78/0.77 tff(853,plain,
% 0.78/0.77 (node18(s5, s6)),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[852, 71, 849])).
% 0.78/0.77 tff(854,plain,
% 0.78/0.77 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(855,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[854])).
% 0.78/0.77 tff(856,plain,
% 0.78/0.77 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(857,plain,
% 0.78/0.77 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(858,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[857])).
% 0.78/0.78 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/sandbox/benchmark/theBenchmark.p','m_main_63')).
% 0.78/0.78 tff(860,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[859, 858])).
% 0.78/0.78 tff(861,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[860, 856])).
% 0.78/0.78 tff(862,plain,(
% 0.78/0.78 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.78 inference(skolemize,[status(sab)],[861])).
% 0.78/0.78 tff(863,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[862, 855])).
% 0.78/0.78 tff(864,plain,
% 0.78/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(865,plain,
% 0.78/0.78 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1)) <=> (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(866,plain,
% 0.78/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[865])).
% 0.78/0.78 tff(867,plain,
% 0.78/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 0.78/0.78 inference(transitivity,[status(thm)],[866, 864])).
% 0.78/0.78 tff(868,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(869,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[868, 867])).
% 0.78/0.78 tff(870,plain,
% 0.78/0.78 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[869, 863, 853])).
% 0.78/0.78 tff(871,plain,
% 0.78/0.78 (m_main_v_turn(s6, c_1)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[870, 842, 834, 767])).
% 0.78/0.78 tff(872,plain,
% 0.78/0.78 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(873,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(874,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[873, 872])).
% 0.78/0.78 tff(875,plain,
% 0.78/0.78 (~m_main_v_turn(s6, c_2)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[874, 322, 871])).
% 0.78/0.78 tff(876,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(877,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(878,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[877, 876])).
% 0.78/0.78 tff(879,plain,
% 0.78/0.78 (~node12(s6)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[878, 350, 875])).
% 0.78/0.78 tff(880,plain,
% 0.78/0.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(881,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(882,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[881, 880])).
% 0.78/0.78 tff(883,plain,
% 0.78/0.78 (node14(s5, s6)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[882, 130, 849])).
% 0.78/0.78 tff(884,plain,
% 0.78/0.78 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(885,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[884])).
% 0.78/0.78 tff(886,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(887,plain,
% 0.78/0.78 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(888,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[887])).
% 0.78/0.78 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/sandbox/benchmark/theBenchmark.p','m_main_48')).
% 0.78/0.78 tff(890,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[889, 888])).
% 0.78/0.78 tff(891,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[890, 886])).
% 0.78/0.78 tff(892,plain,(
% 0.78/0.78 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(skolemize,[status(sab)],[891])).
% 0.78/0.78 tff(893,plain,
% 0.78/0.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[892, 885])).
% 0.78/0.78 tff(894,plain,
% 0.78/0.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(895,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(896,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[895, 894])).
% 0.78/0.78 tff(897,plain,
% 0.78/0.78 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[896, 893, 883])).
% 0.78/0.78 tff(898,plain,
% 0.78/0.78 (m_main_v_state2(s6, c_t2)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[897, 767, 834])).
% 0.78/0.78 tff(899,plain,
% 0.78/0.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(900,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(901,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[900, 899])).
% 0.78/0.78 tff(902,plain,
% 0.78/0.78 (~m_main_v_state2(s6, c_n2)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[901, 10, 898])).
% 0.78/0.78 tff(903,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(904,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(905,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[904, 903])).
% 0.78/0.78 tff(906,plain,
% 0.78/0.78 (~node8(s6)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[905, 383, 902])).
% 0.78/0.78 tff(907,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(908,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(909,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.78/0.78 tff(910,plain,
% 0.78/0.78 (~node9(s6)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[909, 311, 902])).
% 0.78/0.78 tff(911,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(912,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(913,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[912, 911])).
% 0.78/0.78 tff(914,plain,
% 0.78/0.78 (~node10(s6)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[913, 372, 902])).
% 0.78/0.78 tff(915,plain,
% 0.78/0.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(916,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(917,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[916, 915])).
% 0.78/0.78 tff(918,plain,
% 0.78/0.78 (~m_main_v_state2(s6, c_c2)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[917, 173, 898])).
% 0.78/0.78 tff(919,plain,
% 0.78/0.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(920,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(921,plain,
% 0.78/0.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[920, 919])).
% 0.78/0.78 tff(922,plain,
% 0.78/0.78 (~m_main_v_state2(s5, c_c2)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[921, 716, 834])).
% 0.78/0.78 tff(923,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(924,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(925,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[924, 923])).
% 0.78/0.78 tff(926,plain,
% 0.78/0.78 (~node3(s5)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[925, 184, 922])).
% 0.78/0.78 tff(927,plain,
% 0.78/0.78 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(928,plain,
% 0.78/0.78 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[927])).
% 0.78/0.78 tff(929,plain,
% 0.78/0.78 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(930,plain,
% 0.78/0.78 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(931,plain,
% 0.78/0.78 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[930])).
% 0.78/0.78 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/sandbox/benchmark/theBenchmark.p','m_main_26')).
% 0.78/0.78 tff(933,plain,
% 0.78/0.78 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[932, 931])).
% 0.78/0.78 tff(934,plain,
% 0.78/0.78 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[933, 929])).
% 0.78/0.78 tff(935,plain,(
% 0.78/0.78 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(skolemize,[status(sab)],[934])).
% 0.78/0.78 tff(936,plain,
% 0.78/0.78 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[935, 928])).
% 0.78/0.78 tff(937,plain,
% 0.78/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(938,plain,
% 0.78/0.78 (((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1))) <=> (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(939,plain,
% 0.78/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[938])).
% 0.78/0.78 tff(940,plain,
% 0.78/0.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 0.78/0.78 inference(transitivity,[status(thm)],[939, 937])).
% 0.78/0.78 tff(941,plain,
% 0.78/0.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(942,plain,
% 0.78/0.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[941, 940])).
% 0.78/0.78 tff(943,plain,
% 0.78/0.78 (~m_main_v_state1(s5, c_n1)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[942, 936, 607, 750])).
% 0.78/0.78 tff(944,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(945,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(946,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[945, 944])).
% 0.78/0.78 tff(947,plain,
% 0.78/0.78 (~node2(s5)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[946, 652, 943])).
% 0.78/0.78 tff(948,plain,
% 0.78/0.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(949,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(950,plain,
% 0.78/0.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[949, 948])).
% 0.78/0.78 tff(951,plain,
% 0.78/0.78 (~node1(s5)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[950, 206, 838])).
% 0.78/0.78 tff(952,plain,
% 0.78/0.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(953,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(954,plain,
% 0.78/0.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[953, 952])).
% 0.78/0.78 tff(955,plain,
% 0.78/0.78 (node7(s5, s6)),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[954, 217, 849])).
% 0.78/0.78 tff(956,plain,
% 0.78/0.78 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 0.78/0.79 inference(bind,[status(th)],[])).
% 0.78/0.79 tff(957,plain,
% 0.78/0.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(quant_intro,[status(thm)],[956])).
% 0.78/0.79 tff(958,plain,
% 0.78/0.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(959,plain,
% 0.78/0.79 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 0.78/0.79 inference(bind,[status(th)],[])).
% 0.78/0.79 tff(960,plain,
% 0.78/0.79 (![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(quant_intro,[status(thm)],[959])).
% 0.78/0.79 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/sandbox/benchmark/theBenchmark.p','m_main_30')).
% 0.78/0.79 tff(962,plain,
% 0.78/0.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[961, 960])).
% 0.78/0.79 tff(963,plain,
% 0.78/0.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[962, 958])).
% 0.78/0.79 tff(964,plain,(
% 0.78/0.79 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(skolemize,[status(sab)],[963])).
% 0.78/0.79 tff(965,plain,
% 0.78/0.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[964, 957])).
% 0.78/0.79 tff(966,plain,
% 0.78/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(967,plain,
% 0.78/0.79 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1)) <=> ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(968,plain,
% 0.78/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))))),
% 0.78/0.79 inference(monotonicity,[status(thm)],[967])).
% 0.78/0.79 tff(969,plain,
% 0.78/0.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 0.78/0.79 inference(transitivity,[status(thm)],[968, 966])).
% 0.78/0.79 tff(970,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(971,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[970, 969])).
% 0.78/0.79 tff(972,plain,
% 0.78/0.79 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[971, 965, 955])).
% 0.78/0.79 tff(973,plain,
% 0.78/0.79 (m_main_v_state1(s6, c_c1)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[972, 951, 834, 767, 947, 926])).
% 0.78/0.79 tff(974,plain,
% 0.78/0.79 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(975,plain,
% 0.78/0.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(976,plain,
% 0.78/0.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[975, 974])).
% 0.78/0.79 tff(977,plain,
% 0.78/0.79 (~m_main_v_state1(s6, c_n1)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[976, 449, 973])).
% 0.78/0.79 tff(978,plain,
% 0.78/0.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(979,plain,
% 0.78/0.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(980,plain,
% 0.78/0.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[979, 978])).
% 0.78/0.79 tff(981,plain,
% 0.78/0.79 (~node11(s6)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[980, 361, 977])).
% 0.78/0.79 tff(982,plain,
% 0.78/0.79 (succ(s6, s7) <=> succ(s6, s7)),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(983,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 0.78/0.79 tff(984,plain,
% 0.78/0.79 (succ(s6, s7)),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[983, 982])).
% 0.78/0.79 tff(985,plain,
% 0.78/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(986,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(987,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[986, 985])).
% 0.78/0.79 tff(988,plain,
% 0.78/0.79 (trans(s6, s7)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[987, 984, 57])).
% 0.78/0.79 tff(989,plain,
% 0.78/0.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(990,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(991,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[990, 989])).
% 0.78/0.79 tff(992,plain,
% 0.78/0.79 (node14(s6, s7)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[991, 130, 988])).
% 0.78/0.79 tff(993,plain,
% 0.78/0.79 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(994,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(995,plain,
% 0.78/0.79 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[994, 993])).
% 0.78/0.79 tff(996,plain,
% 0.78/0.79 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[995, 401, 992])).
% 0.78/0.79 tff(997,plain,
% 0.78/0.79 (node13(s6, s7)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[996, 981, 918, 914, 910, 906, 879])).
% 0.78/0.79 tff(998,plain,
% 0.78/0.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(999,plain,
% 0.78/0.79 (((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2))) <=> (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(1000,plain,
% 0.78/0.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))))),
% 0.78/0.79 inference(monotonicity,[status(thm)],[999])).
% 0.78/0.79 tff(1001,plain,
% 0.78/0.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 0.78/0.79 inference(transitivity,[status(thm)],[1000, 998])).
% 0.78/0.79 tff(1002,plain,
% 0.78/0.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(1003,plain,
% 0.78/0.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 0.78/0.79 tff(1004,plain,
% 0.78/0.79 (~m_main_v_state2(s7, c_n2)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[1003, 416, 902, 997])).
% 0.78/0.79 tff(1005,plain,
% 0.78/0.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(1006,plain,
% 0.78/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(1007,plain,
% 0.78/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 0.78/0.79 tff(1008,plain,
% 0.78/0.79 (~node9(s7)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[1007, 311, 1004])).
% 0.78/0.79 tff(1009,plain,
% 0.78/0.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(1010,plain,
% 0.78/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(1011,plain,
% 0.78/0.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 0.78/0.79 tff(1012,plain,
% 0.78/0.79 (~node10(s7)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[1011, 372, 1004])).
% 0.78/0.79 tff(1013,plain,
% 0.78/0.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(1014,plain,
% 0.78/0.79 (((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2)) <=> ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(1015,plain,
% 0.78/0.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))))),
% 0.78/0.79 inference(monotonicity,[status(thm)],[1014])).
% 0.78/0.79 tff(1016,plain,
% 0.78/0.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 0.78/0.79 inference(transitivity,[status(thm)],[1015, 1013])).
% 0.78/0.79 tff(1017,plain,
% 0.78/0.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(1018,plain,
% 0.78/0.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 0.78/0.79 tff(1019,plain,
% 0.78/0.79 (m_main_v_state2(s7, c_t2)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[1018, 563, 898, 997])).
% 0.78/0.79 tff(1020,plain,
% 0.78/0.79 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.78/0.79 inference(rewrite,[status(thm)],[])).
% 0.78/0.79 tff(1021,plain,
% 0.78/0.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(1022,plain,
% 0.78/0.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 0.78/0.79 tff(1023,plain,
% 0.78/0.79 (~m_main_v_state1(s6, c_t1)),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[1022, 289, 973])).
% 0.78/0.80 tff(1024,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1025,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1026,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 0.78/0.80 tff(1027,plain,
% 0.78/0.80 (~node5(s6)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1026, 300, 1023])).
% 0.78/0.80 tff(1028,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1029,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1030,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 0.78/0.80 tff(1031,plain,
% 0.78/0.80 (~node4(s6)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1030, 162, 902])).
% 0.78/0.80 tff(1032,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1033,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1034,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 0.78/0.80 tff(1035,plain,
% 0.78/0.80 (~node3(s6)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1034, 184, 918])).
% 0.78/0.80 tff(1036,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1037,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1038,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 0.78/0.80 tff(1039,plain,
% 0.78/0.80 (~node2(s6)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1038, 195, 902])).
% 0.78/0.80 tff(1040,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1041,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1042,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1041, 1040])).
% 0.78/0.80 tff(1043,plain,
% 0.78/0.80 (~node1(s6)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1042, 249, 977])).
% 0.78/0.80 tff(1044,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1045,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1046,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 0.78/0.80 tff(1047,plain,
% 0.78/0.80 (node7(s6, s7)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1046, 217, 988])).
% 0.78/0.80 tff(1048,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1049,plain,
% 0.78/0.80 (((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1)) <=> (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1050,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))))),
% 0.78/0.80 inference(monotonicity,[status(thm)],[1049])).
% 0.78/0.80 tff(1051,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 0.78/0.80 inference(transitivity,[status(thm)],[1050, 1048])).
% 0.78/0.80 tff(1052,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1053,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 0.78/0.80 tff(1054,plain,
% 0.78/0.80 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1053, 478, 1047])).
% 0.78/0.80 tff(1055,plain,
% 0.78/0.80 (m_main_v_state1(s7, c_n1)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1054, 1043, 973, 1039, 1035, 1031, 1027])).
% 0.78/0.80 tff(1056,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1057,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1058,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 0.78/0.80 tff(1059,plain,
% 0.78/0.80 (~node8(s7)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1058, 383, 1004])).
% 0.78/0.80 tff(1060,plain,
% 0.78/0.80 (succ(s7, s8) <=> succ(s7, s8)),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1061,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 0.78/0.80 tff(1062,plain,
% 0.78/0.80 (succ(s7, s8)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 0.78/0.80 tff(1063,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1064,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1065,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1064, 1063])).
% 0.78/0.80 tff(1066,plain,
% 0.78/0.80 (trans(s7, s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1065, 1062, 57])).
% 0.78/0.80 tff(1067,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1068,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1069,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1068, 1067])).
% 0.78/0.80 tff(1070,plain,
% 0.78/0.80 (node14(s7, s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1069, 130, 1066])).
% 0.78/0.80 tff(1071,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1072,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1073,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 0.78/0.80 tff(1074,plain,
% 0.78/0.80 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | m_main_v_state2(s8, c_c2)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1073, 704, 1070])).
% 0.78/0.80 tff(1075,plain,
% 0.78/0.80 (m_main_v_state2(s8, c_c2)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1074, 1059, 1055, 1019, 1012, 1008])).
% 0.78/0.80 tff(1076,plain,
% 0.78/0.80 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1077,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1078,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 0.78/0.80 tff(1079,plain,
% 0.78/0.80 (~m_main_v_state2(s8, c_t2)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1078, 173, 1075])).
% 0.78/0.80 tff(1080,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1081,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1082,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 0.78/0.80 tff(1083,plain,
% 0.78/0.80 (~node12(s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1082, 778, 1079])).
% 0.78/0.80 tff(1084,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1085,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1086,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 0.78/0.80 tff(1087,plain,
% 0.78/0.80 (node7(s7, s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1086, 217, 1066])).
% 0.78/0.80 tff(1088,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1089,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1090,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 0.78/0.80 tff(1091,plain,
% 0.78/0.80 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1090, 598, 1087])).
% 0.78/0.80 tff(1092,plain,
% 0.78/0.80 (m_main_v_state1(s8, c_t1)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1091, 1019, 1055])).
% 0.78/0.80 tff(1093,plain,
% 0.78/0.80 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1094,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1095,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1094, 1093])).
% 0.78/0.80 tff(1096,plain,
% 0.78/0.80 (~m_main_v_state1(s8, c_n1)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1095, 35, 1092])).
% 0.78/0.80 tff(1097,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1098,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1099,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 0.78/0.80 tff(1100,plain,
% 0.78/0.80 (~node11(s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1099, 361, 1096])).
% 0.78/0.80 tff(1101,plain,
% 0.78/0.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1102,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1103,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 0.78/0.80 tff(1104,plain,
% 0.78/0.80 (~m_main_v_state1(s8, c_c1)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1103, 289, 1092])).
% 0.78/0.80 tff(1105,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1106,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1107,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 0.78/0.80 tff(1108,plain,
% 0.78/0.80 (~node10(s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1107, 793, 1104])).
% 0.78/0.80 tff(1109,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1110,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1111,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 0.78/0.80 tff(1112,plain,
% 0.78/0.80 (~node9(s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1111, 804, 1096])).
% 0.78/0.80 tff(1113,plain,
% 0.78/0.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1114,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1115,plain,
% 0.78/0.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 0.78/0.80 tff(1116,plain,
% 0.78/0.80 (~m_main_v_state2(s8, c_n2)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1115, 716, 1075])).
% 0.78/0.80 tff(1117,plain,
% 0.78/0.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1118,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1119,plain,
% 0.78/0.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 0.78/0.80 tff(1120,plain,
% 0.78/0.80 (~node8(s8)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1119, 383, 1116])).
% 0.78/0.80 tff(1121,plain,
% 0.78/0.80 (succ(s8, s9) <=> succ(s8, s9)),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1122,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 0.78/0.80 tff(1123,plain,
% 0.78/0.80 (succ(s8, s9)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 0.78/0.80 tff(1124,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1125,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1126,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1125, 1124])).
% 0.78/0.80 tff(1127,plain,
% 0.78/0.80 (trans(s8, s9)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1126, 1123, 57])).
% 0.78/0.80 tff(1128,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1129,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 0.78/0.80 inference(quant_inst,[status(thm)],[])).
% 0.78/0.80 tff(1130,plain,
% 0.78/0.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 0.78/0.80 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 0.78/0.80 tff(1131,plain,
% 0.78/0.80 (node14(s8, s9)),
% 0.78/0.80 inference(unit_resolution,[status(thm)],[1130, 130, 1127])).
% 0.78/0.80 tff(1132,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1133,plain,
% 0.78/0.80 (((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2)) <=> (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.80 inference(rewrite,[status(thm)],[])).
% 0.78/0.80 tff(1134,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))))),
% 0.78/0.80 inference(monotonicity,[status(thm)],[1133])).
% 0.78/0.80 tff(1135,plain,
% 0.78/0.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 0.78/0.81 inference(transitivity,[status(thm)],[1134, 1132])).
% 0.78/0.81 tff(1136,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1137,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 0.78/0.81 tff(1138,plain,
% 0.78/0.81 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1137, 826, 1131])).
% 0.78/0.81 tff(1139,plain,
% 0.78/0.81 (m_main_v_state2(s9, c_n2)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1138, 1120, 1075, 1112, 1108, 1100, 1083])).
% 0.78/0.81 tff(1140,plain,
% 0.78/0.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1141,plain,
% 0.78/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1142,plain,
% 0.78/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 0.78/0.81 tff(1143,plain,
% 0.78/0.81 (~m_main_v_state2(s9, c_c2)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1142, 716, 1139])).
% 0.78/0.81 tff(1144,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1145,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1146,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1145, 1144])).
% 0.78/0.81 tff(1147,plain,
% 0.78/0.81 (~node3(s9)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1146, 184, 1143])).
% 0.78/0.81 tff(1148,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1149,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1150,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 0.78/0.81 tff(1151,plain,
% 0.78/0.81 (~node1(s8)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1150, 249, 1096])).
% 0.78/0.81 tff(1152,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1153,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1154,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 0.78/0.81 tff(1155,plain,
% 0.78/0.81 (node18(s7, s8)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1154, 71, 1066])).
% 0.78/0.81 tff(1156,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1157,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1158,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2)),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1157, 1156])).
% 0.78/0.81 tff(1159,plain,
% 0.78/0.81 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1158, 625, 1155])).
% 0.78/0.81 tff(1160,plain,
% 0.78/0.81 (m_main_v_turn(s8, c_2)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1159, 1019, 1055])).
% 0.78/0.81 tff(1161,plain,
% 0.78/0.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1162,plain,
% 0.78/0.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1163,plain,
% 0.78/0.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 0.78/0.81 tff(1164,plain,
% 0.78/0.81 (~m_main_v_turn(s8, c_1)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1163, 322, 1160])).
% 0.78/0.81 tff(1165,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1166,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1167,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 0.78/0.81 tff(1168,plain,
% 0.78/0.81 (~node5(s8)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1167, 641, 1164])).
% 0.78/0.81 tff(1169,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1170,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1171,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 0.78/0.81 tff(1172,plain,
% 0.78/0.81 (~node2(s8)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1171, 652, 1096])).
% 0.78/0.81 tff(1173,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1174,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1175,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 0.78/0.81 tff(1176,plain,
% 0.78/0.81 (~node3(s8)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1175, 663, 1096])).
% 0.78/0.81 tff(1177,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1178,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1179,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 0.78/0.81 tff(1180,plain,
% 0.78/0.81 (~node4(s8)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1179, 162, 1116])).
% 0.78/0.81 tff(1181,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1182,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1183,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 0.78/0.81 tff(1184,plain,
% 0.78/0.81 (node7(s8, s9)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1183, 217, 1127])).
% 0.78/0.81 tff(1185,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1186,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1187,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 0.78/0.81 tff(1188,plain,
% 0.78/0.81 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1187, 745, 1184])).
% 0.78/0.81 tff(1189,plain,
% 0.78/0.81 (node6(s8, s9)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1188, 1180, 1104, 1176, 1172, 1168, 1151])).
% 0.78/0.81 tff(1190,plain,
% 0.78/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1191,plain,
% 0.78/0.81 (((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1))) <=> (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1192,plain,
% 0.78/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))))),
% 0.78/0.81 inference(monotonicity,[status(thm)],[1191])).
% 0.78/0.81 tff(1193,plain,
% 0.78/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 0.78/0.81 inference(transitivity,[status(thm)],[1192, 1190])).
% 0.78/0.81 tff(1194,plain,
% 0.78/0.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1195,plain,
% 0.78/0.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 0.78/0.81 tff(1196,plain,
% 0.78/0.81 (~m_main_v_state1(s9, c_n1)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1195, 936, 1096, 1189])).
% 0.78/0.81 tff(1197,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1198,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1199,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 0.78/0.81 tff(1200,plain,
% 0.78/0.81 (~node2(s9)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1199, 652, 1196])).
% 0.78/0.81 tff(1201,plain,
% 0.78/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1202,plain,
% 0.78/0.81 (((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1)) <=> ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1203,plain,
% 0.78/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))))),
% 0.78/0.81 inference(monotonicity,[status(thm)],[1202])).
% 0.78/0.81 tff(1204,plain,
% 0.78/0.81 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 0.78/0.81 inference(transitivity,[status(thm)],[1203, 1201])).
% 0.78/0.81 tff(1205,plain,
% 0.78/0.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1206,plain,
% 0.78/0.81 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 0.78/0.81 tff(1207,plain,
% 0.78/0.81 (m_main_v_state1(s9, c_t1)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1206, 760, 1092, 1189])).
% 0.78/0.81 tff(1208,plain,
% 0.78/0.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1209,plain,
% 0.78/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1210,plain,
% 0.78/0.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 0.78/0.81 tff(1211,plain,
% 0.78/0.81 (~m_main_v_state2(s9, c_t2)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1210, 10, 1139])).
% 0.78/0.81 tff(1212,plain,
% 0.78/0.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1213,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1214,plain,
% 0.78/0.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1213, 1212])).
% 0.78/0.81 tff(1215,plain,
% 0.78/0.81 (~node1(s9)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1214, 206, 1211])).
% 0.78/0.81 tff(1216,plain,
% 0.78/0.81 (succ(s9, s10) <=> succ(s9, s10)),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1217,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 0.78/0.81 tff(1218,plain,
% 0.78/0.81 (succ(s9, s10)),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 0.78/0.81 tff(1219,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1220,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1221,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 0.78/0.81 tff(1222,plain,
% 0.78/0.81 (trans(s9, s10)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1221, 1218, 57])).
% 0.78/0.81 tff(1223,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10))),
% 0.78/0.81 inference(rewrite,[status(thm)],[])).
% 0.78/0.81 tff(1224,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 0.78/0.81 inference(quant_inst,[status(thm)],[])).
% 0.78/0.81 tff(1225,plain,
% 0.78/0.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 0.78/0.81 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 0.78/0.81 tff(1226,plain,
% 0.78/0.81 (node7(s9, s10)),
% 0.78/0.81 inference(unit_resolution,[status(thm)],[1225, 217, 1222])).
% 0.78/0.81 tff(1227,plain,
% 0.78/0.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1228,plain,
% 0.78/0.82 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1)) <=> ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1229,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))))),
% 0.78/0.82 inference(monotonicity,[status(thm)],[1228])).
% 0.78/0.82 tff(1230,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 0.78/0.82 inference(transitivity,[status(thm)],[1229, 1227])).
% 0.78/0.82 tff(1231,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1232,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 0.78/0.82 tff(1233,plain,
% 0.78/0.82 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1232, 965, 1226])).
% 0.78/0.82 tff(1234,plain,
% 0.78/0.82 (m_main_v_state1(s10, c_c1)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1233, 1215, 1139, 1207, 1200, 1147])).
% 0.78/0.82 tff(1235,plain,
% 0.78/0.82 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1236,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1237,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 0.78/0.82 tff(1238,plain,
% 0.78/0.82 (~m_main_v_state1(s10, c_t1)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1237, 289, 1234])).
% 0.78/0.82 tff(1239,plain,
% 0.78/0.82 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1240,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1241,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 0.78/0.82 tff(1242,plain,
% 0.78/0.82 (~node5(s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1241, 300, 1238])).
% 0.78/0.82 tff(1243,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1244,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1245,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 0.78/0.82 tff(1246,plain,
% 0.78/0.82 (node14(s9, s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1245, 130, 1222])).
% 0.78/0.82 tff(1247,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1248,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1249,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2)),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 0.78/0.82 tff(1250,plain,
% 0.78/0.82 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1249, 893, 1246])).
% 0.78/0.82 tff(1251,plain,
% 0.78/0.82 (m_main_v_state2(s10, c_t2)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1250, 1207, 1139])).
% 0.78/0.82 tff(1252,plain,
% 0.78/0.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1253,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1254,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 0.78/0.82 tff(1255,plain,
% 0.78/0.82 (~m_main_v_state2(s10, c_n2)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1254, 10, 1251])).
% 0.78/0.82 tff(1256,plain,
% 0.78/0.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1257,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1258,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 0.78/0.82 tff(1259,plain,
% 0.78/0.82 (~node4(s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1258, 162, 1255])).
% 0.78/0.82 tff(1260,plain,
% 0.78/0.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1261,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1262,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1261, 1260])).
% 0.78/0.82 tff(1263,plain,
% 0.78/0.82 (~m_main_v_state2(s10, c_c2)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1262, 173, 1251])).
% 0.78/0.82 tff(1264,plain,
% 0.78/0.82 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1265,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1266,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 0.78/0.82 tff(1267,plain,
% 0.78/0.82 (~node3(s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1266, 184, 1263])).
% 0.78/0.82 tff(1268,plain,
% 0.78/0.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1269,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1270,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 0.78/0.82 tff(1271,plain,
% 0.78/0.82 (~node2(s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1270, 195, 1255])).
% 0.78/0.82 tff(1272,plain,
% 0.78/0.82 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1273,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1274,plain,
% 0.78/0.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 0.78/0.82 tff(1275,plain,
% 0.78/0.82 (~m_main_v_state1(s10, c_n1)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1274, 449, 1234])).
% 0.78/0.82 tff(1276,plain,
% 0.78/0.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1277,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1278,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 0.78/0.82 tff(1279,plain,
% 0.78/0.82 (~node1(s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1278, 249, 1275])).
% 0.78/0.82 tff(1280,plain,
% 0.78/0.82 (succ(s10, s11) <=> succ(s10, s11)),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1281,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 0.78/0.82 tff(1282,plain,
% 0.78/0.82 (succ(s10, s11)),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 0.78/0.82 tff(1283,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1284,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1285,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 0.78/0.82 tff(1286,plain,
% 0.78/0.82 (trans(s10, s11)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1285, 1282, 57])).
% 0.78/0.82 tff(1287,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1288,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1289,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 0.78/0.82 tff(1290,plain,
% 0.78/0.82 (node7(s10, s11)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1289, 217, 1286])).
% 0.78/0.82 tff(1291,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1292,plain,
% 0.78/0.82 (((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1)) <=> (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1293,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))))),
% 0.78/0.82 inference(monotonicity,[status(thm)],[1292])).
% 0.78/0.82 tff(1294,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 0.78/0.82 inference(transitivity,[status(thm)],[1293, 1291])).
% 0.78/0.82 tff(1295,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1296,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1295, 1294])).
% 0.78/0.82 tff(1297,plain,
% 0.78/0.82 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1296, 478, 1290])).
% 0.78/0.82 tff(1298,plain,
% 0.78/0.82 (m_main_v_state1(s11, c_n1)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1297, 1279, 1234, 1271, 1267, 1259, 1242])).
% 0.78/0.82 tff(1299,plain,
% 0.78/0.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1300,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1301,plain,
% 0.78/0.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 0.78/0.82 tff(1302,plain,
% 0.78/0.82 (~node15(s9)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1301, 21, 1211])).
% 0.78/0.82 tff(1303,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1304,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 0.78/0.82 inference(quant_inst,[status(thm)],[])).
% 0.78/0.82 tff(1305,plain,
% 0.78/0.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 0.78/0.82 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 0.78/0.82 tff(1306,plain,
% 0.78/0.82 (node18(s9, s10)),
% 0.78/0.82 inference(unit_resolution,[status(thm)],[1305, 71, 1222])).
% 0.78/0.82 tff(1307,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1308,plain,
% 0.78/0.82 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1)) <=> (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 0.78/0.82 inference(rewrite,[status(thm)],[])).
% 0.78/0.82 tff(1309,plain,
% 0.78/0.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)))),
% 0.78/0.83 inference(monotonicity,[status(thm)],[1308])).
% 0.78/0.83 tff(1310,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 0.78/0.83 inference(transitivity,[status(thm)],[1309, 1307])).
% 0.78/0.83 tff(1311,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1312,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1311, 1310])).
% 0.78/0.83 tff(1313,plain,
% 0.78/0.83 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1312, 863, 1306])).
% 0.78/0.83 tff(1314,plain,
% 0.78/0.83 (m_main_v_turn(s10, c_1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1313, 1302, 1139, 1207])).
% 0.78/0.83 tff(1315,plain,
% 0.78/0.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1316,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1317,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 0.78/0.83 tff(1318,plain,
% 0.78/0.83 (~m_main_v_turn(s10, c_2)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1317, 322, 1314])).
% 0.78/0.83 tff(1319,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1320,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1321,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 0.78/0.83 tff(1322,plain,
% 0.78/0.83 (~node12(s10)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1321, 350, 1318])).
% 0.78/0.83 tff(1323,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1324,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1325,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 0.78/0.83 tff(1326,plain,
% 0.78/0.83 (~node8(s10)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1325, 383, 1255])).
% 0.78/0.83 tff(1327,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1328,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1329,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1328, 1327])).
% 0.78/0.83 tff(1330,plain,
% 0.78/0.83 (~node9(s10)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1329, 311, 1255])).
% 0.78/0.83 tff(1331,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1332,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1333,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 0.78/0.83 tff(1334,plain,
% 0.78/0.83 (~node10(s10)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1333, 372, 1255])).
% 0.78/0.83 tff(1335,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1336,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1337,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 0.78/0.83 tff(1338,plain,
% 0.78/0.83 (~node11(s10)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1337, 361, 1275])).
% 0.78/0.83 tff(1339,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1340,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1341,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1340, 1339])).
% 0.78/0.83 tff(1342,plain,
% 0.78/0.83 (node14(s10, s11)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1341, 130, 1286])).
% 0.78/0.83 tff(1343,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1344,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1345,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 0.78/0.83 tff(1346,plain,
% 0.78/0.83 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1345, 401, 1342])).
% 0.78/0.83 tff(1347,plain,
% 0.78/0.83 (node13(s10, s11)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1346, 1338, 1263, 1334, 1330, 1326, 1322])).
% 0.78/0.83 tff(1348,plain,
% 0.78/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1349,plain,
% 0.78/0.83 (((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2)) <=> ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1350,plain,
% 0.78/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))))),
% 0.78/0.83 inference(monotonicity,[status(thm)],[1349])).
% 0.78/0.83 tff(1351,plain,
% 0.78/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 0.78/0.83 inference(transitivity,[status(thm)],[1350, 1348])).
% 0.78/0.83 tff(1352,plain,
% 0.78/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1353,plain,
% 0.78/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 0.78/0.83 tff(1354,plain,
% 0.78/0.83 (m_main_v_state2(s11, c_t2)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1353, 563, 1251, 1347])).
% 0.78/0.83 tff(1355,plain,
% 0.78/0.83 (succ(s11, s12) <=> succ(s11, s12)),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1356,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 0.78/0.83 tff(1357,plain,
% 0.78/0.83 (succ(s11, s12)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 0.78/0.83 tff(1358,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1359,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1360,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 0.78/0.83 tff(1361,plain,
% 0.78/0.83 (trans(s11, s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1360, 1357, 57])).
% 0.78/0.83 tff(1362,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1363,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1364,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1363, 1362])).
% 0.78/0.83 tff(1365,plain,
% 0.78/0.83 (node7(s11, s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1364, 217, 1361])).
% 0.78/0.83 tff(1366,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1367,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1368,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 0.78/0.83 tff(1369,plain,
% 0.78/0.83 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1368, 598, 1365])).
% 0.78/0.83 tff(1370,plain,
% 0.78/0.83 (m_main_v_state1(s12, c_t1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1369, 1354, 1298])).
% 0.78/0.83 tff(1371,plain,
% 0.78/0.83 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1372,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1373,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 0.78/0.83 tff(1374,plain,
% 0.78/0.83 (~m_main_v_state1(s12, c_n1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1373, 35, 1370])).
% 0.78/0.83 tff(1375,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1376,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1377,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 0.78/0.83 tff(1378,plain,
% 0.78/0.83 (~node1(s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1377, 249, 1374])).
% 0.78/0.83 tff(1379,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1380,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1381,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1380, 1379])).
% 0.78/0.83 tff(1382,plain,
% 0.78/0.83 (node18(s11, s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1381, 71, 1361])).
% 0.78/0.83 tff(1383,plain,
% 0.78/0.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1384,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1385,plain,
% 0.78/0.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 0.78/0.83 tff(1386,plain,
% 0.78/0.83 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1385, 625, 1382])).
% 0.78/0.83 tff(1387,plain,
% 0.78/0.83 (m_main_v_turn(s12, c_2)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1386, 1354, 1298])).
% 0.78/0.83 tff(1388,plain,
% 0.78/0.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1389,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1390,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 0.78/0.83 tff(1391,plain,
% 0.78/0.83 (~m_main_v_turn(s12, c_1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1390, 322, 1387])).
% 0.78/0.83 tff(1392,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1393,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1394,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 0.78/0.83 tff(1395,plain,
% 0.78/0.83 (~node5(s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1394, 641, 1391])).
% 0.78/0.83 tff(1396,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1397,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1398,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1397, 1396])).
% 0.78/0.83 tff(1399,plain,
% 0.78/0.83 (~node2(s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1398, 652, 1374])).
% 0.78/0.83 tff(1400,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1401,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1402,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 0.78/0.83 tff(1403,plain,
% 0.78/0.83 (~node3(s12)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1402, 663, 1374])).
% 0.78/0.83 tff(1404,plain,
% 0.78/0.83 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1405,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1406,plain,
% 0.78/0.83 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 0.78/0.83 tff(1407,plain,
% 0.78/0.83 (~m_main_v_state1(s12, c_c1)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1406, 289, 1370])).
% 0.78/0.83 tff(1408,plain,
% 0.78/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1409,plain,
% 0.78/0.83 (((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2))) <=> (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1410,plain,
% 0.78/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))))),
% 0.78/0.83 inference(monotonicity,[status(thm)],[1409])).
% 0.78/0.83 tff(1411,plain,
% 0.78/0.83 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 0.78/0.83 inference(transitivity,[status(thm)],[1410, 1408])).
% 0.78/0.83 tff(1412,plain,
% 0.78/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1413,plain,
% 0.78/0.83 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 0.78/0.83 tff(1414,plain,
% 0.78/0.83 (~m_main_v_state2(s11, c_n2)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1413, 416, 1255, 1347])).
% 0.78/0.83 tff(1415,plain,
% 0.78/0.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 0.78/0.83 inference(rewrite,[status(thm)],[])).
% 0.78/0.83 tff(1416,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 0.78/0.83 inference(quant_inst,[status(thm)],[])).
% 0.78/0.83 tff(1417,plain,
% 0.78/0.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 0.78/0.83 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 0.78/0.83 tff(1418,plain,
% 0.78/0.83 (~node9(s11)),
% 0.78/0.83 inference(unit_resolution,[status(thm)],[1417, 311, 1414])).
% 0.78/0.84 tff(1419,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1420,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1421,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 0.78/0.84 tff(1422,plain,
% 0.78/0.84 (~node10(s11)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1421, 372, 1414])).
% 0.78/0.84 tff(1423,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1424,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1425,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 0.78/0.84 tff(1426,plain,
% 0.78/0.84 (~node8(s11)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1425, 383, 1414])).
% 0.78/0.84 tff(1427,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1428,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1429,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 0.78/0.84 tff(1430,plain,
% 0.78/0.84 (node14(s11, s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1429, 130, 1361])).
% 0.78/0.84 tff(1431,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1432,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1433,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2)),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 0.78/0.84 tff(1434,plain,
% 0.78/0.84 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | m_main_v_state2(s12, c_c2)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1433, 704, 1430])).
% 0.78/0.84 tff(1435,plain,
% 0.78/0.84 (m_main_v_state2(s12, c_c2)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1434, 1426, 1298, 1354, 1422, 1418])).
% 0.78/0.84 tff(1436,plain,
% 0.78/0.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1437,plain,
% 0.78/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1438,plain,
% 0.78/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 0.78/0.84 tff(1439,plain,
% 0.78/0.84 (~m_main_v_state2(s12, c_n2)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1438, 716, 1435])).
% 0.78/0.84 tff(1440,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1441,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1442,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 0.78/0.84 tff(1443,plain,
% 0.78/0.84 (~node4(s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1442, 162, 1439])).
% 0.78/0.84 tff(1444,plain,
% 0.78/0.84 (succ(s12, s13) <=> succ(s12, s13)),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1445,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 0.78/0.84 tff(1446,plain,
% 0.78/0.84 (succ(s12, s13)),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1445, 1444])).
% 0.78/0.84 tff(1447,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1448,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1449,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 0.78/0.84 tff(1450,plain,
% 0.78/0.84 (trans(s12, s13)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1449, 1446, 57])).
% 0.78/0.84 tff(1451,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1452,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1453,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 0.78/0.84 tff(1454,plain,
% 0.78/0.84 (node7(s12, s13)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1453, 217, 1450])).
% 0.78/0.84 tff(1455,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1456,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1457,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 0.78/0.84 tff(1458,plain,
% 0.78/0.84 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1457, 745, 1454])).
% 0.78/0.84 tff(1459,plain,
% 0.78/0.84 (node6(s12, s13)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1458, 1443, 1407, 1403, 1399, 1395, 1378])).
% 0.78/0.84 tff(1460,plain,
% 0.78/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1461,plain,
% 0.78/0.84 (((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1)) <=> ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1462,plain,
% 0.78/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))))),
% 0.78/0.84 inference(monotonicity,[status(thm)],[1461])).
% 0.78/0.84 tff(1463,plain,
% 0.78/0.84 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 0.78/0.84 inference(transitivity,[status(thm)],[1462, 1460])).
% 0.78/0.84 tff(1464,plain,
% 0.78/0.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1465,plain,
% 0.78/0.84 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1464, 1463])).
% 0.78/0.84 tff(1466,plain,
% 0.78/0.84 (m_main_v_state1(s13, c_t1)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1465, 760, 1370, 1459])).
% 0.78/0.84 tff(1467,plain,
% 0.78/0.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1468,plain,
% 0.78/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1469,plain,
% 0.78/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1468, 1467])).
% 0.78/0.84 tff(1470,plain,
% 0.78/0.84 (~m_main_v_state2(s12, c_t2)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1469, 173, 1435])).
% 0.78/0.84 tff(1471,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1472,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1473,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 0.78/0.84 tff(1474,plain,
% 0.78/0.84 (~node12(s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1473, 778, 1470])).
% 0.78/0.84 tff(1475,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1476,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1477,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 0.78/0.84 tff(1478,plain,
% 0.78/0.84 (~node11(s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1477, 361, 1374])).
% 0.78/0.84 tff(1479,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1480,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1481,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 0.78/0.84 tff(1482,plain,
% 0.78/0.84 (~node10(s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1481, 793, 1407])).
% 0.78/0.84 tff(1483,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1484,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1485,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 0.78/0.84 tff(1486,plain,
% 0.78/0.84 (~node9(s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1485, 804, 1374])).
% 0.78/0.84 tff(1487,plain,
% 0.78/0.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1488,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1489,plain,
% 0.78/0.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 0.78/0.84 tff(1490,plain,
% 0.78/0.84 (~node8(s12)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1489, 383, 1439])).
% 0.78/0.84 tff(1491,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1492,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1493,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 0.78/0.84 tff(1494,plain,
% 0.78/0.84 (node14(s12, s13)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1493, 130, 1450])).
% 0.78/0.84 tff(1495,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1496,plain,
% 0.78/0.84 (((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2)) <=> (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1497,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))))),
% 0.78/0.84 inference(monotonicity,[status(thm)],[1496])).
% 0.78/0.84 tff(1498,plain,
% 0.78/0.84 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 0.78/0.84 inference(transitivity,[status(thm)],[1497, 1495])).
% 0.78/0.84 tff(1499,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1500,plain,
% 0.78/0.84 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 0.78/0.84 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 0.78/0.84 tff(1501,plain,
% 0.78/0.84 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1500, 826, 1494])).
% 0.78/0.84 tff(1502,plain,
% 0.78/0.84 (m_main_v_state2(s13, c_n2)),
% 0.78/0.84 inference(unit_resolution,[status(thm)],[1501, 1490, 1435, 1486, 1482, 1478, 1474])).
% 0.78/0.84 tff(1503,plain,
% 0.78/0.84 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(1504,plain,
% 0.78/0.84 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 0.78/0.84 inference(quant_inst,[status(thm)],[])).
% 0.78/0.84 tff(1505,plain,
% 0.78/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 0.78/0.85 tff(1506,plain,
% 0.78/0.85 (~m_main_v_state2(s13, c_t2)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1505, 10, 1502])).
% 0.78/0.85 tff(1507,plain,
% 0.78/0.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1508,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1509,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 0.78/0.85 tff(1510,plain,
% 0.78/0.85 (~node15(s13)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1509, 21, 1506])).
% 0.78/0.85 tff(1511,plain,
% 0.78/0.85 (succ(s13, s14) <=> succ(s13, s14)),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1512,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 0.78/0.85 tff(1513,plain,
% 0.78/0.85 (succ(s13, s14)),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 0.78/0.85 tff(1514,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1515,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1516,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 0.78/0.85 tff(1517,plain,
% 0.78/0.85 (trans(s13, s14)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1516, 1513, 57])).
% 0.78/0.85 tff(1518,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1519,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1520,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 0.78/0.85 tff(1521,plain,
% 0.78/0.85 (node18(s13, s14)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1520, 71, 1517])).
% 0.78/0.85 tff(1522,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1523,plain,
% 0.78/0.85 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1)) <=> (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1524,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[1523])).
% 0.78/0.85 tff(1525,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 0.78/0.85 inference(transitivity,[status(thm)],[1524, 1522])).
% 0.78/0.85 tff(1526,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1527,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 0.78/0.85 tff(1528,plain,
% 0.78/0.85 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1527, 863, 1521])).
% 0.78/0.85 tff(1529,plain,
% 0.78/0.85 (m_main_v_turn(s14, c_1)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1528, 1510, 1502, 1466])).
% 0.78/0.85 tff(1530,plain,
% 0.78/0.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1531,plain,
% 0.78/0.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1532,plain,
% 0.78/0.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 0.78/0.85 tff(1533,plain,
% 0.78/0.85 (~m_main_v_turn(s14, c_2)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1532, 322, 1529])).
% 0.78/0.85 tff(1534,plain,
% 0.78/0.85 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1535,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1536,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 0.78/0.85 tff(1537,plain,
% 0.78/0.85 (~node12(s14)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1536, 350, 1533])).
% 0.78/0.85 tff(1538,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1539,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1540,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 0.78/0.85 tff(1541,plain,
% 0.78/0.85 (node14(s13, s14)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1540, 130, 1517])).
% 0.78/0.85 tff(1542,plain,
% 0.78/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1543,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1544,plain,
% 0.78/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 0.78/0.85 tff(1545,plain,
% 0.78/0.85 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1544, 893, 1541])).
% 0.78/0.85 tff(1546,plain,
% 0.78/0.85 (m_main_v_state2(s14, c_t2)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1545, 1466, 1502])).
% 0.78/0.85 tff(1547,plain,
% 0.78/0.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1548,plain,
% 0.78/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1549,plain,
% 0.78/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 0.78/0.85 tff(1550,plain,
% 0.78/0.85 (~m_main_v_state2(s14, c_n2)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1549, 10, 1546])).
% 0.78/0.85 tff(1551,plain,
% 0.78/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1552,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1553,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 0.78/0.85 tff(1554,plain,
% 0.78/0.85 (~node8(s14)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1553, 383, 1550])).
% 0.78/0.85 tff(1555,plain,
% 0.78/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1556,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 0.78/0.85 inference(quant_inst,[status(thm)],[])).
% 0.78/0.85 tff(1557,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 0.78/0.85 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 0.78/0.85 tff(1558,plain,
% 0.78/0.85 (~node9(s14)),
% 0.78/0.85 inference(unit_resolution,[status(thm)],[1557, 311, 1550])).
% 0.78/0.85 tff(1559,plain,
% 0.78/0.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(1560,plain,
% 0.78/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1561,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 0.87/0.85 tff(1562,plain,
% 0.87/0.85 (~node10(s14)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1561, 372, 1550])).
% 0.87/0.85 tff(1563,plain,
% 0.87/0.85 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1564,plain,
% 0.87/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1565,plain,
% 0.87/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1564, 1563])).
% 0.87/0.85 tff(1566,plain,
% 0.87/0.85 (~m_main_v_state2(s14, c_c2)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1565, 173, 1546])).
% 0.87/0.85 tff(1567,plain,
% 0.87/0.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1568,plain,
% 0.87/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1569,plain,
% 0.87/0.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 0.87/0.85 tff(1570,plain,
% 0.87/0.85 (~m_main_v_state2(s13, c_c2)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1569, 716, 1502])).
% 0.87/0.85 tff(1571,plain,
% 0.87/0.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1572,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1573,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 0.87/0.85 tff(1574,plain,
% 0.87/0.85 (~node3(s13)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1573, 184, 1570])).
% 0.87/0.85 tff(1575,plain,
% 0.87/0.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1576,plain,
% 0.87/0.85 (((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1))) <=> (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1577,plain,
% 0.87/0.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))))),
% 0.87/0.85 inference(monotonicity,[status(thm)],[1576])).
% 0.87/0.85 tff(1578,plain,
% 0.87/0.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 0.87/0.85 inference(transitivity,[status(thm)],[1577, 1575])).
% 0.87/0.85 tff(1579,plain,
% 0.87/0.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1580,plain,
% 0.87/0.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 0.87/0.85 tff(1581,plain,
% 0.87/0.85 (~m_main_v_state1(s13, c_n1)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1580, 936, 1374, 1459])).
% 0.87/0.85 tff(1582,plain,
% 0.87/0.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1583,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1584,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 0.87/0.85 tff(1585,plain,
% 0.87/0.85 (~node2(s13)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1584, 652, 1581])).
% 0.87/0.85 tff(1586,plain,
% 0.87/0.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1587,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1588,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 0.87/0.85 tff(1589,plain,
% 0.87/0.85 (~node1(s13)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1588, 206, 1506])).
% 0.87/0.85 tff(1590,plain,
% 0.87/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1591,plain,
% 0.87/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1592,plain,
% 0.87/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 0.87/0.85 tff(1593,plain,
% 0.87/0.85 (node7(s13, s14)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1592, 217, 1517])).
% 0.87/0.85 tff(1594,plain,
% 0.87/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1595,plain,
% 0.87/0.85 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1)) <=> ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1596,plain,
% 0.87/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))))),
% 0.87/0.85 inference(monotonicity,[status(thm)],[1595])).
% 0.87/0.85 tff(1597,plain,
% 0.87/0.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 0.87/0.85 inference(transitivity,[status(thm)],[1596, 1594])).
% 0.87/0.85 tff(1598,plain,
% 0.87/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1599,plain,
% 0.87/0.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 0.87/0.85 tff(1600,plain,
% 0.87/0.85 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1599, 965, 1593])).
% 0.87/0.85 tff(1601,plain,
% 0.87/0.85 (m_main_v_state1(s14, c_c1)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1600, 1589, 1502, 1466, 1585, 1574])).
% 0.87/0.85 tff(1602,plain,
% 0.87/0.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1603,plain,
% 0.87/0.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1604,plain,
% 0.87/0.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1))),
% 0.87/0.85 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 0.87/0.85 tff(1605,plain,
% 0.87/0.85 (~m_main_v_state1(s14, c_n1)),
% 0.87/0.85 inference(unit_resolution,[status(thm)],[1604, 449, 1601])).
% 0.87/0.85 tff(1606,plain,
% 0.87/0.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 0.87/0.85 inference(rewrite,[status(thm)],[])).
% 0.87/0.85 tff(1607,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 0.87/0.85 inference(quant_inst,[status(thm)],[])).
% 0.87/0.85 tff(1608,plain,
% 0.87/0.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 0.87/0.86 tff(1609,plain,
% 0.87/0.86 (~node11(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1608, 361, 1605])).
% 0.87/0.86 tff(1610,plain,
% 0.87/0.86 (succ(s14, s15) <=> succ(s14, s15)),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1611,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 0.87/0.86 tff(1612,plain,
% 0.87/0.86 (succ(s14, s15)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1611, 1610])).
% 0.87/0.86 tff(1613,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1614,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1615,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 0.87/0.86 tff(1616,plain,
% 0.87/0.86 (trans(s14, s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1615, 1612, 57])).
% 0.87/0.86 tff(1617,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1618,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1619,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 0.87/0.86 tff(1620,plain,
% 0.87/0.86 (node14(s14, s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1619, 130, 1616])).
% 0.87/0.86 tff(1621,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1622,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1623,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 0.87/0.86 tff(1624,plain,
% 0.87/0.86 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1623, 401, 1620])).
% 0.87/0.86 tff(1625,plain,
% 0.87/0.86 (node13(s14, s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1624, 1609, 1566, 1562, 1558, 1554, 1537])).
% 0.87/0.86 tff(1626,plain,
% 0.87/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1627,plain,
% 0.87/0.86 (((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2))) <=> (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1628,plain,
% 0.87/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))))),
% 0.87/0.86 inference(monotonicity,[status(thm)],[1627])).
% 0.87/0.86 tff(1629,plain,
% 0.87/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 0.87/0.86 inference(transitivity,[status(thm)],[1628, 1626])).
% 0.87/0.86 tff(1630,plain,
% 0.87/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1631,plain,
% 0.87/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 0.87/0.86 tff(1632,plain,
% 0.87/0.86 (~m_main_v_state2(s15, c_n2)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1631, 416, 1550, 1625])).
% 0.87/0.86 tff(1633,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1634,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1635,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 0.87/0.86 tff(1636,plain,
% 0.87/0.86 (~node9(s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1635, 311, 1632])).
% 0.87/0.86 tff(1637,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1638,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1639,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 0.87/0.86 tff(1640,plain,
% 0.87/0.86 (~node10(s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1639, 372, 1632])).
% 0.87/0.86 tff(1641,plain,
% 0.87/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1642,plain,
% 0.87/0.86 (((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2)) <=> ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1643,plain,
% 0.87/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))))),
% 0.87/0.86 inference(monotonicity,[status(thm)],[1642])).
% 0.87/0.86 tff(1644,plain,
% 0.87/0.86 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 0.87/0.86 inference(transitivity,[status(thm)],[1643, 1641])).
% 0.87/0.86 tff(1645,plain,
% 0.87/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1646,plain,
% 0.87/0.86 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1645, 1644])).
% 0.87/0.86 tff(1647,plain,
% 0.87/0.86 (m_main_v_state2(s15, c_t2)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1646, 563, 1546, 1625])).
% 0.87/0.86 tff(1648,plain,
% 0.87/0.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1649,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1650,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 0.87/0.86 tff(1651,plain,
% 0.87/0.86 (~m_main_v_state1(s14, c_t1)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1650, 289, 1601])).
% 0.87/0.86 tff(1652,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1653,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1654,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 0.87/0.86 tff(1655,plain,
% 0.87/0.86 (~node5(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1654, 300, 1651])).
% 0.87/0.86 tff(1656,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1657,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1658,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 0.87/0.86 tff(1659,plain,
% 0.87/0.86 (~node4(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1658, 162, 1550])).
% 0.87/0.86 tff(1660,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1661,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1662,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 0.87/0.86 tff(1663,plain,
% 0.87/0.86 (~node3(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1662, 184, 1566])).
% 0.87/0.86 tff(1664,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1665,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1666,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 0.87/0.86 tff(1667,plain,
% 0.87/0.86 (~node2(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1666, 195, 1550])).
% 0.87/0.86 tff(1668,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1669,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1670,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 0.87/0.86 tff(1671,plain,
% 0.87/0.86 (~node1(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1670, 249, 1605])).
% 0.87/0.86 tff(1672,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1673,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1674,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 0.87/0.86 tff(1675,plain,
% 0.87/0.86 (node7(s14, s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1674, 217, 1616])).
% 0.87/0.86 tff(1676,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1677,plain,
% 0.87/0.86 (((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1)) <=> (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1678,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))))),
% 0.87/0.86 inference(monotonicity,[status(thm)],[1677])).
% 0.87/0.86 tff(1679,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 0.87/0.86 inference(transitivity,[status(thm)],[1678, 1676])).
% 0.87/0.86 tff(1680,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1681,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 0.87/0.86 tff(1682,plain,
% 0.87/0.86 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1681, 478, 1675])).
% 0.87/0.86 tff(1683,plain,
% 0.87/0.86 (m_main_v_state1(s15, c_n1)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1682, 1671, 1601, 1667, 1663, 1659, 1655])).
% 0.87/0.86 tff(1684,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1685,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1686,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1685, 1684])).
% 0.87/0.86 tff(1687,plain,
% 0.87/0.86 (~node8(s15)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1686, 383, 1632])).
% 0.87/0.86 tff(1688,plain,
% 0.87/0.86 (succ(s15, s16) <=> succ(s15, s16)),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1689,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 0.87/0.86 tff(1690,plain,
% 0.87/0.86 (succ(s15, s16)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 0.87/0.86 tff(1691,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1692,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1693,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1692, 1691])).
% 0.87/0.86 tff(1694,plain,
% 0.87/0.86 (trans(s15, s16)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1693, 1690, 57])).
% 0.87/0.86 tff(1695,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1696,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1697,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 0.87/0.86 tff(1698,plain,
% 0.87/0.86 (node14(s15, s16)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1697, 130, 1694])).
% 0.87/0.86 tff(1699,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1700,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1701,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 0.87/0.86 tff(1702,plain,
% 0.87/0.86 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | m_main_v_state2(s16, c_c2)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1701, 704, 1698])).
% 0.87/0.86 tff(1703,plain,
% 0.87/0.86 (m_main_v_state2(s16, c_c2)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1702, 1687, 1683, 1647, 1640, 1636])).
% 0.87/0.86 tff(1704,plain,
% 0.87/0.86 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1705,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1706,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1705, 1704])).
% 0.87/0.86 tff(1707,plain,
% 0.87/0.86 (~m_main_v_state2(s16, c_t2)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1706, 173, 1703])).
% 0.87/0.86 tff(1708,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1709,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1710,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 0.87/0.86 tff(1711,plain,
% 0.87/0.86 (~node12(s16)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1710, 778, 1707])).
% 0.87/0.86 tff(1712,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1713,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1714,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1713, 1712])).
% 0.87/0.86 tff(1715,plain,
% 0.87/0.86 (node7(s15, s16)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1714, 217, 1694])).
% 0.87/0.86 tff(1716,plain,
% 0.87/0.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1717,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1718,plain,
% 0.87/0.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 0.87/0.86 tff(1719,plain,
% 0.87/0.86 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1718, 598, 1715])).
% 0.87/0.86 tff(1720,plain,
% 0.87/0.86 (m_main_v_state1(s16, c_t1)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1719, 1647, 1683])).
% 0.87/0.86 tff(1721,plain,
% 0.87/0.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1722,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1723,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 0.87/0.86 tff(1724,plain,
% 0.87/0.86 (~m_main_v_state1(s16, c_n1)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1723, 35, 1720])).
% 0.87/0.86 tff(1725,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1726,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1727,plain,
% 0.87/0.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 0.87/0.86 tff(1728,plain,
% 0.87/0.86 (~node11(s16)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1727, 361, 1724])).
% 0.87/0.86 tff(1729,plain,
% 0.87/0.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 0.87/0.86 inference(rewrite,[status(thm)],[])).
% 0.87/0.86 tff(1730,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 0.87/0.86 inference(quant_inst,[status(thm)],[])).
% 0.87/0.86 tff(1731,plain,
% 0.87/0.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1))),
% 0.87/0.86 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 0.87/0.86 tff(1732,plain,
% 0.87/0.86 (~m_main_v_state1(s16, c_c1)),
% 0.87/0.86 inference(unit_resolution,[status(thm)],[1731, 289, 1720])).
% 0.87/0.86 tff(1733,plain,
% 0.87/0.86 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1734,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1735,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 0.87/0.87 tff(1736,plain,
% 0.87/0.87 (~node10(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1735, 793, 1732])).
% 0.87/0.87 tff(1737,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1738,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1739,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 0.87/0.87 tff(1740,plain,
% 0.87/0.87 (~node9(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1739, 804, 1724])).
% 0.87/0.87 tff(1741,plain,
% 0.87/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1742,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1743,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 0.87/0.87 tff(1744,plain,
% 0.87/0.87 (~m_main_v_state2(s16, c_n2)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1743, 716, 1703])).
% 0.87/0.87 tff(1745,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1746,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1747,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 0.87/0.87 tff(1748,plain,
% 0.87/0.87 (~node8(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1747, 383, 1744])).
% 0.87/0.87 tff(1749,plain,
% 0.87/0.87 (succ(s16, s17) <=> succ(s16, s17)),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1750,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 0.87/0.87 tff(1751,plain,
% 0.87/0.87 (succ(s16, s17)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 0.87/0.87 tff(1752,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1753,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1754,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 0.87/0.87 tff(1755,plain,
% 0.87/0.87 (trans(s16, s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1754, 1751, 57])).
% 0.87/0.87 tff(1756,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1757,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1758,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 0.87/0.87 tff(1759,plain,
% 0.87/0.87 (node14(s16, s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1758, 130, 1755])).
% 0.87/0.87 tff(1760,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1761,plain,
% 0.87/0.87 (((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2)) <=> (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1762,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))))),
% 0.87/0.87 inference(monotonicity,[status(thm)],[1761])).
% 0.87/0.87 tff(1763,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 0.87/0.87 inference(transitivity,[status(thm)],[1762, 1760])).
% 0.87/0.87 tff(1764,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1765,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 0.87/0.87 tff(1766,plain,
% 0.87/0.87 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1765, 826, 1759])).
% 0.87/0.87 tff(1767,plain,
% 0.87/0.87 (m_main_v_state2(s17, c_n2)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1766, 1748, 1703, 1740, 1736, 1728, 1711])).
% 0.87/0.87 tff(1768,plain,
% 0.87/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1769,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1770,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 0.87/0.87 tff(1771,plain,
% 0.87/0.87 (~m_main_v_state2(s17, c_c2)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1770, 716, 1767])).
% 0.87/0.87 tff(1772,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1773,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1774,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 0.87/0.87 tff(1775,plain,
% 0.87/0.87 (~node3(s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1774, 184, 1771])).
% 0.87/0.87 tff(1776,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1777,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1778,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 0.87/0.87 tff(1779,plain,
% 0.87/0.87 (~node1(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1778, 249, 1724])).
% 0.87/0.87 tff(1780,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1781,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1782,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 0.87/0.87 tff(1783,plain,
% 0.87/0.87 (node18(s15, s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1782, 71, 1694])).
% 0.87/0.87 tff(1784,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1785,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1786,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1785, 1784])).
% 0.87/0.87 tff(1787,plain,
% 0.87/0.87 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1786, 625, 1783])).
% 0.87/0.87 tff(1788,plain,
% 0.87/0.87 (m_main_v_turn(s16, c_2)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1787, 1647, 1683])).
% 0.87/0.87 tff(1789,plain,
% 0.87/0.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1790,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1791,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 0.87/0.87 tff(1792,plain,
% 0.87/0.87 (~m_main_v_turn(s16, c_1)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1791, 322, 1788])).
% 0.87/0.87 tff(1793,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1794,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1795,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 0.87/0.87 tff(1796,plain,
% 0.87/0.87 (~node5(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1795, 641, 1792])).
% 0.87/0.87 tff(1797,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1798,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1799,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 0.87/0.87 tff(1800,plain,
% 0.87/0.87 (~node2(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1799, 652, 1724])).
% 0.87/0.87 tff(1801,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1802,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1803,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 0.87/0.87 tff(1804,plain,
% 0.87/0.87 (~node3(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1803, 663, 1724])).
% 0.87/0.87 tff(1805,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1806,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1807,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 0.87/0.87 tff(1808,plain,
% 0.87/0.87 (~node4(s16)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1807, 162, 1744])).
% 0.87/0.87 tff(1809,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1810,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1811,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 0.87/0.87 tff(1812,plain,
% 0.87/0.87 (node7(s16, s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1811, 217, 1755])).
% 0.87/0.87 tff(1813,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1814,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1815,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 0.87/0.87 tff(1816,plain,
% 0.87/0.87 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1815, 745, 1812])).
% 0.87/0.87 tff(1817,plain,
% 0.87/0.87 (node6(s16, s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1816, 1808, 1732, 1804, 1800, 1796, 1779])).
% 0.87/0.87 tff(1818,plain,
% 0.87/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1819,plain,
% 0.87/0.87 (((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1))) <=> (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1820,plain,
% 0.87/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))))),
% 0.87/0.87 inference(monotonicity,[status(thm)],[1819])).
% 0.87/0.87 tff(1821,plain,
% 0.87/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 0.87/0.87 inference(transitivity,[status(thm)],[1820, 1818])).
% 0.87/0.87 tff(1822,plain,
% 0.87/0.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1823,plain,
% 0.87/0.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 0.87/0.87 tff(1824,plain,
% 0.87/0.87 (~m_main_v_state1(s17, c_n1)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1823, 936, 1724, 1817])).
% 0.87/0.87 tff(1825,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1826,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1827,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 0.87/0.87 tff(1828,plain,
% 0.87/0.87 (~node2(s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1827, 652, 1824])).
% 0.87/0.87 tff(1829,plain,
% 0.87/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1830,plain,
% 0.87/0.87 (((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1)) <=> ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1831,plain,
% 0.87/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))))),
% 0.87/0.87 inference(monotonicity,[status(thm)],[1830])).
% 0.87/0.87 tff(1832,plain,
% 0.87/0.87 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 0.87/0.87 inference(transitivity,[status(thm)],[1831, 1829])).
% 0.87/0.87 tff(1833,plain,
% 0.87/0.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1834,plain,
% 0.87/0.87 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 0.87/0.87 tff(1835,plain,
% 0.87/0.87 (m_main_v_state1(s17, c_t1)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1834, 760, 1720, 1817])).
% 0.87/0.87 tff(1836,plain,
% 0.87/0.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1837,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1838,plain,
% 0.87/0.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1837, 1836])).
% 0.87/0.87 tff(1839,plain,
% 0.87/0.87 (~m_main_v_state2(s17, c_t2)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1838, 10, 1767])).
% 0.87/0.87 tff(1840,plain,
% 0.87/0.87 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1841,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1842,plain,
% 0.87/0.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 0.87/0.87 tff(1843,plain,
% 0.87/0.87 (~node1(s17)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1842, 206, 1839])).
% 0.87/0.87 tff(1844,plain,
% 0.87/0.87 (succ(s17, s18) <=> succ(s17, s18)),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1845,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 0.87/0.87 tff(1846,plain,
% 0.87/0.87 (succ(s17, s18)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 0.87/0.87 tff(1847,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1848,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1849,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1848, 1847])).
% 0.87/0.87 tff(1850,plain,
% 0.87/0.87 (trans(s17, s18)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1849, 1846, 57])).
% 0.87/0.87 tff(1851,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1852,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 0.87/0.87 inference(quant_inst,[status(thm)],[])).
% 0.87/0.87 tff(1853,plain,
% 0.87/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 0.87/0.87 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 0.87/0.87 tff(1854,plain,
% 0.87/0.87 (node7(s17, s18)),
% 0.87/0.87 inference(unit_resolution,[status(thm)],[1853, 217, 1850])).
% 0.87/0.87 tff(1855,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1856,plain,
% 0.87/0.87 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1)) <=> ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 0.87/0.87 inference(rewrite,[status(thm)],[])).
% 0.87/0.87 tff(1857,plain,
% 0.87/0.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))))),
% 0.87/0.88 inference(monotonicity,[status(thm)],[1856])).
% 0.87/0.88 tff(1858,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 0.87/0.88 inference(transitivity,[status(thm)],[1857, 1855])).
% 0.87/0.88 tff(1859,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1860,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 0.87/0.88 tff(1861,plain,
% 0.87/0.88 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1860, 965, 1854])).
% 0.87/0.88 tff(1862,plain,
% 0.87/0.88 (m_main_v_state1(s18, c_c1)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1861, 1843, 1767, 1835, 1828, 1775])).
% 0.87/0.88 tff(1863,plain,
% 0.87/0.88 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1864,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1865,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1864, 1863])).
% 0.87/0.88 tff(1866,plain,
% 0.87/0.88 (~m_main_v_state1(s18, c_t1)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1865, 289, 1862])).
% 0.87/0.88 tff(1867,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1868,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1869,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 0.87/0.88 tff(1870,plain,
% 0.87/0.88 (~node5(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1869, 300, 1866])).
% 0.87/0.88 tff(1871,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1872,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1873,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 0.87/0.88 tff(1874,plain,
% 0.87/0.88 (node14(s17, s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1873, 130, 1850])).
% 0.87/0.88 tff(1875,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1876,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1877,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 0.87/0.88 tff(1878,plain,
% 0.87/0.88 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1877, 893, 1874])).
% 0.87/0.88 tff(1879,plain,
% 0.87/0.88 (m_main_v_state2(s18, c_t2)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1878, 1835, 1767])).
% 0.87/0.88 tff(1880,plain,
% 0.87/0.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1881,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1882,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 0.87/0.88 tff(1883,plain,
% 0.87/0.88 (~m_main_v_state2(s18, c_n2)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1882, 10, 1879])).
% 0.87/0.88 tff(1884,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1885,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1886,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 0.87/0.88 tff(1887,plain,
% 0.87/0.88 (~node4(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1886, 162, 1883])).
% 0.87/0.88 tff(1888,plain,
% 0.87/0.88 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1889,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1890,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 0.87/0.88 tff(1891,plain,
% 0.87/0.88 (~m_main_v_state2(s18, c_c2)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1890, 173, 1879])).
% 0.87/0.88 tff(1892,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1893,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1894,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 0.87/0.88 tff(1895,plain,
% 0.87/0.88 (~node3(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1894, 184, 1891])).
% 0.87/0.88 tff(1896,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1897,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1898,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 0.87/0.88 tff(1899,plain,
% 0.87/0.88 (~node2(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1898, 195, 1883])).
% 0.87/0.88 tff(1900,plain,
% 0.87/0.88 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1901,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1902,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 0.87/0.88 tff(1903,plain,
% 0.87/0.88 (~m_main_v_state1(s18, c_n1)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1902, 449, 1862])).
% 0.87/0.88 tff(1904,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1905,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1906,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 0.87/0.88 tff(1907,plain,
% 0.87/0.88 (~node1(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1906, 249, 1903])).
% 0.87/0.88 tff(1908,plain,
% 0.87/0.88 (succ(s18, s19) <=> succ(s18, s19)),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1909,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 0.87/0.88 tff(1910,plain,
% 0.87/0.88 (succ(s18, s19)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 0.87/0.88 tff(1911,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1912,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1913,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 0.87/0.88 tff(1914,plain,
% 0.87/0.88 (trans(s18, s19)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1913, 1910, 57])).
% 0.87/0.88 tff(1915,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1916,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1917,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1916, 1915])).
% 0.87/0.88 tff(1918,plain,
% 0.87/0.88 (node7(s18, s19)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1917, 217, 1914])).
% 0.87/0.88 tff(1919,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1920,plain,
% 0.87/0.88 (((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1)) <=> (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1921,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))))),
% 0.87/0.88 inference(monotonicity,[status(thm)],[1920])).
% 0.87/0.88 tff(1922,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 0.87/0.88 inference(transitivity,[status(thm)],[1921, 1919])).
% 0.87/0.88 tff(1923,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1924,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1923, 1922])).
% 0.87/0.88 tff(1925,plain,
% 0.87/0.88 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1924, 478, 1918])).
% 0.87/0.88 tff(1926,plain,
% 0.87/0.88 (m_main_v_state1(s19, c_n1)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1925, 1907, 1862, 1899, 1895, 1887, 1870])).
% 0.87/0.88 tff(1927,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1928,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1929,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 0.87/0.88 tff(1930,plain,
% 0.87/0.88 (~node15(s17)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1929, 21, 1839])).
% 0.87/0.88 tff(1931,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1932,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1933,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 0.87/0.88 tff(1934,plain,
% 0.87/0.88 (node18(s17, s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1933, 71, 1850])).
% 0.87/0.88 tff(1935,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1936,plain,
% 0.87/0.88 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1)) <=> (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1937,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)))),
% 0.87/0.88 inference(monotonicity,[status(thm)],[1936])).
% 0.87/0.88 tff(1938,plain,
% 0.87/0.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 0.87/0.88 inference(transitivity,[status(thm)],[1937, 1935])).
% 0.87/0.88 tff(1939,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1940,plain,
% 0.87/0.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1939, 1938])).
% 0.87/0.88 tff(1941,plain,
% 0.87/0.88 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1940, 863, 1934])).
% 0.87/0.88 tff(1942,plain,
% 0.87/0.88 (m_main_v_turn(s18, c_1)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1941, 1930, 1767, 1835])).
% 0.87/0.88 tff(1943,plain,
% 0.87/0.88 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1944,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1945,plain,
% 0.87/0.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 0.87/0.88 tff(1946,plain,
% 0.87/0.88 (~m_main_v_turn(s18, c_2)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1945, 322, 1942])).
% 0.87/0.88 tff(1947,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1948,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1949,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 0.87/0.88 tff(1950,plain,
% 0.87/0.88 (~node12(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1949, 350, 1946])).
% 0.87/0.88 tff(1951,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1952,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1953,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 0.87/0.88 tff(1954,plain,
% 0.87/0.88 (~node8(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1953, 383, 1883])).
% 0.87/0.88 tff(1955,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1956,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1957,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 0.87/0.88 tff(1958,plain,
% 0.87/0.88 (~node9(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1957, 311, 1883])).
% 0.87/0.88 tff(1959,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1960,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1961,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 0.87/0.88 tff(1962,plain,
% 0.87/0.88 (~node10(s18)),
% 0.87/0.88 inference(unit_resolution,[status(thm)],[1961, 372, 1883])).
% 0.87/0.88 tff(1963,plain,
% 0.87/0.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 0.87/0.88 inference(rewrite,[status(thm)],[])).
% 0.87/0.88 tff(1964,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 0.87/0.88 inference(quant_inst,[status(thm)],[])).
% 0.87/0.88 tff(1965,plain,
% 0.87/0.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 0.87/0.88 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 0.87/0.89 tff(1966,plain,
% 0.87/0.89 (~node11(s18)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[1965, 361, 1903])).
% 0.87/0.89 tff(1967,plain,
% 0.87/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(1968,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(1969,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 0.87/0.89 tff(1970,plain,
% 0.87/0.89 (node14(s18, s19)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[1969, 130, 1914])).
% 0.87/0.89 tff(1971,plain,
% 0.87/0.89 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(1972,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 0.87/0.89 inference(quant_inst,[status(thm)],[])).
% 0.87/0.89 tff(1973,plain,
% 0.87/0.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19))),
% 0.87/0.89 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 0.87/0.89 tff(1974,plain,
% 0.87/0.89 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[1973, 401, 1970])).
% 0.87/0.89 tff(1975,plain,
% 0.87/0.89 (node13(s18, s19)),
% 0.87/0.89 inference(unit_resolution,[status(thm)],[1974, 1966, 1891, 1962, 1958, 1954, 1950])).
% 0.87/0.89 tff(1976,plain,
% 0.87/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 0.87/0.89 inference(rewrite,[status(thm)],[])).
% 0.87/0.89 tff(1977,plain,
% 0.87/0.89 (((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2)) <=> ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(1978,plain,
% 0.91/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))))),
% 0.91/0.89 inference(monotonicity,[status(thm)],[1977])).
% 0.91/0.89 tff(1979,plain,
% 0.91/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 0.91/0.89 inference(transitivity,[status(thm)],[1978, 1976])).
% 0.91/0.89 tff(1980,plain,
% 0.91/0.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(1981,plain,
% 0.91/0.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 0.91/0.89 tff(1982,plain,
% 0.91/0.89 (m_main_v_state2(s19, c_t2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[1981, 563, 1879, 1975])).
% 0.91/0.89 tff(1983,plain,
% 0.91/0.89 (succ(s19, s20) <=> succ(s19, s20)),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(1984,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 0.91/0.89 tff(1985,plain,
% 0.91/0.89 (succ(s19, s20)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 0.91/0.89 tff(1986,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(1987,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(1988,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 0.91/0.89 tff(1989,plain,
% 0.91/0.89 (trans(s19, s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[1988, 1985, 57])).
% 0.91/0.89 tff(1990,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(1991,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(1992,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[1991, 1990])).
% 0.91/0.89 tff(1993,plain,
% 0.91/0.89 (node7(s19, s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[1992, 217, 1989])).
% 0.91/0.89 tff(1994,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(1995,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(1996,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[1995, 1994])).
% 0.91/0.89 tff(1997,plain,
% 0.91/0.89 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[1996, 598, 1993])).
% 0.91/0.89 tff(1998,plain,
% 0.91/0.89 (m_main_v_state1(s20, c_t1)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[1997, 1982, 1926])).
% 0.91/0.89 tff(1999,plain,
% 0.91/0.89 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2000,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2001,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 0.91/0.89 tff(2002,plain,
% 0.91/0.89 (~m_main_v_state1(s20, c_n1)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2001, 35, 1998])).
% 0.91/0.89 tff(2003,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2004,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2005,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 0.91/0.89 tff(2006,plain,
% 0.91/0.89 (~node1(s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2005, 249, 2002])).
% 0.91/0.89 tff(2007,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2008,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2009,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 0.91/0.89 tff(2010,plain,
% 0.91/0.89 (node18(s19, s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2009, 71, 1989])).
% 0.91/0.89 tff(2011,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2012,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2013,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 0.91/0.89 tff(2014,plain,
% 0.91/0.89 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2013, 625, 2010])).
% 0.91/0.89 tff(2015,plain,
% 0.91/0.89 (m_main_v_turn(s20, c_2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2014, 1982, 1926])).
% 0.91/0.89 tff(2016,plain,
% 0.91/0.89 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2017,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2018,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 0.91/0.89 tff(2019,plain,
% 0.91/0.89 (~m_main_v_turn(s20, c_1)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2018, 322, 2015])).
% 0.91/0.89 tff(2020,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2021,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2022,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2021, 2020])).
% 0.91/0.89 tff(2023,plain,
% 0.91/0.89 (~node5(s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2022, 641, 2019])).
% 0.91/0.89 tff(2024,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2025,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2026,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 0.91/0.89 tff(2027,plain,
% 0.91/0.89 (~node2(s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2026, 652, 2002])).
% 0.91/0.89 tff(2028,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2029,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2030,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 0.91/0.89 tff(2031,plain,
% 0.91/0.89 (~node3(s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2030, 663, 2002])).
% 0.91/0.89 tff(2032,plain,
% 0.91/0.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2033,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2034,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 0.91/0.89 tff(2035,plain,
% 0.91/0.89 (~m_main_v_state1(s20, c_c1)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2034, 289, 1998])).
% 0.91/0.89 tff(2036,plain,
% 0.91/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2037,plain,
% 0.91/0.89 (((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2))) <=> (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2038,plain,
% 0.91/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))))),
% 0.91/0.89 inference(monotonicity,[status(thm)],[2037])).
% 0.91/0.89 tff(2039,plain,
% 0.91/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 0.91/0.89 inference(transitivity,[status(thm)],[2038, 2036])).
% 0.91/0.89 tff(2040,plain,
% 0.91/0.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2041,plain,
% 0.91/0.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 0.91/0.89 tff(2042,plain,
% 0.91/0.89 (~m_main_v_state2(s19, c_n2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2041, 416, 1883, 1975])).
% 0.91/0.89 tff(2043,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2044,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2045,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 0.91/0.89 tff(2046,plain,
% 0.91/0.89 (~node9(s19)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2045, 311, 2042])).
% 0.91/0.89 tff(2047,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2048,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2049,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 0.91/0.89 tff(2050,plain,
% 0.91/0.89 (~node10(s19)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2049, 372, 2042])).
% 0.91/0.89 tff(2051,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2052,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2053,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 0.91/0.89 tff(2054,plain,
% 0.91/0.89 (~node8(s19)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2053, 383, 2042])).
% 0.91/0.89 tff(2055,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2056,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2057,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 0.91/0.89 tff(2058,plain,
% 0.91/0.89 (node14(s19, s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2057, 130, 1989])).
% 0.91/0.89 tff(2059,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2060,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2061,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 0.91/0.89 tff(2062,plain,
% 0.91/0.89 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | m_main_v_state2(s20, c_c2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2061, 704, 2058])).
% 0.91/0.89 tff(2063,plain,
% 0.91/0.89 (m_main_v_state2(s20, c_c2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2062, 2054, 1926, 1982, 2050, 2046])).
% 0.91/0.89 tff(2064,plain,
% 0.91/0.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2065,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2066,plain,
% 0.91/0.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 0.91/0.89 tff(2067,plain,
% 0.91/0.89 (~m_main_v_state2(s20, c_n2)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2066, 716, 2063])).
% 0.91/0.89 tff(2068,plain,
% 0.91/0.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2069,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2070,plain,
% 0.91/0.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 0.91/0.89 tff(2071,plain,
% 0.91/0.89 (~node4(s20)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2070, 162, 2067])).
% 0.91/0.89 tff(2072,plain,
% 0.91/0.89 (succ(s20, s21) <=> succ(s20, s21)),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2073,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 0.91/0.89 tff(2074,plain,
% 0.91/0.89 (succ(s20, s21)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2073, 2072])).
% 0.91/0.89 tff(2075,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2076,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2077,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2076, 2075])).
% 0.91/0.89 tff(2078,plain,
% 0.91/0.89 (trans(s20, s21)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2077, 2074, 57])).
% 0.91/0.89 tff(2079,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2080,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2081,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 0.91/0.89 tff(2082,plain,
% 0.91/0.89 (node7(s20, s21)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2081, 217, 2078])).
% 0.91/0.89 tff(2083,plain,
% 0.91/0.89 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 0.91/0.89 inference(rewrite,[status(thm)],[])).
% 0.91/0.89 tff(2084,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 0.91/0.89 inference(quant_inst,[status(thm)],[])).
% 0.91/0.89 tff(2085,plain,
% 0.91/0.89 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 0.91/0.89 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 0.91/0.89 tff(2086,plain,
% 0.91/0.89 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2085, 745, 2082])).
% 0.91/0.89 tff(2087,plain,
% 0.91/0.89 (node6(s20, s21)),
% 0.91/0.89 inference(unit_resolution,[status(thm)],[2086, 2071, 2035, 2031, 2027, 2023, 2006])).
% 0.91/0.89 tff(2088,plain,
% 0.91/0.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2089,plain,
% 0.91/0.90 (((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1)) <=> ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2090,plain,
% 0.91/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))))),
% 0.91/0.90 inference(monotonicity,[status(thm)],[2089])).
% 0.91/0.90 tff(2091,plain,
% 0.91/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 0.91/0.90 inference(transitivity,[status(thm)],[2090, 2088])).
% 0.91/0.90 tff(2092,plain,
% 0.91/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2093,plain,
% 0.91/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 0.91/0.90 tff(2094,plain,
% 0.91/0.90 (m_main_v_state1(s21, c_t1)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2093, 760, 1998, 2087])).
% 0.91/0.90 tff(2095,plain,
% 0.91/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2096,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2097,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 0.91/0.90 tff(2098,plain,
% 0.91/0.90 (~m_main_v_state2(s20, c_t2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2097, 173, 2063])).
% 0.91/0.90 tff(2099,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2100,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2101,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 0.91/0.90 tff(2102,plain,
% 0.91/0.90 (~node12(s20)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2101, 778, 2098])).
% 0.91/0.90 tff(2103,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2104,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2105,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 0.91/0.90 tff(2106,plain,
% 0.91/0.90 (~node11(s20)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2105, 361, 2002])).
% 0.91/0.90 tff(2107,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2108,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2109,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 0.91/0.90 tff(2110,plain,
% 0.91/0.90 (~node10(s20)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2109, 793, 2035])).
% 0.91/0.90 tff(2111,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2112,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2113,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 0.91/0.90 tff(2114,plain,
% 0.91/0.90 (~node9(s20)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2113, 804, 2002])).
% 0.91/0.90 tff(2115,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2116,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2117,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 0.91/0.90 tff(2118,plain,
% 0.91/0.90 (~node8(s20)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2117, 383, 2067])).
% 0.91/0.90 tff(2119,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2120,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2121,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 0.91/0.90 tff(2122,plain,
% 0.91/0.90 (node14(s20, s21)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2121, 130, 2078])).
% 0.91/0.90 tff(2123,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2124,plain,
% 0.91/0.90 (((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2)) <=> (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2125,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))))),
% 0.91/0.90 inference(monotonicity,[status(thm)],[2124])).
% 0.91/0.90 tff(2126,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 0.91/0.90 inference(transitivity,[status(thm)],[2125, 2123])).
% 0.91/0.90 tff(2127,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2128,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 0.91/0.90 tff(2129,plain,
% 0.91/0.90 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2128, 826, 2122])).
% 0.91/0.90 tff(2130,plain,
% 0.91/0.90 (m_main_v_state2(s21, c_n2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2129, 2118, 2063, 2114, 2110, 2106, 2102])).
% 0.91/0.90 tff(2131,plain,
% 0.91/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2132,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2133,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 0.91/0.90 tff(2134,plain,
% 0.91/0.90 (~m_main_v_state2(s21, c_t2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2133, 10, 2130])).
% 0.91/0.90 tff(2135,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2136,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2137,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 0.91/0.90 tff(2138,plain,
% 0.91/0.90 (~node15(s21)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2137, 21, 2134])).
% 0.91/0.90 tff(2139,plain,
% 0.91/0.90 (succ(s21, s22) <=> succ(s21, s22)),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2140,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 0.91/0.90 tff(2141,plain,
% 0.91/0.90 (succ(s21, s22)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 0.91/0.90 tff(2142,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2143,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2144,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2143, 2142])).
% 0.91/0.90 tff(2145,plain,
% 0.91/0.90 (trans(s21, s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2144, 2141, 57])).
% 0.91/0.90 tff(2146,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2147,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2148,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 0.91/0.90 tff(2149,plain,
% 0.91/0.90 (node18(s21, s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2148, 71, 2145])).
% 0.91/0.90 tff(2150,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2151,plain,
% 0.91/0.90 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1)) <=> (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2152,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)))),
% 0.91/0.90 inference(monotonicity,[status(thm)],[2151])).
% 0.91/0.90 tff(2153,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 0.91/0.90 inference(transitivity,[status(thm)],[2152, 2150])).
% 0.91/0.90 tff(2154,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2155,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 0.91/0.90 tff(2156,plain,
% 0.91/0.90 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2155, 863, 2149])).
% 0.91/0.90 tff(2157,plain,
% 0.91/0.90 (m_main_v_turn(s22, c_1)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2156, 2138, 2130, 2094])).
% 0.91/0.90 tff(2158,plain,
% 0.91/0.90 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2159,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2160,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 0.91/0.90 tff(2161,plain,
% 0.91/0.90 (~m_main_v_turn(s22, c_2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2160, 322, 2157])).
% 0.91/0.90 tff(2162,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2163,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2164,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2163, 2162])).
% 0.91/0.90 tff(2165,plain,
% 0.91/0.90 (~node12(s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2164, 350, 2161])).
% 0.91/0.90 tff(2166,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2167,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2168,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 0.91/0.90 tff(2169,plain,
% 0.91/0.90 (node14(s21, s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2168, 130, 2145])).
% 0.91/0.90 tff(2170,plain,
% 0.91/0.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2171,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2172,plain,
% 0.91/0.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2)),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2171, 2170])).
% 0.91/0.90 tff(2173,plain,
% 0.91/0.90 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2172, 893, 2169])).
% 0.91/0.90 tff(2174,plain,
% 0.91/0.90 (m_main_v_state2(s22, c_t2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2173, 2094, 2130])).
% 0.91/0.90 tff(2175,plain,
% 0.91/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2176,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2177,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 0.91/0.90 tff(2178,plain,
% 0.91/0.90 (~m_main_v_state2(s22, c_n2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2177, 10, 2174])).
% 0.91/0.90 tff(2179,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2180,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2181,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 0.91/0.90 tff(2182,plain,
% 0.91/0.90 (~node8(s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2181, 383, 2178])).
% 0.91/0.90 tff(2183,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2184,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2185,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 0.91/0.90 tff(2186,plain,
% 0.91/0.90 (~node9(s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2185, 311, 2178])).
% 0.91/0.90 tff(2187,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2188,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2189,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 0.91/0.90 tff(2190,plain,
% 0.91/0.90 (~node10(s22)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2189, 372, 2178])).
% 0.91/0.90 tff(2191,plain,
% 0.91/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2192,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2193,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 0.91/0.90 tff(2194,plain,
% 0.91/0.90 (~m_main_v_state2(s22, c_c2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2193, 173, 2174])).
% 0.91/0.90 tff(2195,plain,
% 0.91/0.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2196,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2197,plain,
% 0.91/0.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 0.91/0.90 tff(2198,plain,
% 0.91/0.90 (~m_main_v_state2(s21, c_c2)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2197, 716, 2130])).
% 0.91/0.90 tff(2199,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2200,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2201,plain,
% 0.91/0.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 0.91/0.90 tff(2202,plain,
% 0.91/0.90 (~node3(s21)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2201, 184, 2198])).
% 0.91/0.90 tff(2203,plain,
% 0.91/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2204,plain,
% 0.91/0.90 (((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1))) <=> (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 0.91/0.90 inference(rewrite,[status(thm)],[])).
% 0.91/0.90 tff(2205,plain,
% 0.91/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))))),
% 0.91/0.90 inference(monotonicity,[status(thm)],[2204])).
% 0.91/0.90 tff(2206,plain,
% 0.91/0.90 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 0.91/0.90 inference(transitivity,[status(thm)],[2205, 2203])).
% 0.91/0.90 tff(2207,plain,
% 0.91/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))),
% 0.91/0.90 inference(quant_inst,[status(thm)],[])).
% 0.91/0.90 tff(2208,plain,
% 0.91/0.90 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))),
% 0.91/0.90 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 0.91/0.90 tff(2209,plain,
% 0.91/0.90 (~m_main_v_state1(s21, c_n1)),
% 0.91/0.90 inference(unit_resolution,[status(thm)],[2208, 936, 2002, 2087])).
% 0.91/0.90 tff(2210,plain,
% 0.91/0.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2211,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2212,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 0.91/0.91 tff(2213,plain,
% 0.91/0.91 (~node2(s21)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2212, 652, 2209])).
% 0.91/0.91 tff(2214,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2215,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2216,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 0.91/0.91 tff(2217,plain,
% 0.91/0.91 (~node1(s21)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2216, 206, 2134])).
% 0.91/0.91 tff(2218,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2219,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2220,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 0.91/0.91 tff(2221,plain,
% 0.91/0.91 (node7(s21, s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2220, 217, 2145])).
% 0.91/0.91 tff(2222,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2223,plain,
% 0.91/0.91 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1)) <=> ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2224,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))))),
% 0.91/0.91 inference(monotonicity,[status(thm)],[2223])).
% 0.91/0.91 tff(2225,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 0.91/0.91 inference(transitivity,[status(thm)],[2224, 2222])).
% 0.91/0.91 tff(2226,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2227,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 0.91/0.91 tff(2228,plain,
% 0.91/0.91 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2227, 965, 2221])).
% 0.91/0.91 tff(2229,plain,
% 0.91/0.91 (m_main_v_state1(s22, c_c1)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2228, 2217, 2130, 2094, 2213, 2202])).
% 0.91/0.91 tff(2230,plain,
% 0.91/0.91 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2231,plain,
% 0.91/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2232,plain,
% 0.91/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 0.91/0.91 tff(2233,plain,
% 0.91/0.91 (~m_main_v_state1(s22, c_n1)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2232, 449, 2229])).
% 0.91/0.91 tff(2234,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2235,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2236,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 0.91/0.91 tff(2237,plain,
% 0.91/0.91 (~node11(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2236, 361, 2233])).
% 0.91/0.91 tff(2238,plain,
% 0.91/0.91 (succ(s22, s23) <=> succ(s22, s23)),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2239,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 0.91/0.91 tff(2240,plain,
% 0.91/0.91 (succ(s22, s23)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2239, 2238])).
% 0.91/0.91 tff(2241,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2242,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2243,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 0.91/0.91 tff(2244,plain,
% 0.91/0.91 (trans(s22, s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2243, 2240, 57])).
% 0.91/0.91 tff(2245,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2246,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2247,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 0.91/0.91 tff(2248,plain,
% 0.91/0.91 (node14(s22, s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2247, 130, 2244])).
% 0.91/0.91 tff(2249,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2250,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2251,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 0.91/0.91 tff(2252,plain,
% 0.91/0.91 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2251, 401, 2248])).
% 0.91/0.91 tff(2253,plain,
% 0.91/0.91 (node13(s22, s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2252, 2237, 2194, 2190, 2186, 2182, 2165])).
% 0.91/0.91 tff(2254,plain,
% 0.91/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2255,plain,
% 0.91/0.91 (((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2))) <=> (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2256,plain,
% 0.91/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))))),
% 0.91/0.91 inference(monotonicity,[status(thm)],[2255])).
% 0.91/0.91 tff(2257,plain,
% 0.91/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 0.91/0.91 inference(transitivity,[status(thm)],[2256, 2254])).
% 0.91/0.91 tff(2258,plain,
% 0.91/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2259,plain,
% 0.91/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 0.91/0.91 tff(2260,plain,
% 0.91/0.91 (~m_main_v_state2(s23, c_n2)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2259, 416, 2178, 2253])).
% 0.91/0.91 tff(2261,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2262,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2263,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 0.91/0.91 tff(2264,plain,
% 0.91/0.91 (~node9(s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2263, 311, 2260])).
% 0.91/0.91 tff(2265,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2266,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2267,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 0.91/0.91 tff(2268,plain,
% 0.91/0.91 (~node10(s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2267, 372, 2260])).
% 0.91/0.91 tff(2269,plain,
% 0.91/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2270,plain,
% 0.91/0.91 (((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2)) <=> ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2271,plain,
% 0.91/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))))),
% 0.91/0.91 inference(monotonicity,[status(thm)],[2270])).
% 0.91/0.91 tff(2272,plain,
% 0.91/0.91 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 0.91/0.91 inference(transitivity,[status(thm)],[2271, 2269])).
% 0.91/0.91 tff(2273,plain,
% 0.91/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2274,plain,
% 0.91/0.91 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2273, 2272])).
% 0.91/0.91 tff(2275,plain,
% 0.91/0.91 (m_main_v_state2(s23, c_t2)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2274, 563, 2174, 2253])).
% 0.91/0.91 tff(2276,plain,
% 0.91/0.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2277,plain,
% 0.91/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2278,plain,
% 0.91/0.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 0.91/0.91 tff(2279,plain,
% 0.91/0.91 (~m_main_v_state1(s22, c_t1)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2278, 289, 2229])).
% 0.91/0.91 tff(2280,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2281,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2282,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2281, 2280])).
% 0.91/0.91 tff(2283,plain,
% 0.91/0.91 (~node5(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2282, 300, 2279])).
% 0.91/0.91 tff(2284,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2285,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2286,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 0.91/0.91 tff(2287,plain,
% 0.91/0.91 (~node4(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2286, 162, 2178])).
% 0.91/0.91 tff(2288,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2289,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2290,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 0.91/0.91 tff(2291,plain,
% 0.91/0.91 (~node3(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2290, 184, 2194])).
% 0.91/0.91 tff(2292,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2293,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2294,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 0.91/0.91 tff(2295,plain,
% 0.91/0.91 (~node2(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2294, 195, 2178])).
% 0.91/0.91 tff(2296,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2297,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2298,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 0.91/0.91 tff(2299,plain,
% 0.91/0.91 (~node1(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2298, 249, 2233])).
% 0.91/0.91 tff(2300,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2301,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2302,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 0.91/0.91 tff(2303,plain,
% 0.91/0.91 (node7(s22, s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2302, 217, 2244])).
% 0.91/0.91 tff(2304,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2305,plain,
% 0.91/0.91 (((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1)) <=> (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2306,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))))),
% 0.91/0.91 inference(monotonicity,[status(thm)],[2305])).
% 0.91/0.91 tff(2307,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 0.91/0.91 inference(transitivity,[status(thm)],[2306, 2304])).
% 0.91/0.91 tff(2308,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2309,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 0.91/0.91 tff(2310,plain,
% 0.91/0.91 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2309, 478, 2303])).
% 0.91/0.91 tff(2311,plain,
% 0.91/0.91 (m_main_v_state1(s23, c_n1)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2310, 2299, 2229, 2295, 2291, 2287, 2283])).
% 0.91/0.91 tff(2312,plain,
% 0.91/0.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2313,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2314,plain,
% 0.91/0.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2313, 2312])).
% 0.91/0.91 tff(2315,plain,
% 0.91/0.91 (~node8(s23)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2314, 383, 2260])).
% 0.91/0.91 tff(2316,plain,
% 0.91/0.91 (succ(s23, s24) <=> succ(s23, s24)),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2317,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 0.91/0.91 tff(2318,plain,
% 0.91/0.91 (succ(s23, s24)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 0.91/0.91 tff(2319,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2320,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2321,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2320, 2319])).
% 0.91/0.91 tff(2322,plain,
% 0.91/0.91 (trans(s23, s24)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2321, 2318, 57])).
% 0.91/0.91 tff(2323,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2324,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 0.91/0.91 inference(quant_inst,[status(thm)],[])).
% 0.91/0.91 tff(2325,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 0.91/0.91 inference(modus_ponens,[status(thm)],[2324, 2323])).
% 0.91/0.91 tff(2326,plain,
% 0.91/0.91 (node14(s23, s24)),
% 0.91/0.91 inference(unit_resolution,[status(thm)],[2325, 130, 2322])).
% 0.91/0.91 tff(2327,plain,
% 0.91/0.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 0.91/0.91 inference(rewrite,[status(thm)],[])).
% 0.91/0.91 tff(2328,plain,
% 0.91/0.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2329,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 0.91/0.92 tff(2330,plain,
% 0.91/0.92 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | m_main_v_state2(s24, c_c2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2329, 704, 2326])).
% 0.91/0.92 tff(2331,plain,
% 0.91/0.92 (m_main_v_state2(s24, c_c2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2330, 2315, 2311, 2275, 2268, 2264])).
% 0.91/0.92 tff(2332,plain,
% 0.91/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2333,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2334,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2333, 2332])).
% 0.91/0.92 tff(2335,plain,
% 0.91/0.92 (~m_main_v_state2(s24, c_t2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2334, 173, 2331])).
% 0.91/0.92 tff(2336,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2337,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2338,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2337, 2336])).
% 0.91/0.92 tff(2339,plain,
% 0.91/0.92 (~node12(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2338, 778, 2335])).
% 0.91/0.92 tff(2340,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2341,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2342,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2341, 2340])).
% 0.91/0.92 tff(2343,plain,
% 0.91/0.92 (node7(s23, s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2342, 217, 2322])).
% 0.91/0.92 tff(2344,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2345,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2346,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 0.91/0.92 tff(2347,plain,
% 0.91/0.92 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2346, 598, 2343])).
% 0.91/0.92 tff(2348,plain,
% 0.91/0.92 (m_main_v_state1(s24, c_t1)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2347, 2275, 2311])).
% 0.91/0.92 tff(2349,plain,
% 0.91/0.92 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2350,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2351,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2350, 2349])).
% 0.91/0.92 tff(2352,plain,
% 0.91/0.92 (~m_main_v_state1(s24, c_n1)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2351, 35, 2348])).
% 0.91/0.92 tff(2353,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2354,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2355,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 0.91/0.92 tff(2356,plain,
% 0.91/0.92 (~node11(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2355, 361, 2352])).
% 0.91/0.92 tff(2357,plain,
% 0.91/0.92 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2358,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2359,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 0.91/0.92 tff(2360,plain,
% 0.91/0.92 (~m_main_v_state1(s24, c_c1)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2359, 289, 2348])).
% 0.91/0.92 tff(2361,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2362,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2363,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 0.91/0.92 tff(2364,plain,
% 0.91/0.92 (~node10(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2363, 793, 2360])).
% 0.91/0.92 tff(2365,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2366,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2367,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 0.91/0.92 tff(2368,plain,
% 0.91/0.92 (~node9(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2367, 804, 2352])).
% 0.91/0.92 tff(2369,plain,
% 0.91/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2370,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2371,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 0.91/0.92 tff(2372,plain,
% 0.91/0.92 (~m_main_v_state2(s24, c_n2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2371, 716, 2331])).
% 0.91/0.92 tff(2373,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2374,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2375,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 0.91/0.92 tff(2376,plain,
% 0.91/0.92 (~node8(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2375, 383, 2372])).
% 0.91/0.92 tff(2377,plain,
% 0.91/0.92 (succ(s24, s25) <=> succ(s24, s25)),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2378,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 0.91/0.92 tff(2379,plain,
% 0.91/0.92 (succ(s24, s25)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 0.91/0.92 tff(2380,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2381,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2382,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 0.91/0.92 tff(2383,plain,
% 0.91/0.92 (trans(s24, s25)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2382, 2379, 57])).
% 0.91/0.92 tff(2384,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2385,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2386,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 0.91/0.92 tff(2387,plain,
% 0.91/0.92 (node14(s24, s25)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2386, 130, 2383])).
% 0.91/0.92 tff(2388,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2389,plain,
% 0.91/0.92 (((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2)) <=> (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2390,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))))),
% 0.91/0.92 inference(monotonicity,[status(thm)],[2389])).
% 0.91/0.92 tff(2391,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 0.91/0.92 inference(transitivity,[status(thm)],[2390, 2388])).
% 0.91/0.92 tff(2392,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2393,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2392, 2391])).
% 0.91/0.92 tff(2394,plain,
% 0.91/0.92 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2393, 826, 2387])).
% 0.91/0.92 tff(2395,plain,
% 0.91/0.92 (m_main_v_state2(s25, c_n2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2394, 2376, 2331, 2368, 2364, 2356, 2339])).
% 0.91/0.92 tff(2396,plain,
% 0.91/0.92 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2397,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2398,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 0.91/0.92 tff(2399,plain,
% 0.91/0.92 (~m_main_v_state2(s25, c_c2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2398, 716, 2395])).
% 0.91/0.92 tff(2400,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2401,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2402,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2401, 2400])).
% 0.91/0.92 tff(2403,plain,
% 0.91/0.92 (~node3(s25)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2402, 184, 2399])).
% 0.91/0.92 tff(2404,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2405,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2406,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 0.91/0.92 tff(2407,plain,
% 0.91/0.92 (~node1(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2406, 249, 2352])).
% 0.91/0.92 tff(2408,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2409,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2410,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 0.91/0.92 tff(2411,plain,
% 0.91/0.92 (node18(s23, s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2410, 71, 2322])).
% 0.91/0.92 tff(2412,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2413,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2414,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 0.91/0.92 tff(2415,plain,
% 0.91/0.92 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2414, 625, 2411])).
% 0.91/0.92 tff(2416,plain,
% 0.91/0.92 (m_main_v_turn(s24, c_2)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2415, 2275, 2311])).
% 0.91/0.92 tff(2417,plain,
% 0.91/0.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2418,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2419,plain,
% 0.91/0.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 0.91/0.92 tff(2420,plain,
% 0.91/0.92 (~m_main_v_turn(s24, c_1)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2419, 322, 2416])).
% 0.91/0.92 tff(2421,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2422,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2423,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 0.91/0.92 tff(2424,plain,
% 0.91/0.92 (~node5(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2423, 641, 2420])).
% 0.91/0.92 tff(2425,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2426,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2427,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 0.91/0.92 tff(2428,plain,
% 0.91/0.92 (~node2(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2427, 652, 2352])).
% 0.91/0.92 tff(2429,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2430,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2431,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 0.91/0.92 tff(2432,plain,
% 0.91/0.92 (~node3(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2431, 663, 2352])).
% 0.91/0.92 tff(2433,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2434,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2435,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 0.91/0.92 tff(2436,plain,
% 0.91/0.92 (~node4(s24)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2435, 162, 2372])).
% 0.91/0.92 tff(2437,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2438,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2439,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 0.91/0.92 tff(2440,plain,
% 0.91/0.92 (node7(s24, s25)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2439, 217, 2383])).
% 0.91/0.92 tff(2441,plain,
% 0.91/0.92 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2442,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2443,plain,
% 0.91/0.92 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 0.91/0.92 tff(2444,plain,
% 0.91/0.92 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2443, 745, 2440])).
% 0.91/0.92 tff(2445,plain,
% 0.91/0.92 (node6(s24, s25)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2444, 2436, 2360, 2432, 2428, 2424, 2407])).
% 0.91/0.92 tff(2446,plain,
% 0.91/0.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2447,plain,
% 0.91/0.92 (((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1))) <=> (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2448,plain,
% 0.91/0.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))))),
% 0.91/0.92 inference(monotonicity,[status(thm)],[2447])).
% 0.91/0.92 tff(2449,plain,
% 0.91/0.92 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 0.91/0.92 inference(transitivity,[status(thm)],[2448, 2446])).
% 0.91/0.92 tff(2450,plain,
% 0.91/0.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2451,plain,
% 0.91/0.92 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 0.91/0.92 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 0.91/0.92 tff(2452,plain,
% 0.91/0.92 (~m_main_v_state1(s25, c_n1)),
% 0.91/0.92 inference(unit_resolution,[status(thm)],[2451, 936, 2352, 2445])).
% 0.91/0.92 tff(2453,plain,
% 0.91/0.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 0.91/0.92 inference(rewrite,[status(thm)],[])).
% 0.91/0.92 tff(2454,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 0.91/0.92 inference(quant_inst,[status(thm)],[])).
% 0.91/0.92 tff(2455,plain,
% 0.91/0.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 0.91/0.93 tff(2456,plain,
% 0.91/0.93 (~node2(s25)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2455, 652, 2452])).
% 0.91/0.93 tff(2457,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2458,plain,
% 0.91/0.93 (((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1)) <=> ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2459,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))))),
% 0.91/0.93 inference(monotonicity,[status(thm)],[2458])).
% 0.91/0.93 tff(2460,plain,
% 0.91/0.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 0.91/0.93 inference(transitivity,[status(thm)],[2459, 2457])).
% 0.91/0.93 tff(2461,plain,
% 0.91/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2462,plain,
% 0.91/0.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 0.91/0.93 tff(2463,plain,
% 0.91/0.93 (m_main_v_state1(s25, c_t1)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2462, 760, 2348, 2445])).
% 0.91/0.93 tff(2464,plain,
% 0.91/0.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2465,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2466,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 0.91/0.93 tff(2467,plain,
% 0.91/0.93 (~m_main_v_state2(s25, c_t2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2466, 10, 2395])).
% 0.91/0.93 tff(2468,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2469,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2470,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2469, 2468])).
% 0.91/0.93 tff(2471,plain,
% 0.91/0.93 (~node1(s25)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2470, 206, 2467])).
% 0.91/0.93 tff(2472,plain,
% 0.91/0.93 (succ(s25, s26) <=> succ(s25, s26)),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2473,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 0.91/0.93 tff(2474,plain,
% 0.91/0.93 (succ(s25, s26)),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 0.91/0.93 tff(2475,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2476,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2477,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 0.91/0.93 tff(2478,plain,
% 0.91/0.93 (trans(s25, s26)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2477, 2474, 57])).
% 0.91/0.93 tff(2479,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2480,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2481,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 0.91/0.93 tff(2482,plain,
% 0.91/0.93 (node7(s25, s26)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2481, 217, 2478])).
% 0.91/0.93 tff(2483,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2484,plain,
% 0.91/0.93 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1)) <=> ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2485,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))))),
% 0.91/0.93 inference(monotonicity,[status(thm)],[2484])).
% 0.91/0.93 tff(2486,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 0.91/0.93 inference(transitivity,[status(thm)],[2485, 2483])).
% 0.91/0.93 tff(2487,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2488,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2487, 2486])).
% 0.91/0.93 tff(2489,plain,
% 0.91/0.93 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2488, 965, 2482])).
% 0.91/0.93 tff(2490,plain,
% 0.91/0.93 (m_main_v_state1(s26, c_c1)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2489, 2471, 2395, 2463, 2456, 2403])).
% 0.91/0.93 tff(2491,plain,
% 0.91/0.93 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2492,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2493,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 0.91/0.93 tff(2494,plain,
% 0.91/0.93 (~m_main_v_state1(s26, c_t1)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2493, 289, 2490])).
% 0.91/0.93 tff(2495,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2496,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2497,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2496, 2495])).
% 0.91/0.93 tff(2498,plain,
% 0.91/0.93 (~node5(s26)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2497, 300, 2494])).
% 0.91/0.93 tff(2499,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2500,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2501,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 0.91/0.93 tff(2502,plain,
% 0.91/0.93 (node14(s25, s26)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2501, 130, 2478])).
% 0.91/0.93 tff(2503,plain,
% 0.91/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2504,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2505,plain,
% 0.91/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2)),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2504, 2503])).
% 0.91/0.93 tff(2506,plain,
% 0.91/0.93 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2505, 893, 2502])).
% 0.91/0.93 tff(2507,plain,
% 0.91/0.93 (m_main_v_state2(s26, c_t2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2506, 2463, 2395])).
% 0.91/0.93 tff(2508,plain,
% 0.91/0.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2509,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2510,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2509, 2508])).
% 0.91/0.93 tff(2511,plain,
% 0.91/0.93 (~m_main_v_state2(s26, c_n2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2510, 10, 2507])).
% 0.91/0.93 tff(2512,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2513,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2514,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2513, 2512])).
% 0.91/0.93 tff(2515,plain,
% 0.91/0.93 (~node4(s26)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2514, 162, 2511])).
% 0.91/0.93 tff(2516,plain,
% 0.91/0.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2517,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2518,plain,
% 0.91/0.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2517, 2516])).
% 0.91/0.93 tff(2519,plain,
% 0.91/0.93 (~m_main_v_state2(s26, c_c2)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2518, 173, 2507])).
% 0.91/0.93 tff(2520,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 0.91/0.93 inference(rewrite,[status(thm)],[])).
% 0.91/0.93 tff(2521,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 0.91/0.93 inference(quant_inst,[status(thm)],[])).
% 0.91/0.93 tff(2522,plain,
% 0.91/0.93 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 0.91/0.93 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 0.91/0.93 tff(2523,plain,
% 0.91/0.93 (~node3(s26)),
% 0.91/0.93 inference(unit_resolution,[status(thm)],[2522, 184, 2519])).
% 0.91/0.93 tff(2524,plain,
% 0.91/0.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2525,plain,
% 0.95/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2526,plain,
% 0.95/0.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 0.95/0.93 tff(2527,plain,
% 0.95/0.93 (~node2(s26)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2526, 195, 2511])).
% 0.95/0.93 tff(2528,plain,
% 0.95/0.93 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2529,plain,
% 0.95/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2530,plain,
% 0.95/0.93 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1))),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 0.95/0.93 tff(2531,plain,
% 0.95/0.93 (~m_main_v_state1(s26, c_n1)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2530, 449, 2490])).
% 0.95/0.93 tff(2532,plain,
% 0.95/0.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2533,plain,
% 0.95/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2534,plain,
% 0.95/0.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 0.95/0.93 tff(2535,plain,
% 0.95/0.93 (~node1(s26)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2534, 249, 2531])).
% 0.95/0.93 tff(2536,plain,
% 0.95/0.93 (succ(s26, s27) <=> succ(s26, s27)),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2537,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 0.95/0.93 tff(2538,plain,
% 0.95/0.93 (succ(s26, s27)),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 0.95/0.93 tff(2539,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2540,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2541,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 0.95/0.93 tff(2542,plain,
% 0.95/0.93 (trans(s26, s27)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2541, 2538, 57])).
% 0.95/0.93 tff(2543,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2544,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2545,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2544, 2543])).
% 0.95/0.93 tff(2546,plain,
% 0.95/0.93 (node7(s26, s27)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2545, 217, 2542])).
% 0.95/0.93 tff(2547,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2548,plain,
% 0.95/0.93 (((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1)) <=> (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2549,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))))),
% 0.95/0.93 inference(monotonicity,[status(thm)],[2548])).
% 0.95/0.93 tff(2550,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 0.95/0.93 inference(transitivity,[status(thm)],[2549, 2547])).
% 0.95/0.93 tff(2551,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2552,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2551, 2550])).
% 0.95/0.93 tff(2553,plain,
% 0.95/0.93 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2552, 478, 2546])).
% 0.95/0.93 tff(2554,plain,
% 0.95/0.93 (m_main_v_state1(s27, c_n1)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2553, 2535, 2490, 2527, 2523, 2515, 2498])).
% 0.95/0.93 tff(2555,plain,
% 0.95/0.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2556,plain,
% 0.95/0.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2557,plain,
% 0.95/0.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 0.95/0.93 tff(2558,plain,
% 0.95/0.93 (~node15(s25)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2557, 21, 2467])).
% 0.95/0.93 tff(2559,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26))),
% 0.95/0.93 inference(rewrite,[status(thm)],[])).
% 0.95/0.93 tff(2560,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 0.95/0.93 inference(quant_inst,[status(thm)],[])).
% 0.95/0.93 tff(2561,plain,
% 0.95/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 0.95/0.93 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 0.95/0.93 tff(2562,plain,
% 0.95/0.93 (node18(s25, s26)),
% 0.95/0.93 inference(unit_resolution,[status(thm)],[2561, 71, 2478])).
% 0.95/0.93 tff(2563,plain,
% 0.95/0.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2564,plain,
% 0.95/0.94 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1)) <=> (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2565,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)))),
% 0.95/0.94 inference(monotonicity,[status(thm)],[2564])).
% 0.95/0.94 tff(2566,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 0.95/0.94 inference(transitivity,[status(thm)],[2565, 2563])).
% 0.95/0.94 tff(2567,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2568,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 0.95/0.94 tff(2569,plain,
% 0.95/0.94 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2568, 863, 2562])).
% 0.95/0.94 tff(2570,plain,
% 0.95/0.94 (m_main_v_turn(s26, c_1)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2569, 2558, 2395, 2463])).
% 0.95/0.94 tff(2571,plain,
% 0.95/0.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2572,plain,
% 0.95/0.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2573,plain,
% 0.95/0.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 0.95/0.94 tff(2574,plain,
% 0.95/0.94 (~m_main_v_turn(s26, c_2)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2573, 322, 2570])).
% 0.95/0.94 tff(2575,plain,
% 0.95/0.94 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2576,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2577,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 0.95/0.94 tff(2578,plain,
% 0.95/0.94 (~node12(s26)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2577, 350, 2574])).
% 0.95/0.94 tff(2579,plain,
% 0.95/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2580,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2581,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 0.95/0.94 tff(2582,plain,
% 0.95/0.94 (~node8(s26)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2581, 383, 2511])).
% 0.95/0.94 tff(2583,plain,
% 0.95/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2584,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2585,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2584, 2583])).
% 0.95/0.94 tff(2586,plain,
% 0.95/0.94 (~node9(s26)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2585, 311, 2511])).
% 0.95/0.94 tff(2587,plain,
% 0.95/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2588,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2589,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2588, 2587])).
% 0.95/0.94 tff(2590,plain,
% 0.95/0.94 (~node10(s26)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2589, 372, 2511])).
% 0.95/0.94 tff(2591,plain,
% 0.95/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2592,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2593,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 0.95/0.94 tff(2594,plain,
% 0.95/0.94 (~node11(s26)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2593, 361, 2531])).
% 0.95/0.94 tff(2595,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2596,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2597,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2596, 2595])).
% 0.95/0.94 tff(2598,plain,
% 0.95/0.94 (node14(s26, s27)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2597, 130, 2542])).
% 0.95/0.94 tff(2599,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2600,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2601,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2600, 2599])).
% 0.95/0.94 tff(2602,plain,
% 0.95/0.94 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2601, 401, 2598])).
% 0.95/0.94 tff(2603,plain,
% 0.95/0.94 (node13(s26, s27)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2602, 2594, 2519, 2590, 2586, 2582, 2578])).
% 0.95/0.94 tff(2604,plain,
% 0.95/0.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2605,plain,
% 0.95/0.94 (((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2)) <=> ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2606,plain,
% 0.95/0.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))))),
% 0.95/0.94 inference(monotonicity,[status(thm)],[2605])).
% 0.95/0.94 tff(2607,plain,
% 0.95/0.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 0.95/0.94 inference(transitivity,[status(thm)],[2606, 2604])).
% 0.95/0.94 tff(2608,plain,
% 0.95/0.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2609,plain,
% 0.95/0.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2608, 2607])).
% 0.95/0.94 tff(2610,plain,
% 0.95/0.94 (m_main_v_state2(s27, c_t2)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2609, 563, 2507, 2603])).
% 0.95/0.94 tff(2611,plain,
% 0.95/0.94 (succ(s27, s28) <=> succ(s27, s28)),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2612,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 0.95/0.94 tff(2613,plain,
% 0.95/0.94 (succ(s27, s28)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2612, 2611])).
% 0.95/0.94 tff(2614,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2615,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2616,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 0.95/0.94 tff(2617,plain,
% 0.95/0.94 (trans(s27, s28)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2616, 2613, 57])).
% 0.95/0.94 tff(2618,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2619,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2620,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 0.95/0.94 tff(2621,plain,
% 0.95/0.94 (node7(s27, s28)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2620, 217, 2617])).
% 0.95/0.94 tff(2622,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2623,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2624,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2623, 2622])).
% 0.95/0.94 tff(2625,plain,
% 0.95/0.94 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2624, 598, 2621])).
% 0.95/0.94 tff(2626,plain,
% 0.95/0.94 (m_main_v_state1(s28, c_t1)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2625, 2610, 2554])).
% 0.95/0.94 tff(2627,plain,
% 0.95/0.94 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2628,plain,
% 0.95/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2629,plain,
% 0.95/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 0.95/0.94 tff(2630,plain,
% 0.95/0.94 (~m_main_v_state1(s28, c_n1)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2629, 35, 2626])).
% 0.95/0.94 tff(2631,plain,
% 0.95/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2632,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2633,plain,
% 0.95/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2632, 2631])).
% 0.95/0.94 tff(2634,plain,
% 0.95/0.94 (~node1(s28)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2633, 249, 2630])).
% 0.95/0.94 tff(2635,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28))),
% 0.95/0.94 inference(rewrite,[status(thm)],[])).
% 0.95/0.94 tff(2636,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 0.95/0.94 inference(quant_inst,[status(thm)],[])).
% 0.95/0.94 tff(2637,plain,
% 0.95/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 0.95/0.94 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 0.95/0.94 tff(2638,plain,
% 0.95/0.94 (node18(s27, s28)),
% 0.95/0.94 inference(unit_resolution,[status(thm)],[2637, 71, 2617])).
% 0.95/0.94 tff(2639,plain,
% 0.95/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2640,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2641,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 0.96/0.94 tff(2642,plain,
% 0.96/0.94 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2641, 625, 2638])).
% 0.96/0.94 tff(2643,plain,
% 0.96/0.94 (m_main_v_turn(s28, c_2)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2642, 2610, 2554])).
% 0.96/0.94 tff(2644,plain,
% 0.96/0.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2645,plain,
% 0.96/0.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2646,plain,
% 0.96/0.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 0.96/0.94 tff(2647,plain,
% 0.96/0.94 (~m_main_v_turn(s28, c_1)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2646, 322, 2643])).
% 0.96/0.94 tff(2648,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2649,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2650,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 0.96/0.94 tff(2651,plain,
% 0.96/0.94 (~node5(s28)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2650, 641, 2647])).
% 0.96/0.94 tff(2652,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2653,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2654,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2653, 2652])).
% 0.96/0.94 tff(2655,plain,
% 0.96/0.94 (~node2(s28)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2654, 652, 2630])).
% 0.96/0.94 tff(2656,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2657,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2658,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2657, 2656])).
% 0.96/0.94 tff(2659,plain,
% 0.96/0.94 (~node3(s28)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2658, 663, 2630])).
% 0.96/0.94 tff(2660,plain,
% 0.96/0.94 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2661,plain,
% 0.96/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2662,plain,
% 0.96/0.94 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2661, 2660])).
% 0.96/0.94 tff(2663,plain,
% 0.96/0.94 (~m_main_v_state1(s28, c_c1)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2662, 289, 2626])).
% 0.96/0.94 tff(2664,plain,
% 0.96/0.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2665,plain,
% 0.96/0.94 (((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2))) <=> (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2666,plain,
% 0.96/0.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))))),
% 0.96/0.94 inference(monotonicity,[status(thm)],[2665])).
% 0.96/0.94 tff(2667,plain,
% 0.96/0.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 0.96/0.94 inference(transitivity,[status(thm)],[2666, 2664])).
% 0.96/0.94 tff(2668,plain,
% 0.96/0.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2669,plain,
% 0.96/0.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 0.96/0.94 tff(2670,plain,
% 0.96/0.94 (~m_main_v_state2(s27, c_n2)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2669, 416, 2511, 2603])).
% 0.96/0.94 tff(2671,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2672,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2673,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 0.96/0.94 tff(2674,plain,
% 0.96/0.94 (~node9(s27)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2673, 311, 2670])).
% 0.96/0.94 tff(2675,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2676,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2677,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 0.96/0.94 tff(2678,plain,
% 0.96/0.94 (~node10(s27)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2677, 372, 2670])).
% 0.96/0.94 tff(2679,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2680,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2681,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 0.96/0.94 tff(2682,plain,
% 0.96/0.94 (~node8(s27)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2681, 383, 2670])).
% 0.96/0.94 tff(2683,plain,
% 0.96/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2684,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2685,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 0.96/0.94 tff(2686,plain,
% 0.96/0.94 (node14(s27, s28)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2685, 130, 2617])).
% 0.96/0.94 tff(2687,plain,
% 0.96/0.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2688,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2689,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2)),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 0.96/0.94 tff(2690,plain,
% 0.96/0.94 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | m_main_v_state2(s28, c_c2)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2689, 704, 2686])).
% 0.96/0.94 tff(2691,plain,
% 0.96/0.94 (m_main_v_state2(s28, c_c2)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2690, 2682, 2554, 2610, 2678, 2674])).
% 0.96/0.94 tff(2692,plain,
% 0.96/0.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2693,plain,
% 0.96/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2694,plain,
% 0.96/0.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2693, 2692])).
% 0.96/0.94 tff(2695,plain,
% 0.96/0.94 (~m_main_v_state2(s28, c_n2)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2694, 716, 2691])).
% 0.96/0.94 tff(2696,plain,
% 0.96/0.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2697,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 0.96/0.94 inference(quant_inst,[status(thm)],[])).
% 0.96/0.94 tff(2698,plain,
% 0.96/0.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2697, 2696])).
% 0.96/0.94 tff(2699,plain,
% 0.96/0.94 (~node4(s28)),
% 0.96/0.94 inference(unit_resolution,[status(thm)],[2698, 162, 2695])).
% 0.96/0.94 tff(2700,plain,
% 0.96/0.94 (succ(s28, s29) <=> succ(s28, s29)),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2701,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 0.96/0.94 tff(2702,plain,
% 0.96/0.94 (succ(s28, s29)),
% 0.96/0.94 inference(modus_ponens,[status(thm)],[2701, 2700])).
% 0.96/0.94 tff(2703,plain,
% 0.96/0.94 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29))),
% 0.96/0.94 inference(rewrite,[status(thm)],[])).
% 0.96/0.94 tff(2704,plain,
% 0.96/0.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2705,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2704, 2703])).
% 0.96/0.95 tff(2706,plain,
% 0.96/0.95 (trans(s28, s29)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2705, 2702, 57])).
% 0.96/0.95 tff(2707,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2708,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2709,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 0.96/0.95 tff(2710,plain,
% 0.96/0.95 (node7(s28, s29)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2709, 217, 2706])).
% 0.96/0.95 tff(2711,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2712,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2713,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2712, 2711])).
% 0.96/0.95 tff(2714,plain,
% 0.96/0.95 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2713, 745, 2710])).
% 0.96/0.95 tff(2715,plain,
% 0.96/0.95 (node6(s28, s29)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2714, 2699, 2663, 2659, 2655, 2651, 2634])).
% 0.96/0.95 tff(2716,plain,
% 0.96/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2717,plain,
% 0.96/0.95 (((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1)) <=> ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2718,plain,
% 0.96/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))))),
% 0.96/0.95 inference(monotonicity,[status(thm)],[2717])).
% 0.96/0.95 tff(2719,plain,
% 0.96/0.95 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 0.96/0.95 inference(transitivity,[status(thm)],[2718, 2716])).
% 0.96/0.95 tff(2720,plain,
% 0.96/0.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2721,plain,
% 0.96/0.95 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 0.96/0.95 tff(2722,plain,
% 0.96/0.95 (m_main_v_state1(s29, c_t1)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2721, 760, 2626, 2715])).
% 0.96/0.95 tff(2723,plain,
% 0.96/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2724,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2725,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 0.96/0.95 tff(2726,plain,
% 0.96/0.95 (~m_main_v_state2(s28, c_t2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2725, 173, 2691])).
% 0.96/0.95 tff(2727,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2728,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2729,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2728, 2727])).
% 0.96/0.95 tff(2730,plain,
% 0.96/0.95 (~node12(s28)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2729, 778, 2726])).
% 0.96/0.95 tff(2731,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2732,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2733,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 0.96/0.95 tff(2734,plain,
% 0.96/0.95 (~node11(s28)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2733, 361, 2630])).
% 0.96/0.95 tff(2735,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2736,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2737,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 0.96/0.95 tff(2738,plain,
% 0.96/0.95 (~node10(s28)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2737, 793, 2663])).
% 0.96/0.95 tff(2739,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2740,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2741,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 0.96/0.95 tff(2742,plain,
% 0.96/0.95 (~node9(s28)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2741, 804, 2630])).
% 0.96/0.95 tff(2743,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2744,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2745,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 0.96/0.95 tff(2746,plain,
% 0.96/0.95 (~node8(s28)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2745, 383, 2695])).
% 0.96/0.95 tff(2747,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2748,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2749,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 0.96/0.95 tff(2750,plain,
% 0.96/0.95 (node14(s28, s29)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2749, 130, 2706])).
% 0.96/0.95 tff(2751,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2752,plain,
% 0.96/0.95 (((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2)) <=> (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2753,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))))),
% 0.96/0.95 inference(monotonicity,[status(thm)],[2752])).
% 0.96/0.95 tff(2754,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 0.96/0.95 inference(transitivity,[status(thm)],[2753, 2751])).
% 0.96/0.95 tff(2755,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2756,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2755, 2754])).
% 0.96/0.95 tff(2757,plain,
% 0.96/0.95 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2756, 826, 2750])).
% 0.96/0.95 tff(2758,plain,
% 0.96/0.95 (m_main_v_state2(s29, c_n2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2757, 2746, 2691, 2742, 2738, 2734, 2730])).
% 0.96/0.95 tff(2759,plain,
% 0.96/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2760,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2761,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 0.96/0.95 tff(2762,plain,
% 0.96/0.95 (~m_main_v_state2(s29, c_t2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2761, 10, 2758])).
% 0.96/0.95 tff(2763,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2764,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2765,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 0.96/0.95 tff(2766,plain,
% 0.96/0.95 (~node15(s29)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2765, 21, 2762])).
% 0.96/0.95 tff(2767,plain,
% 0.96/0.95 (succ(s29, s30) <=> succ(s29, s30)),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2768,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 0.96/0.95 tff(2769,plain,
% 0.96/0.95 (succ(s29, s30)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 0.96/0.95 tff(2770,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2771,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2772,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 0.96/0.95 tff(2773,plain,
% 0.96/0.95 (trans(s29, s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2772, 2769, 57])).
% 0.96/0.95 tff(2774,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2775,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2776,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 0.96/0.95 tff(2777,plain,
% 0.96/0.95 (node18(s29, s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2776, 71, 2773])).
% 0.96/0.95 tff(2778,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2779,plain,
% 0.96/0.95 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1)) <=> (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2780,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)))),
% 0.96/0.95 inference(monotonicity,[status(thm)],[2779])).
% 0.96/0.95 tff(2781,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 0.96/0.95 inference(transitivity,[status(thm)],[2780, 2778])).
% 0.96/0.95 tff(2782,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2783,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2782, 2781])).
% 0.96/0.95 tff(2784,plain,
% 0.96/0.95 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2783, 863, 2777])).
% 0.96/0.95 tff(2785,plain,
% 0.96/0.95 (m_main_v_turn(s30, c_1)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2784, 2766, 2758, 2722])).
% 0.96/0.95 tff(2786,plain,
% 0.96/0.95 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2787,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2788,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 0.96/0.95 tff(2789,plain,
% 0.96/0.95 (~m_main_v_turn(s30, c_2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2788, 322, 2785])).
% 0.96/0.95 tff(2790,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2791,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2792,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 0.96/0.95 tff(2793,plain,
% 0.96/0.95 (~node12(s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2792, 350, 2789])).
% 0.96/0.95 tff(2794,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2795,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2796,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2795, 2794])).
% 0.96/0.95 tff(2797,plain,
% 0.96/0.95 (node14(s29, s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2796, 130, 2773])).
% 0.96/0.95 tff(2798,plain,
% 0.96/0.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2799,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2800,plain,
% 0.96/0.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2)),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 0.96/0.95 tff(2801,plain,
% 0.96/0.95 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2800, 893, 2797])).
% 0.96/0.95 tff(2802,plain,
% 0.96/0.95 (m_main_v_state2(s30, c_t2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2801, 2722, 2758])).
% 0.96/0.95 tff(2803,plain,
% 0.96/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2804,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2805,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 0.96/0.95 tff(2806,plain,
% 0.96/0.95 (~m_main_v_state2(s30, c_n2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2805, 10, 2802])).
% 0.96/0.95 tff(2807,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2808,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2809,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 0.96/0.95 tff(2810,plain,
% 0.96/0.95 (~node8(s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2809, 383, 2806])).
% 0.96/0.95 tff(2811,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2812,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2813,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2812, 2811])).
% 0.96/0.95 tff(2814,plain,
% 0.96/0.95 (~node9(s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2813, 311, 2806])).
% 0.96/0.95 tff(2815,plain,
% 0.96/0.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2816,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2817,plain,
% 0.96/0.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 0.96/0.95 tff(2818,plain,
% 0.96/0.95 (~node10(s30)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2817, 372, 2806])).
% 0.96/0.95 tff(2819,plain,
% 0.96/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2820,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2821,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 0.96/0.95 tff(2822,plain,
% 0.96/0.95 (~m_main_v_state2(s30, c_c2)),
% 0.96/0.95 inference(unit_resolution,[status(thm)],[2821, 173, 2802])).
% 0.96/0.95 tff(2823,plain,
% 0.96/0.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 0.96/0.95 inference(rewrite,[status(thm)],[])).
% 0.96/0.95 tff(2824,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 0.96/0.95 inference(quant_inst,[status(thm)],[])).
% 0.96/0.95 tff(2825,plain,
% 0.96/0.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2))),
% 0.96/0.95 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 0.96/0.95 tff(2826,plain,
% 0.96/0.95 (~m_main_v_state2(s29, c_c2)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2825, 716, 2758])).
% 0.96/0.96 tff(2827,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2828,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2829,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 0.96/0.96 tff(2830,plain,
% 0.96/0.96 (~node3(s29)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2829, 184, 2826])).
% 0.96/0.96 tff(2831,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2832,plain,
% 0.96/0.96 (((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1))) <=> (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2833,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))))),
% 0.96/0.96 inference(monotonicity,[status(thm)],[2832])).
% 0.96/0.96 tff(2834,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 0.96/0.96 inference(transitivity,[status(thm)],[2833, 2831])).
% 0.96/0.96 tff(2835,plain,
% 0.96/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2836,plain,
% 0.96/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 0.96/0.96 tff(2837,plain,
% 0.96/0.96 (~m_main_v_state1(s29, c_n1)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2836, 936, 2630, 2715])).
% 0.96/0.96 tff(2838,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2839,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2840,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 0.96/0.96 tff(2841,plain,
% 0.96/0.96 (~node2(s29)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2840, 652, 2837])).
% 0.96/0.96 tff(2842,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2843,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2844,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 0.96/0.96 tff(2845,plain,
% 0.96/0.96 (~node1(s29)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2844, 206, 2762])).
% 0.96/0.96 tff(2846,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2847,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2848,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 0.96/0.96 tff(2849,plain,
% 0.96/0.96 (node7(s29, s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2848, 217, 2773])).
% 0.96/0.96 tff(2850,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2851,plain,
% 0.96/0.96 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1)) <=> ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2852,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))))),
% 0.96/0.96 inference(monotonicity,[status(thm)],[2851])).
% 0.96/0.96 tff(2853,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 0.96/0.96 inference(transitivity,[status(thm)],[2852, 2850])).
% 0.96/0.96 tff(2854,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2855,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 0.96/0.96 tff(2856,plain,
% 0.96/0.96 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2855, 965, 2849])).
% 0.96/0.96 tff(2857,plain,
% 0.96/0.96 (m_main_v_state1(s30, c_c1)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2856, 2845, 2758, 2722, 2841, 2830])).
% 0.96/0.96 tff(2858,plain,
% 0.96/0.96 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2859,plain,
% 0.96/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2860,plain,
% 0.96/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2859, 2858])).
% 0.96/0.96 tff(2861,plain,
% 0.96/0.96 (~m_main_v_state1(s30, c_n1)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2860, 449, 2857])).
% 0.96/0.96 tff(2862,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2863,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2864,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2863, 2862])).
% 0.96/0.96 tff(2865,plain,
% 0.96/0.96 (~node11(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2864, 361, 2861])).
% 0.96/0.96 tff(2866,plain,
% 0.96/0.96 (succ(s30, s31) <=> succ(s30, s31)),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2867,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 0.96/0.96 tff(2868,plain,
% 0.96/0.96 (succ(s30, s31)),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 0.96/0.96 tff(2869,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2870,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2871,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 0.96/0.96 tff(2872,plain,
% 0.96/0.96 (trans(s30, s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2871, 2868, 57])).
% 0.96/0.96 tff(2873,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2874,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2875,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 0.96/0.96 tff(2876,plain,
% 0.96/0.96 (node14(s30, s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2875, 130, 2872])).
% 0.96/0.96 tff(2877,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2878,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2879,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 0.96/0.96 tff(2880,plain,
% 0.96/0.96 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2879, 401, 2876])).
% 0.96/0.96 tff(2881,plain,
% 0.96/0.96 (node13(s30, s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2880, 2865, 2822, 2818, 2814, 2810, 2793])).
% 0.96/0.96 tff(2882,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2883,plain,
% 0.96/0.96 (((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2))) <=> (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2884,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))))),
% 0.96/0.96 inference(monotonicity,[status(thm)],[2883])).
% 0.96/0.96 tff(2885,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 0.96/0.96 inference(transitivity,[status(thm)],[2884, 2882])).
% 0.96/0.96 tff(2886,plain,
% 0.96/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2887,plain,
% 0.96/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 0.96/0.96 tff(2888,plain,
% 0.96/0.96 (~m_main_v_state2(s31, c_n2)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2887, 416, 2806, 2881])).
% 0.96/0.96 tff(2889,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2890,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2891,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 0.96/0.96 tff(2892,plain,
% 0.96/0.96 (~node9(s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2891, 311, 2888])).
% 0.96/0.96 tff(2893,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2894,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2895,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 0.96/0.96 tff(2896,plain,
% 0.96/0.96 (~node10(s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2895, 372, 2888])).
% 0.96/0.96 tff(2897,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2898,plain,
% 0.96/0.96 (((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2)) <=> ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2899,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))))),
% 0.96/0.96 inference(monotonicity,[status(thm)],[2898])).
% 0.96/0.96 tff(2900,plain,
% 0.96/0.96 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 0.96/0.96 inference(transitivity,[status(thm)],[2899, 2897])).
% 0.96/0.96 tff(2901,plain,
% 0.96/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2902,plain,
% 0.96/0.96 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2901, 2900])).
% 0.96/0.96 tff(2903,plain,
% 0.96/0.96 (m_main_v_state2(s31, c_t2)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2902, 563, 2802, 2881])).
% 0.96/0.96 tff(2904,plain,
% 0.96/0.96 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2905,plain,
% 0.96/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2906,plain,
% 0.96/0.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 0.96/0.96 tff(2907,plain,
% 0.96/0.96 (~m_main_v_state1(s30, c_t1)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2906, 289, 2857])).
% 0.96/0.96 tff(2908,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2909,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2910,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2909, 2908])).
% 0.96/0.96 tff(2911,plain,
% 0.96/0.96 (~node5(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2910, 300, 2907])).
% 0.96/0.96 tff(2912,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2913,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2914,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2913, 2912])).
% 0.96/0.96 tff(2915,plain,
% 0.96/0.96 (~node4(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2914, 162, 2806])).
% 0.96/0.96 tff(2916,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2917,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2918,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 0.96/0.96 tff(2919,plain,
% 0.96/0.96 (~node3(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2918, 184, 2822])).
% 0.96/0.96 tff(2920,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2921,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2922,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 0.96/0.96 tff(2923,plain,
% 0.96/0.96 (~node2(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2922, 195, 2806])).
% 0.96/0.96 tff(2924,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2925,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2926,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 0.96/0.96 tff(2927,plain,
% 0.96/0.96 (~node1(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2926, 249, 2861])).
% 0.96/0.96 tff(2928,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2929,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2930,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 0.96/0.96 tff(2931,plain,
% 0.96/0.96 (node7(s30, s31)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2930, 217, 2872])).
% 0.96/0.96 tff(2932,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2933,plain,
% 0.96/0.96 (((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1)) <=> (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2934,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))))),
% 0.96/0.96 inference(monotonicity,[status(thm)],[2933])).
% 0.96/0.96 tff(2935,plain,
% 0.96/0.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 0.96/0.96 inference(transitivity,[status(thm)],[2934, 2932])).
% 0.96/0.96 tff(2936,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.96 tff(2937,plain,
% 0.96/0.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))),
% 0.96/0.96 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 0.96/0.96 tff(2938,plain,
% 0.96/0.96 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2937, 478, 2931])).
% 0.96/0.96 tff(2939,plain,
% 0.96/0.96 (m_main_v_state1(s31, c_n1)),
% 0.96/0.96 inference(unit_resolution,[status(thm)],[2938, 2927, 2857, 2923, 2919, 2915, 2911])).
% 0.96/0.96 tff(2940,plain,
% 0.96/0.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 0.96/0.96 inference(rewrite,[status(thm)],[])).
% 0.96/0.96 tff(2941,plain,
% 0.96/0.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 0.96/0.96 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2942,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 0.96/0.97 tff(2943,plain,
% 0.96/0.97 (~node8(s31)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2942, 383, 2888])).
% 0.96/0.97 tff(2944,plain,
% 0.96/0.97 (succ(s31, s32) <=> succ(s31, s32)),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2945,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 0.96/0.97 tff(2946,plain,
% 0.96/0.97 (succ(s31, s32)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2945, 2944])).
% 0.96/0.97 tff(2947,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2948,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2949,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 0.96/0.97 tff(2950,plain,
% 0.96/0.97 (trans(s31, s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2949, 2946, 57])).
% 0.96/0.97 tff(2951,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2952,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2953,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 0.96/0.97 tff(2954,plain,
% 0.96/0.97 (node14(s31, s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2953, 130, 2950])).
% 0.96/0.97 tff(2955,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2956,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2957,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 0.96/0.97 tff(2958,plain,
% 0.96/0.97 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | m_main_v_state2(s32, c_c2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2957, 704, 2954])).
% 0.96/0.97 tff(2959,plain,
% 0.96/0.97 (m_main_v_state2(s32, c_c2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2958, 2943, 2939, 2903, 2896, 2892])).
% 0.96/0.97 tff(2960,plain,
% 0.96/0.97 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2961,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2962,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 0.96/0.97 tff(2963,plain,
% 0.96/0.97 (~m_main_v_state2(s32, c_t2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2962, 173, 2959])).
% 0.96/0.97 tff(2964,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2965,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2966,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 0.96/0.97 tff(2967,plain,
% 0.96/0.97 (~node12(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2966, 778, 2963])).
% 0.96/0.97 tff(2968,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2969,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2970,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2969, 2968])).
% 0.96/0.97 tff(2971,plain,
% 0.96/0.97 (node7(s31, s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2970, 217, 2950])).
% 0.96/0.97 tff(2972,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2973,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2974,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 0.96/0.97 tff(2975,plain,
% 0.96/0.97 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2974, 598, 2971])).
% 0.96/0.97 tff(2976,plain,
% 0.96/0.97 (m_main_v_state1(s32, c_t1)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2975, 2903, 2939])).
% 0.96/0.97 tff(2977,plain,
% 0.96/0.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2978,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2979,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 0.96/0.97 tff(2980,plain,
% 0.96/0.97 (~m_main_v_state1(s32, c_n1)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2979, 35, 2976])).
% 0.96/0.97 tff(2981,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2982,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2983,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 0.96/0.97 tff(2984,plain,
% 0.96/0.97 (~node11(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2983, 361, 2980])).
% 0.96/0.97 tff(2985,plain,
% 0.96/0.97 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2986,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2987,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 0.96/0.97 tff(2988,plain,
% 0.96/0.97 (~m_main_v_state1(s32, c_c1)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2987, 289, 2976])).
% 0.96/0.97 tff(2989,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2990,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2991,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 0.96/0.97 tff(2992,plain,
% 0.96/0.97 (~node10(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2991, 793, 2988])).
% 0.96/0.97 tff(2993,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2994,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2995,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 0.96/0.97 tff(2996,plain,
% 0.96/0.97 (~node9(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2995, 804, 2980])).
% 0.96/0.97 tff(2997,plain,
% 0.96/0.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(2998,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(2999,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 0.96/0.97 tff(3000,plain,
% 0.96/0.97 (~m_main_v_state2(s32, c_n2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[2999, 716, 2959])).
% 0.96/0.97 tff(3001,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3002,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3003,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 0.96/0.97 tff(3004,plain,
% 0.96/0.97 (~node8(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3003, 383, 3000])).
% 0.96/0.97 tff(3005,plain,
% 0.96/0.97 (succ(s32, s33) <=> succ(s32, s33)),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3006,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 0.96/0.97 tff(3007,plain,
% 0.96/0.97 (succ(s32, s33)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3006, 3005])).
% 0.96/0.97 tff(3008,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3009,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3010,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 0.96/0.97 tff(3011,plain,
% 0.96/0.97 (trans(s32, s33)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3010, 3007, 57])).
% 0.96/0.97 tff(3012,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3013,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3014,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3013, 3012])).
% 0.96/0.97 tff(3015,plain,
% 0.96/0.97 (node14(s32, s33)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3014, 130, 3011])).
% 0.96/0.97 tff(3016,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3017,plain,
% 0.96/0.97 (((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2)) <=> (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3018,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))))),
% 0.96/0.97 inference(monotonicity,[status(thm)],[3017])).
% 0.96/0.97 tff(3019,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 0.96/0.97 inference(transitivity,[status(thm)],[3018, 3016])).
% 0.96/0.97 tff(3020,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3021,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3020, 3019])).
% 0.96/0.97 tff(3022,plain,
% 0.96/0.97 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3021, 826, 3015])).
% 0.96/0.97 tff(3023,plain,
% 0.96/0.97 (m_main_v_state2(s33, c_n2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3022, 3004, 2959, 2996, 2992, 2984, 2967])).
% 0.96/0.97 tff(3024,plain,
% 0.96/0.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3025,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3026,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 0.96/0.97 tff(3027,plain,
% 0.96/0.97 (~m_main_v_state2(s33, c_c2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3026, 716, 3023])).
% 0.96/0.97 tff(3028,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3029,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3030,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3029, 3028])).
% 0.96/0.97 tff(3031,plain,
% 0.96/0.97 (~node3(s33)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3030, 184, 3027])).
% 0.96/0.97 tff(3032,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3033,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3034,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 0.96/0.97 tff(3035,plain,
% 0.96/0.97 (~node1(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3034, 249, 2980])).
% 0.96/0.97 tff(3036,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3037,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3038,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 0.96/0.97 tff(3039,plain,
% 0.96/0.97 (node18(s31, s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3038, 71, 2950])).
% 0.96/0.97 tff(3040,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3041,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3042,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 0.96/0.97 tff(3043,plain,
% 0.96/0.97 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3042, 625, 3039])).
% 0.96/0.97 tff(3044,plain,
% 0.96/0.97 (m_main_v_turn(s32, c_2)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3043, 2903, 2939])).
% 0.96/0.97 tff(3045,plain,
% 0.96/0.97 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3046,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3047,plain,
% 0.96/0.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 0.96/0.97 tff(3048,plain,
% 0.96/0.97 (~m_main_v_turn(s32, c_1)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3047, 322, 3044])).
% 0.96/0.97 tff(3049,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3050,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3051,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 0.96/0.97 tff(3052,plain,
% 0.96/0.97 (~node5(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3051, 641, 3048])).
% 0.96/0.97 tff(3053,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3054,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3055,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 0.96/0.97 tff(3056,plain,
% 0.96/0.97 (~node2(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3055, 652, 2980])).
% 0.96/0.97 tff(3057,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3058,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3059,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 0.96/0.97 tff(3060,plain,
% 0.96/0.97 (~node3(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3059, 663, 2980])).
% 0.96/0.97 tff(3061,plain,
% 0.96/0.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3062,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3063,plain,
% 0.96/0.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 0.96/0.97 tff(3064,plain,
% 0.96/0.97 (~node4(s32)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3063, 162, 3000])).
% 0.96/0.97 tff(3065,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3066,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3067,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3066, 3065])).
% 0.96/0.97 tff(3068,plain,
% 0.96/0.97 (node7(s32, s33)),
% 0.96/0.97 inference(unit_resolution,[status(thm)],[3067, 217, 3011])).
% 0.96/0.97 tff(3069,plain,
% 0.96/0.97 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 0.96/0.97 inference(rewrite,[status(thm)],[])).
% 0.96/0.97 tff(3070,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 0.96/0.97 inference(quant_inst,[status(thm)],[])).
% 0.96/0.97 tff(3071,plain,
% 0.96/0.97 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33))),
% 0.96/0.97 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 0.96/0.98 tff(3072,plain,
% 0.96/0.98 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3071, 745, 3068])).
% 0.96/0.98 tff(3073,plain,
% 0.96/0.98 (node6(s32, s33)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3072, 3064, 2988, 3060, 3056, 3052, 3035])).
% 0.96/0.98 tff(3074,plain,
% 0.96/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3075,plain,
% 0.96/0.98 (((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1))) <=> (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3076,plain,
% 0.96/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[3075])).
% 0.96/0.98 tff(3077,plain,
% 0.96/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 0.96/0.98 inference(transitivity,[status(thm)],[3076, 3074])).
% 0.96/0.98 tff(3078,plain,
% 0.96/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3079,plain,
% 0.96/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 0.96/0.98 tff(3080,plain,
% 0.96/0.98 (~m_main_v_state1(s33, c_n1)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3079, 936, 2980, 3073])).
% 0.96/0.98 tff(3081,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3082,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3083,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 0.96/0.98 tff(3084,plain,
% 0.96/0.98 (~node2(s33)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3083, 652, 3080])).
% 0.96/0.98 tff(3085,plain,
% 0.96/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3086,plain,
% 0.96/0.98 (((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1)) <=> ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3087,plain,
% 0.96/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[3086])).
% 0.96/0.98 tff(3088,plain,
% 0.96/0.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 0.96/0.98 inference(transitivity,[status(thm)],[3087, 3085])).
% 0.96/0.98 tff(3089,plain,
% 0.96/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3090,plain,
% 0.96/0.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 0.96/0.98 tff(3091,plain,
% 0.96/0.98 (m_main_v_state1(s33, c_t1)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3090, 760, 2976, 3073])).
% 0.96/0.98 tff(3092,plain,
% 0.96/0.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3093,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3094,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 0.96/0.98 tff(3095,plain,
% 0.96/0.98 (~m_main_v_state2(s33, c_t2)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3094, 10, 3023])).
% 0.96/0.98 tff(3096,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3097,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3098,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 0.96/0.98 tff(3099,plain,
% 0.96/0.98 (~node1(s33)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3098, 206, 3095])).
% 0.96/0.98 tff(3100,plain,
% 0.96/0.98 (succ(s33, s34) <=> succ(s33, s34)),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3101,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 0.96/0.98 tff(3102,plain,
% 0.96/0.98 (succ(s33, s34)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 0.96/0.98 tff(3103,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3104,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3105,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3104, 3103])).
% 0.96/0.98 tff(3106,plain,
% 0.96/0.98 (trans(s33, s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3105, 3102, 57])).
% 0.96/0.98 tff(3107,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3108,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3109,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 0.96/0.98 tff(3110,plain,
% 0.96/0.98 (node7(s33, s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3109, 217, 3106])).
% 0.96/0.98 tff(3111,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3112,plain,
% 0.96/0.98 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1)) <=> ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3113,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[3112])).
% 0.96/0.98 tff(3114,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 0.96/0.98 inference(transitivity,[status(thm)],[3113, 3111])).
% 0.96/0.98 tff(3115,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3116,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 0.96/0.98 tff(3117,plain,
% 0.96/0.98 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3116, 965, 3110])).
% 0.96/0.98 tff(3118,plain,
% 0.96/0.98 (m_main_v_state1(s34, c_c1)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3117, 3099, 3023, 3091, 3084, 3031])).
% 0.96/0.98 tff(3119,plain,
% 0.96/0.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3120,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3121,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 0.96/0.98 tff(3122,plain,
% 0.96/0.98 (~m_main_v_state1(s34, c_t1)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3121, 289, 3118])).
% 0.96/0.98 tff(3123,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3124,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3125,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 0.96/0.98 tff(3126,plain,
% 0.96/0.98 (~node5(s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3125, 300, 3122])).
% 0.96/0.98 tff(3127,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3128,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3129,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 0.96/0.98 tff(3130,plain,
% 0.96/0.98 (node14(s33, s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3129, 130, 3106])).
% 0.96/0.98 tff(3131,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3132,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3133,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 0.96/0.98 tff(3134,plain,
% 0.96/0.98 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3133, 893, 3130])).
% 0.96/0.98 tff(3135,plain,
% 0.96/0.98 (m_main_v_state2(s34, c_t2)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3134, 3091, 3023])).
% 0.96/0.98 tff(3136,plain,
% 0.96/0.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3137,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3138,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 0.96/0.98 tff(3139,plain,
% 0.96/0.98 (~m_main_v_state2(s34, c_n2)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3138, 10, 3135])).
% 0.96/0.98 tff(3140,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3141,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3142,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3141, 3140])).
% 0.96/0.98 tff(3143,plain,
% 0.96/0.98 (~node4(s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3142, 162, 3139])).
% 0.96/0.98 tff(3144,plain,
% 0.96/0.98 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3145,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3146,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3145, 3144])).
% 0.96/0.98 tff(3147,plain,
% 0.96/0.98 (~m_main_v_state2(s34, c_c2)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3146, 173, 3135])).
% 0.96/0.98 tff(3148,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3149,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3150,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 0.96/0.98 tff(3151,plain,
% 0.96/0.98 (~node3(s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3150, 184, 3147])).
% 0.96/0.98 tff(3152,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3153,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3154,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 0.96/0.98 tff(3155,plain,
% 0.96/0.98 (~node2(s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3154, 195, 3139])).
% 0.96/0.98 tff(3156,plain,
% 0.96/0.98 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3157,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3158,plain,
% 0.96/0.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 0.96/0.98 tff(3159,plain,
% 0.96/0.98 (~m_main_v_state1(s34, c_n1)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3158, 449, 3118])).
% 0.96/0.98 tff(3160,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3161,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3162,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 0.96/0.98 tff(3163,plain,
% 0.96/0.98 (~node1(s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3162, 249, 3159])).
% 0.96/0.98 tff(3164,plain,
% 0.96/0.98 (succ(s34, s35) <=> succ(s34, s35)),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3165,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 0.96/0.98 tff(3166,plain,
% 0.96/0.98 (succ(s34, s35)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3165, 3164])).
% 0.96/0.98 tff(3167,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3168,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3169,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 0.96/0.98 tff(3170,plain,
% 0.96/0.98 (trans(s34, s35)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3169, 3166, 57])).
% 0.96/0.98 tff(3171,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3172,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3173,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3172, 3171])).
% 0.96/0.98 tff(3174,plain,
% 0.96/0.98 (node7(s34, s35)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3173, 217, 3170])).
% 0.96/0.98 tff(3175,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3176,plain,
% 0.96/0.98 (((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1)) <=> (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3177,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))))),
% 0.96/0.98 inference(monotonicity,[status(thm)],[3176])).
% 0.96/0.98 tff(3178,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 0.96/0.98 inference(transitivity,[status(thm)],[3177, 3175])).
% 0.96/0.98 tff(3179,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3180,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 0.96/0.98 tff(3181,plain,
% 0.96/0.98 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3180, 478, 3174])).
% 0.96/0.98 tff(3182,plain,
% 0.96/0.98 (m_main_v_state1(s35, c_n1)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3181, 3163, 3118, 3155, 3151, 3143, 3126])).
% 0.96/0.98 tff(3183,plain,
% 0.96/0.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3184,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3185,plain,
% 0.96/0.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 0.96/0.98 tff(3186,plain,
% 0.96/0.98 (~node15(s33)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3185, 21, 3095])).
% 0.96/0.98 tff(3187,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34))),
% 0.96/0.98 inference(rewrite,[status(thm)],[])).
% 0.96/0.98 tff(3188,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 0.96/0.98 inference(quant_inst,[status(thm)],[])).
% 0.96/0.98 tff(3189,plain,
% 0.96/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 0.96/0.98 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 0.96/0.98 tff(3190,plain,
% 0.96/0.98 (node18(s33, s34)),
% 0.96/0.98 inference(unit_resolution,[status(thm)],[3189, 71, 3106])).
% 0.96/0.98 tff(3191,plain,
% 0.96/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3192,plain,
% 0.96/0.99 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1)) <=> (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3193,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)))),
% 0.96/0.99 inference(monotonicity,[status(thm)],[3192])).
% 0.96/0.99 tff(3194,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 0.96/0.99 inference(transitivity,[status(thm)],[3193, 3191])).
% 0.96/0.99 tff(3195,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3196,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3195, 3194])).
% 0.96/0.99 tff(3197,plain,
% 0.96/0.99 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3196, 863, 3190])).
% 0.96/0.99 tff(3198,plain,
% 0.96/0.99 (m_main_v_turn(s34, c_1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3197, 3186, 3023, 3091])).
% 0.96/0.99 tff(3199,plain,
% 0.96/0.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3200,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3201,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 0.96/0.99 tff(3202,plain,
% 0.96/0.99 (~m_main_v_turn(s34, c_2)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3201, 322, 3198])).
% 0.96/0.99 tff(3203,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3204,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3205,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 0.96/0.99 tff(3206,plain,
% 0.96/0.99 (~node12(s34)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3205, 350, 3202])).
% 0.96/0.99 tff(3207,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3208,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3209,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 0.96/0.99 tff(3210,plain,
% 0.96/0.99 (~node8(s34)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3209, 383, 3139])).
% 0.96/0.99 tff(3211,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3212,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3213,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 0.96/0.99 tff(3214,plain,
% 0.96/0.99 (~node9(s34)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3213, 311, 3139])).
% 0.96/0.99 tff(3215,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3216,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3217,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3216, 3215])).
% 0.96/0.99 tff(3218,plain,
% 0.96/0.99 (~node10(s34)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3217, 372, 3139])).
% 0.96/0.99 tff(3219,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3220,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3221,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3220, 3219])).
% 0.96/0.99 tff(3222,plain,
% 0.96/0.99 (~node11(s34)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3221, 361, 3159])).
% 0.96/0.99 tff(3223,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3224,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3225,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3224, 3223])).
% 0.96/0.99 tff(3226,plain,
% 0.96/0.99 (node14(s34, s35)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3225, 130, 3170])).
% 0.96/0.99 tff(3227,plain,
% 0.96/0.99 (((~![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(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3228,plain,
% 0.96/0.99 ((~![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(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3229,plain,
% 0.96/0.99 ((~![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(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 0.96/0.99 tff(3230,plain,
% 0.96/0.99 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3229, 401, 3226])).
% 0.96/0.99 tff(3231,plain,
% 0.96/0.99 (node13(s34, s35)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3230, 3222, 3147, 3218, 3214, 3210, 3206])).
% 0.96/0.99 tff(3232,plain,
% 0.96/0.99 (((~![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(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3233,plain,
% 0.96/0.99 (((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2)) <=> ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3234,plain,
% 0.96/0.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))))),
% 0.96/0.99 inference(monotonicity,[status(thm)],[3233])).
% 0.96/0.99 tff(3235,plain,
% 0.96/0.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 0.96/0.99 inference(transitivity,[status(thm)],[3234, 3232])).
% 0.96/0.99 tff(3236,plain,
% 0.96/0.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3237,plain,
% 0.96/0.99 ((~![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(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3236, 3235])).
% 0.96/0.99 tff(3238,plain,
% 0.96/0.99 (m_main_v_state2(s35, c_t2)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3237, 563, 3135, 3231])).
% 0.96/0.99 tff(3239,plain,
% 0.96/0.99 (succ(s35, s36) <=> succ(s35, s36)),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3240,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 0.96/0.99 tff(3241,plain,
% 0.96/0.99 (succ(s35, s36)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 0.96/0.99 tff(3242,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3243,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3244,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 0.96/0.99 tff(3245,plain,
% 0.96/0.99 (trans(s35, s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3244, 3241, 57])).
% 0.96/0.99 tff(3246,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3247,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3248,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3247, 3246])).
% 0.96/0.99 tff(3249,plain,
% 0.96/0.99 (node7(s35, s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3248, 217, 3245])).
% 0.96/0.99 tff(3250,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3251,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3252,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3251, 3250])).
% 0.96/0.99 tff(3253,plain,
% 0.96/0.99 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3252, 598, 3249])).
% 0.96/0.99 tff(3254,plain,
% 0.96/0.99 (m_main_v_state1(s36, c_t1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3253, 3238, 3182])).
% 0.96/0.99 tff(3255,plain,
% 0.96/0.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3256,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3257,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 0.96/0.99 tff(3258,plain,
% 0.96/0.99 (~m_main_v_state1(s36, c_n1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3257, 35, 3254])).
% 0.96/0.99 tff(3259,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3260,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3261,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 0.96/0.99 tff(3262,plain,
% 0.96/0.99 (~node1(s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3261, 249, 3258])).
% 0.96/0.99 tff(3263,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3264,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3265,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3264, 3263])).
% 0.96/0.99 tff(3266,plain,
% 0.96/0.99 (node18(s35, s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3265, 71, 3245])).
% 0.96/0.99 tff(3267,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3268,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3269,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 0.96/0.99 tff(3270,plain,
% 0.96/0.99 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3269, 625, 3266])).
% 0.96/0.99 tff(3271,plain,
% 0.96/0.99 (m_main_v_turn(s36, c_2)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3270, 3238, 3182])).
% 0.96/0.99 tff(3272,plain,
% 0.96/0.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3273,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3274,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 0.96/0.99 tff(3275,plain,
% 0.96/0.99 (~m_main_v_turn(s36, c_1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3274, 322, 3271])).
% 0.96/0.99 tff(3276,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3277,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3278,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 0.96/0.99 tff(3279,plain,
% 0.96/0.99 (~node5(s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3278, 641, 3275])).
% 0.96/0.99 tff(3280,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3281,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3282,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3281, 3280])).
% 0.96/0.99 tff(3283,plain,
% 0.96/0.99 (~node2(s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3282, 652, 3258])).
% 0.96/0.99 tff(3284,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3285,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3286,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 0.96/0.99 tff(3287,plain,
% 0.96/0.99 (~node3(s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3286, 663, 3258])).
% 0.96/0.99 tff(3288,plain,
% 0.96/0.99 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3289,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3290,plain,
% 0.96/0.99 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 0.96/0.99 tff(3291,plain,
% 0.96/0.99 (~m_main_v_state1(s36, c_c1)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3290, 289, 3254])).
% 0.96/0.99 tff(3292,plain,
% 0.96/0.99 (((~![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(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3293,plain,
% 0.96/0.99 (((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2))) <=> (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3294,plain,
% 0.96/0.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))))),
% 0.96/0.99 inference(monotonicity,[status(thm)],[3293])).
% 0.96/0.99 tff(3295,plain,
% 0.96/0.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 0.96/0.99 inference(transitivity,[status(thm)],[3294, 3292])).
% 0.96/0.99 tff(3296,plain,
% 0.96/0.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3297,plain,
% 0.96/0.99 ((~![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(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 0.96/0.99 tff(3298,plain,
% 0.96/0.99 (~m_main_v_state2(s35, c_n2)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3297, 416, 3139, 3231])).
% 0.96/0.99 tff(3299,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3300,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3301,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 0.96/0.99 tff(3302,plain,
% 0.96/0.99 (~node9(s35)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3301, 311, 3298])).
% 0.96/0.99 tff(3303,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3304,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3305,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 0.96/0.99 tff(3306,plain,
% 0.96/0.99 (~node10(s35)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3305, 372, 3298])).
% 0.96/0.99 tff(3307,plain,
% 0.96/0.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3308,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3309,plain,
% 0.96/0.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 0.96/0.99 tff(3310,plain,
% 0.96/0.99 (~node8(s35)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3309, 383, 3298])).
% 0.96/0.99 tff(3311,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3312,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 0.96/0.99 inference(quant_inst,[status(thm)],[])).
% 0.96/0.99 tff(3313,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 0.96/0.99 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 0.96/0.99 tff(3314,plain,
% 0.96/0.99 (node14(s35, s36)),
% 0.96/0.99 inference(unit_resolution,[status(thm)],[3313, 130, 3245])).
% 0.96/0.99 tff(3315,plain,
% 0.96/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 0.96/0.99 inference(rewrite,[status(thm)],[])).
% 0.96/0.99 tff(3316,plain,
% 0.96/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3317,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 0.96/1.00 tff(3318,plain,
% 0.96/1.00 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | m_main_v_state2(s36, c_c2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3317, 704, 3314])).
% 0.96/1.00 tff(3319,plain,
% 0.96/1.00 (m_main_v_state2(s36, c_c2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3318, 3310, 3182, 3238, 3306, 3302])).
% 0.96/1.00 tff(3320,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3321,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3322,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3321, 3320])).
% 0.96/1.00 tff(3323,plain,
% 0.96/1.00 (~m_main_v_state2(s36, c_n2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3322, 716, 3319])).
% 0.96/1.00 tff(3324,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3325,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3326,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 0.96/1.00 tff(3327,plain,
% 0.96/1.00 (~node4(s36)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3326, 162, 3323])).
% 0.96/1.00 tff(3328,plain,
% 0.96/1.00 (succ(s36, s37) <=> succ(s36, s37)),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3329,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 0.96/1.00 tff(3330,plain,
% 0.96/1.00 (succ(s36, s37)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 0.96/1.00 tff(3331,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3332,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3333,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3332, 3331])).
% 0.96/1.00 tff(3334,plain,
% 0.96/1.00 (trans(s36, s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3333, 3330, 57])).
% 0.96/1.00 tff(3335,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3336,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3337,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3336, 3335])).
% 0.96/1.00 tff(3338,plain,
% 0.96/1.00 (node7(s36, s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3337, 217, 3334])).
% 0.96/1.00 tff(3339,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3340,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3341,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3340, 3339])).
% 0.96/1.00 tff(3342,plain,
% 0.96/1.00 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3341, 745, 3338])).
% 0.96/1.00 tff(3343,plain,
% 0.96/1.00 (node6(s36, s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3342, 3327, 3291, 3287, 3283, 3279, 3262])).
% 0.96/1.00 tff(3344,plain,
% 0.96/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3345,plain,
% 0.96/1.00 (((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1)) <=> ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3346,plain,
% 0.96/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))))),
% 0.96/1.00 inference(monotonicity,[status(thm)],[3345])).
% 0.96/1.00 tff(3347,plain,
% 0.96/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 0.96/1.00 inference(transitivity,[status(thm)],[3346, 3344])).
% 0.96/1.00 tff(3348,plain,
% 0.96/1.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3349,plain,
% 0.96/1.00 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3348, 3347])).
% 0.96/1.00 tff(3350,plain,
% 0.96/1.00 (m_main_v_state1(s37, c_t1)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3349, 760, 3254, 3343])).
% 0.96/1.00 tff(3351,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3352,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3353,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3352, 3351])).
% 0.96/1.00 tff(3354,plain,
% 0.96/1.00 (~m_main_v_state2(s36, c_t2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3353, 173, 3319])).
% 0.96/1.00 tff(3355,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3356,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3357,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3356, 3355])).
% 0.96/1.00 tff(3358,plain,
% 0.96/1.00 (~node12(s36)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3357, 778, 3354])).
% 0.96/1.00 tff(3359,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3360,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3361,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 0.96/1.00 tff(3362,plain,
% 0.96/1.00 (~node11(s36)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3361, 361, 3258])).
% 0.96/1.00 tff(3363,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3364,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3365,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 0.96/1.00 tff(3366,plain,
% 0.96/1.00 (~node10(s36)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3365, 793, 3291])).
% 0.96/1.00 tff(3367,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3368,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3369,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 0.96/1.00 tff(3370,plain,
% 0.96/1.00 (~node9(s36)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3369, 804, 3258])).
% 0.96/1.00 tff(3371,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3372,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3373,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 0.96/1.00 tff(3374,plain,
% 0.96/1.00 (~node8(s36)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3373, 383, 3323])).
% 0.96/1.00 tff(3375,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3376,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3377,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 0.96/1.00 tff(3378,plain,
% 0.96/1.00 (node14(s36, s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3377, 130, 3334])).
% 0.96/1.00 tff(3379,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3380,plain,
% 0.96/1.00 (((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2)) <=> (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3381,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))))),
% 0.96/1.00 inference(monotonicity,[status(thm)],[3380])).
% 0.96/1.00 tff(3382,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 0.96/1.00 inference(transitivity,[status(thm)],[3381, 3379])).
% 0.96/1.00 tff(3383,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3384,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 0.96/1.00 tff(3385,plain,
% 0.96/1.00 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3384, 826, 3378])).
% 0.96/1.00 tff(3386,plain,
% 0.96/1.00 (m_main_v_state2(s37, c_n2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3385, 3374, 3319, 3370, 3366, 3362, 3358])).
% 0.96/1.00 tff(3387,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3388,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3389,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 0.96/1.00 tff(3390,plain,
% 0.96/1.00 (~m_main_v_state2(s37, c_t2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3389, 10, 3386])).
% 0.96/1.00 tff(3391,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3392,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3393,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 0.96/1.00 tff(3394,plain,
% 0.96/1.00 (~node15(s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3393, 21, 3390])).
% 0.96/1.00 tff(3395,plain,
% 0.96/1.00 (succ(s37, s38) <=> succ(s37, s38)),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3396,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 0.96/1.00 tff(3397,plain,
% 0.96/1.00 (succ(s37, s38)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 0.96/1.00 tff(3398,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3399,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3400,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3399, 3398])).
% 0.96/1.00 tff(3401,plain,
% 0.96/1.00 (trans(s37, s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3400, 3397, 57])).
% 0.96/1.00 tff(3402,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3403,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3404,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 0.96/1.00 tff(3405,plain,
% 0.96/1.00 (node18(s37, s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3404, 71, 3401])).
% 0.96/1.00 tff(3406,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3407,plain,
% 0.96/1.00 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1)) <=> (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3408,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)))),
% 0.96/1.00 inference(monotonicity,[status(thm)],[3407])).
% 0.96/1.00 tff(3409,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 0.96/1.00 inference(transitivity,[status(thm)],[3408, 3406])).
% 0.96/1.00 tff(3410,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3411,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3410, 3409])).
% 0.96/1.00 tff(3412,plain,
% 0.96/1.00 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3411, 863, 3405])).
% 0.96/1.00 tff(3413,plain,
% 0.96/1.00 (m_main_v_turn(s38, c_1)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3412, 3394, 3386, 3350])).
% 0.96/1.00 tff(3414,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3415,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3416,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 0.96/1.00 tff(3417,plain,
% 0.96/1.00 (~m_main_v_turn(s38, c_2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3416, 322, 3413])).
% 0.96/1.00 tff(3418,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3419,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3420,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3419, 3418])).
% 0.96/1.00 tff(3421,plain,
% 0.96/1.00 (~node12(s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3420, 350, 3417])).
% 0.96/1.00 tff(3422,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3423,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3424,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3423, 3422])).
% 0.96/1.00 tff(3425,plain,
% 0.96/1.00 (node14(s37, s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3424, 130, 3401])).
% 0.96/1.00 tff(3426,plain,
% 0.96/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3427,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3428,plain,
% 0.96/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2)),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 0.96/1.00 tff(3429,plain,
% 0.96/1.00 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3428, 893, 3425])).
% 0.96/1.00 tff(3430,plain,
% 0.96/1.00 (m_main_v_state2(s38, c_t2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3429, 3350, 3386])).
% 0.96/1.00 tff(3431,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3432,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3433,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 0.96/1.00 tff(3434,plain,
% 0.96/1.00 (~m_main_v_state2(s38, c_n2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3433, 10, 3430])).
% 0.96/1.00 tff(3435,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3436,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3437,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3436, 3435])).
% 0.96/1.00 tff(3438,plain,
% 0.96/1.00 (~node8(s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3437, 383, 3434])).
% 0.96/1.00 tff(3439,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3440,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3441,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 0.96/1.00 tff(3442,plain,
% 0.96/1.00 (~node9(s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3441, 311, 3434])).
% 0.96/1.00 tff(3443,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3444,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3445,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3444, 3443])).
% 0.96/1.00 tff(3446,plain,
% 0.96/1.00 (~node10(s38)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3445, 372, 3434])).
% 0.96/1.00 tff(3447,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3448,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3449,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3448, 3447])).
% 0.96/1.00 tff(3450,plain,
% 0.96/1.00 (~m_main_v_state2(s38, c_c2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3449, 173, 3430])).
% 0.96/1.00 tff(3451,plain,
% 0.96/1.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3452,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3453,plain,
% 0.96/1.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 0.96/1.00 tff(3454,plain,
% 0.96/1.00 (~m_main_v_state2(s37, c_c2)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3453, 716, 3386])).
% 0.96/1.00 tff(3455,plain,
% 0.96/1.00 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 0.96/1.00 inference(rewrite,[status(thm)],[])).
% 0.96/1.00 tff(3456,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 0.96/1.00 inference(quant_inst,[status(thm)],[])).
% 0.96/1.00 tff(3457,plain,
% 0.96/1.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 0.96/1.00 inference(modus_ponens,[status(thm)],[3456, 3455])).
% 0.96/1.00 tff(3458,plain,
% 0.96/1.00 (~node3(s37)),
% 0.96/1.00 inference(unit_resolution,[status(thm)],[3457, 184, 3454])).
% 0.96/1.00 tff(3459,plain,
% 0.96/1.00 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3460,plain,
% 1.03/1.01 (((~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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3461,plain,
% 1.03/1.01 (((~![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))))),
% 1.03/1.01 inference(monotonicity,[status(thm)],[3460])).
% 1.03/1.01 tff(3462,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(transitivity,[status(thm)],[3461, 3459])).
% 1.03/1.01 tff(3463,plain,
% 1.03/1.01 ((~![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)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3464,plain,
% 1.03/1.01 ((~![V: $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))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 1.03/1.01 tff(3465,plain,
% 1.03/1.01 (~m_main_v_state1(s37, c_n1)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3464, 936, 3258, 3343])).
% 1.03/1.01 tff(3466,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3467,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3468,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 1.03/1.01 tff(3469,plain,
% 1.03/1.01 (~node2(s37)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3468, 652, 3465])).
% 1.03/1.01 tff(3470,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3471,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3472,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 1.03/1.01 tff(3473,plain,
% 1.03/1.01 (~node1(s37)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3472, 206, 3390])).
% 1.03/1.01 tff(3474,plain,
% 1.03/1.01 (((~![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))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3475,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3476,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 1.03/1.01 tff(3477,plain,
% 1.03/1.01 (node7(s37, s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3476, 217, 3401])).
% 1.03/1.01 tff(3478,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3479,plain,
% 1.03/1.01 (((~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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3480,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 1.03/1.01 inference(monotonicity,[status(thm)],[3479])).
% 1.03/1.01 tff(3481,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 1.03/1.01 inference(transitivity,[status(thm)],[3480, 3478])).
% 1.03/1.01 tff(3482,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3483,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 1.03/1.01 tff(3484,plain,
% 1.03/1.01 ((~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)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3483, 965, 3477])).
% 1.03/1.01 tff(3485,plain,
% 1.03/1.01 (m_main_v_state1(s38, c_c1)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3484, 3473, 3386, 3350, 3469, 3458])).
% 1.03/1.01 tff(3486,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3487,plain,
% 1.03/1.01 ((~![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)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3488,plain,
% 1.03/1.01 ((~![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))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 1.03/1.01 tff(3489,plain,
% 1.03/1.01 (~m_main_v_state1(s38, c_n1)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3488, 449, 3485])).
% 1.03/1.01 tff(3490,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3491,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3492,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 1.03/1.01 tff(3493,plain,
% 1.03/1.01 (~node11(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3492, 361, 3489])).
% 1.03/1.01 tff(3494,plain,
% 1.03/1.01 (succ(s38, s39) <=> succ(s38, s39)),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3495,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 1.03/1.01 tff(3496,plain,
% 1.03/1.01 (succ(s38, s39)),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 1.03/1.01 tff(3497,plain,
% 1.03/1.01 (((~![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))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3498,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3499,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 1.03/1.01 tff(3500,plain,
% 1.03/1.01 (trans(s38, s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3499, 3496, 57])).
% 1.03/1.01 tff(3501,plain,
% 1.03/1.01 (((~![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))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3502,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3503,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 1.03/1.01 tff(3504,plain,
% 1.03/1.01 (node14(s38, s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3503, 130, 3500])).
% 1.03/1.01 tff(3505,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3506,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3507,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3506, 3505])).
% 1.03/1.01 tff(3508,plain,
% 1.03/1.01 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3507, 401, 3504])).
% 1.03/1.01 tff(3509,plain,
% 1.03/1.01 (node13(s38, s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3508, 3493, 3450, 3446, 3442, 3438, 3421])).
% 1.03/1.01 tff(3510,plain,
% 1.03/1.01 (((~![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(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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3511,plain,
% 1.03/1.01 (((~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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3512,plain,
% 1.03/1.01 (((~![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))))),
% 1.03/1.01 inference(monotonicity,[status(thm)],[3511])).
% 1.03/1.01 tff(3513,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(transitivity,[status(thm)],[3512, 3510])).
% 1.03/1.01 tff(3514,plain,
% 1.03/1.01 ((~![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)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3515,plain,
% 1.03/1.01 ((~![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(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 1.03/1.01 tff(3516,plain,
% 1.03/1.01 (~m_main_v_state2(s39, c_n2)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3515, 416, 3434, 3509])).
% 1.03/1.01 tff(3517,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3518,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3519,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 1.03/1.01 tff(3520,plain,
% 1.03/1.01 (~node9(s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3519, 311, 3516])).
% 1.03/1.01 tff(3521,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3522,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3523,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 1.03/1.01 tff(3524,plain,
% 1.03/1.01 (~node10(s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3523, 372, 3516])).
% 1.03/1.01 tff(3525,plain,
% 1.03/1.01 (((~![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(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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3526,plain,
% 1.03/1.01 (((~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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3527,plain,
% 1.03/1.01 (((~![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))))),
% 1.03/1.01 inference(monotonicity,[status(thm)],[3526])).
% 1.03/1.01 tff(3528,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(transitivity,[status(thm)],[3527, 3525])).
% 1.03/1.01 tff(3529,plain,
% 1.03/1.01 ((~![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))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3530,plain,
% 1.03/1.01 ((~![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(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 1.03/1.01 tff(3531,plain,
% 1.03/1.01 (m_main_v_state2(s39, c_t2)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3530, 563, 3430, 3509])).
% 1.03/1.01 tff(3532,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3533,plain,
% 1.03/1.01 ((~![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)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3534,plain,
% 1.03/1.01 ((~![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))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3533, 3532])).
% 1.03/1.01 tff(3535,plain,
% 1.03/1.01 (~m_main_v_state1(s38, c_t1)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3534, 289, 3485])).
% 1.03/1.01 tff(3536,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3537,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3538,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3537, 3536])).
% 1.03/1.01 tff(3539,plain,
% 1.03/1.01 (~node5(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3538, 300, 3535])).
% 1.03/1.01 tff(3540,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3541,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3542,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 1.03/1.01 tff(3543,plain,
% 1.03/1.01 (~node4(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3542, 162, 3434])).
% 1.03/1.01 tff(3544,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3545,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3546,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3545, 3544])).
% 1.03/1.01 tff(3547,plain,
% 1.03/1.01 (~node3(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3546, 184, 3450])).
% 1.03/1.01 tff(3548,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3549,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3550,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 1.03/1.01 tff(3551,plain,
% 1.03/1.01 (~node2(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3550, 195, 3434])).
% 1.03/1.01 tff(3552,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3553,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3554,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 1.03/1.01 tff(3555,plain,
% 1.03/1.01 (~node1(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3554, 249, 3489])).
% 1.03/1.01 tff(3556,plain,
% 1.03/1.01 (((~![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))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3557,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3558,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 1.03/1.01 tff(3559,plain,
% 1.03/1.01 (node7(s38, s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3558, 217, 3500])).
% 1.03/1.01 tff(3560,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3561,plain,
% 1.03/1.01 (((~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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3562,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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))))),
% 1.03/1.01 inference(monotonicity,[status(thm)],[3561])).
% 1.03/1.01 tff(3563,plain,
% 1.03/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(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)))),
% 1.03/1.01 inference(transitivity,[status(thm)],[3562, 3560])).
% 1.03/1.01 tff(3564,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3565,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3564, 3563])).
% 1.03/1.01 tff(3566,plain,
% 1.03/1.01 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3565, 478, 3559])).
% 1.03/1.01 tff(3567,plain,
% 1.03/1.01 (m_main_v_state1(s39, c_n1)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3566, 3555, 3485, 3551, 3547, 3543, 3539])).
% 1.03/1.01 tff(3568,plain,
% 1.03/1.01 (((~![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)))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3569,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3570,plain,
% 1.03/1.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3569, 3568])).
% 1.03/1.01 tff(3571,plain,
% 1.03/1.01 (~node8(s39)),
% 1.03/1.01 inference(unit_resolution,[status(thm)],[3570, 383, 3516])).
% 1.03/1.01 tff(3572,plain,
% 1.03/1.01 (succ(s39, s40) <=> succ(s39, s40)),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3573,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 1.03/1.01 tff(3574,plain,
% 1.03/1.01 (succ(s39, s40)),
% 1.03/1.01 inference(modus_ponens,[status(thm)],[3573, 3572])).
% 1.03/1.01 tff(3575,plain,
% 1.03/1.01 (((~![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))),
% 1.03/1.01 inference(rewrite,[status(thm)],[])).
% 1.03/1.01 tff(3576,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 1.03/1.01 inference(quant_inst,[status(thm)],[])).
% 1.03/1.01 tff(3577,plain,
% 1.03/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 1.03/1.02 tff(3578,plain,
% 1.03/1.02 (trans(s39, s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3577, 3574, 57])).
% 1.03/1.02 tff(3579,plain,
% 1.03/1.02 (((~![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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3580,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3581,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3580, 3579])).
% 1.03/1.02 tff(3582,plain,
% 1.03/1.02 (node14(s39, s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3581, 130, 3578])).
% 1.03/1.02 tff(3583,plain,
% 1.03/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3584,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(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))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3585,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(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)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3584, 3583])).
% 1.03/1.02 tff(3586,plain,
% 1.03/1.02 ((~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)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3585, 704, 3582])).
% 1.03/1.02 tff(3587,plain,
% 1.03/1.02 (m_main_v_state2(s40, c_c2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3586, 3571, 3567, 3531, 3524, 3520])).
% 1.03/1.02 tff(3588,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3589,plain,
% 1.03/1.02 ((~![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)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3590,plain,
% 1.03/1.02 ((~![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))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 1.03/1.02 tff(3591,plain,
% 1.03/1.02 (~m_main_v_state2(s40, c_t2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3590, 173, 3587])).
% 1.03/1.02 tff(3592,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3593,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3594,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 1.03/1.02 tff(3595,plain,
% 1.03/1.02 (~node12(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3594, 778, 3591])).
% 1.03/1.02 tff(3596,plain,
% 1.03/1.02 (((~![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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3597,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3598,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3597, 3596])).
% 1.03/1.02 tff(3599,plain,
% 1.03/1.02 (node7(s39, s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3598, 217, 3578])).
% 1.03/1.02 tff(3600,plain,
% 1.03/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3601,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3602,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 1.03/1.02 tff(3603,plain,
% 1.03/1.02 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3602, 598, 3599])).
% 1.03/1.02 tff(3604,plain,
% 1.03/1.02 (m_main_v_state1(s40, c_t1)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3603, 3531, 3567])).
% 1.03/1.02 tff(3605,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3606,plain,
% 1.03/1.02 ((~![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)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3607,plain,
% 1.03/1.02 ((~![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))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 1.03/1.02 tff(3608,plain,
% 1.03/1.02 (~m_main_v_state1(s40, c_n1)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3607, 35, 3604])).
% 1.03/1.02 tff(3609,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3610,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3611,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 1.03/1.02 tff(3612,plain,
% 1.03/1.02 (~node11(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3611, 361, 3608])).
% 1.03/1.02 tff(3613,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3614,plain,
% 1.03/1.02 ((~![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)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3615,plain,
% 1.03/1.02 ((~![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))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 1.03/1.02 tff(3616,plain,
% 1.03/1.02 (~m_main_v_state1(s40, c_c1)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3615, 289, 3604])).
% 1.03/1.02 tff(3617,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3618,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3619,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 1.03/1.02 tff(3620,plain,
% 1.03/1.02 (~node10(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3619, 793, 3616])).
% 1.03/1.02 tff(3621,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3622,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3623,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 1.03/1.02 tff(3624,plain,
% 1.03/1.02 (~node9(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3623, 804, 3608])).
% 1.03/1.02 tff(3625,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3626,plain,
% 1.03/1.02 ((~![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)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3627,plain,
% 1.03/1.02 ((~![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))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 1.03/1.02 tff(3628,plain,
% 1.03/1.02 (~m_main_v_state2(s40, c_n2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3627, 716, 3587])).
% 1.03/1.02 tff(3629,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3630,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3631,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 1.03/1.02 tff(3632,plain,
% 1.03/1.02 (~node8(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3631, 383, 3628])).
% 1.03/1.02 tff(3633,plain,
% 1.03/1.02 (succ(s40, s41) <=> succ(s40, s41)),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3634,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 1.03/1.02 tff(3635,plain,
% 1.03/1.02 (succ(s40, s41)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 1.03/1.02 tff(3636,plain,
% 1.03/1.02 (((~![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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3637,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3638,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 1.03/1.02 tff(3639,plain,
% 1.03/1.02 (trans(s40, s41)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3638, 3635, 57])).
% 1.03/1.02 tff(3640,plain,
% 1.03/1.02 (((~![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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3641,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3642,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3641, 3640])).
% 1.03/1.02 tff(3643,plain,
% 1.03/1.02 (node14(s40, s41)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3642, 130, 3639])).
% 1.03/1.02 tff(3644,plain,
% 1.03/1.02 (((~![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(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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3645,plain,
% 1.03/1.02 (((~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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3646,plain,
% 1.03/1.02 (((~![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(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))))),
% 1.03/1.02 inference(monotonicity,[status(thm)],[3645])).
% 1.03/1.02 tff(3647,plain,
% 1.03/1.02 (((~![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(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)))),
% 1.03/1.02 inference(transitivity,[status(thm)],[3646, 3644])).
% 1.03/1.02 tff(3648,plain,
% 1.03/1.02 ((~![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(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3649,plain,
% 1.03/1.02 ((~![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(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3648, 3647])).
% 1.03/1.02 tff(3650,plain,
% 1.03/1.02 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3649, 826, 3643])).
% 1.03/1.02 tff(3651,plain,
% 1.03/1.02 (m_main_v_state2(s41, c_n2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3650, 3632, 3587, 3624, 3620, 3612, 3595])).
% 1.03/1.02 tff(3652,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3653,plain,
% 1.03/1.02 ((~![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)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3654,plain,
% 1.03/1.02 ((~![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))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 1.03/1.02 tff(3655,plain,
% 1.03/1.02 (~m_main_v_state2(s41, c_c2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3654, 716, 3651])).
% 1.03/1.02 tff(3656,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3657,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3658,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 1.03/1.02 tff(3659,plain,
% 1.03/1.02 (~node3(s41)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3658, 184, 3655])).
% 1.03/1.02 tff(3660,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3661,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3662,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 1.03/1.02 tff(3663,plain,
% 1.03/1.02 (~node1(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3662, 249, 3608])).
% 1.03/1.02 tff(3664,plain,
% 1.03/1.02 (((~![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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3665,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3666,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 1.03/1.02 tff(3667,plain,
% 1.03/1.02 (node18(s39, s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3666, 71, 3578])).
% 1.03/1.02 tff(3668,plain,
% 1.03/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3669,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3670,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3669, 3668])).
% 1.03/1.02 tff(3671,plain,
% 1.03/1.02 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3670, 625, 3667])).
% 1.03/1.02 tff(3672,plain,
% 1.03/1.02 (m_main_v_turn(s40, c_2)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3671, 3531, 3567])).
% 1.03/1.02 tff(3673,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3674,plain,
% 1.03/1.02 ((~![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)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3675,plain,
% 1.03/1.02 ((~![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))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 1.03/1.02 tff(3676,plain,
% 1.03/1.02 (~m_main_v_turn(s40, c_1)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3675, 322, 3672])).
% 1.03/1.02 tff(3677,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3678,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3679,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 1.03/1.02 tff(3680,plain,
% 1.03/1.02 (~node5(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3679, 641, 3676])).
% 1.03/1.02 tff(3681,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3682,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3683,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 1.03/1.02 tff(3684,plain,
% 1.03/1.02 (~node2(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3683, 652, 3608])).
% 1.03/1.02 tff(3685,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3686,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3687,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 1.03/1.02 tff(3688,plain,
% 1.03/1.02 (~node3(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3687, 663, 3608])).
% 1.03/1.02 tff(3689,plain,
% 1.03/1.02 (((~![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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3690,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3691,plain,
% 1.03/1.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 1.03/1.02 tff(3692,plain,
% 1.03/1.02 (~node4(s40)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3691, 162, 3628])).
% 1.03/1.02 tff(3693,plain,
% 1.03/1.02 (((~![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))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3694,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3695,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 1.03/1.02 tff(3696,plain,
% 1.03/1.02 (node7(s40, s41)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3695, 217, 3639])).
% 1.03/1.02 tff(3697,plain,
% 1.03/1.02 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3698,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 1.03/1.02 inference(quant_inst,[status(thm)],[])).
% 1.03/1.02 tff(3699,plain,
% 1.03/1.02 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41))),
% 1.03/1.02 inference(modus_ponens,[status(thm)],[3698, 3697])).
% 1.03/1.02 tff(3700,plain,
% 1.03/1.02 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3699, 745, 3696])).
% 1.03/1.02 tff(3701,plain,
% 1.03/1.02 (node6(s40, s41)),
% 1.03/1.02 inference(unit_resolution,[status(thm)],[3700, 3692, 3616, 3688, 3684, 3680, 3663])).
% 1.03/1.02 tff(3702,plain,
% 1.03/1.02 (((~![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(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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3703,plain,
% 1.03/1.02 (((~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)))),
% 1.03/1.02 inference(rewrite,[status(thm)],[])).
% 1.03/1.02 tff(3704,plain,
% 1.03/1.02 (((~![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))))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[3703])).
% 1.03/1.03 tff(3705,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(transitivity,[status(thm)],[3704, 3702])).
% 1.03/1.03 tff(3706,plain,
% 1.03/1.03 ((~![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)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3707,plain,
% 1.03/1.03 ((~![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(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 1.03/1.03 tff(3708,plain,
% 1.03/1.03 (~m_main_v_state1(s41, c_n1)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3707, 936, 3608, 3701])).
% 1.03/1.03 tff(3709,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3710,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3711,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 1.03/1.03 tff(3712,plain,
% 1.03/1.03 (~node2(s41)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3711, 652, 3708])).
% 1.03/1.03 tff(3713,plain,
% 1.03/1.03 (((~![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(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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3714,plain,
% 1.03/1.03 (((~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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3715,plain,
% 1.03/1.03 (((~![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))))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[3714])).
% 1.03/1.03 tff(3716,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(transitivity,[status(thm)],[3715, 3713])).
% 1.03/1.03 tff(3717,plain,
% 1.03/1.03 ((~![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))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3718,plain,
% 1.03/1.03 ((~![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(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 1.03/1.03 tff(3719,plain,
% 1.03/1.03 (m_main_v_state1(s41, c_t1)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3718, 760, 3604, 3701])).
% 1.03/1.03 tff(3720,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3721,plain,
% 1.03/1.03 ((~![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)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3722,plain,
% 1.03/1.03 ((~![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))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 1.03/1.03 tff(3723,plain,
% 1.03/1.03 (~m_main_v_state2(s41, c_t2)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3722, 10, 3651])).
% 1.03/1.03 tff(3724,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3725,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3726,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3725, 3724])).
% 1.03/1.03 tff(3727,plain,
% 1.03/1.03 (~node1(s41)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3726, 206, 3723])).
% 1.03/1.03 tff(3728,plain,
% 1.03/1.03 (succ(s41, s42) <=> succ(s41, s42)),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3729,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 1.03/1.03 tff(3730,plain,
% 1.03/1.03 (succ(s41, s42)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 1.03/1.03 tff(3731,plain,
% 1.03/1.03 (((~![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))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3732,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3733,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3732, 3731])).
% 1.03/1.03 tff(3734,plain,
% 1.03/1.03 (trans(s41, s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3733, 3730, 57])).
% 1.03/1.03 tff(3735,plain,
% 1.03/1.03 (((~![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))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3736,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3737,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 1.03/1.03 tff(3738,plain,
% 1.03/1.03 (node7(s41, s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3737, 217, 3734])).
% 1.03/1.03 tff(3739,plain,
% 1.03/1.03 (((~![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(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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3740,plain,
% 1.03/1.03 (((~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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3741,plain,
% 1.03/1.03 (((~![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(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))))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[3740])).
% 1.03/1.03 tff(3742,plain,
% 1.03/1.03 (((~![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(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)))),
% 1.03/1.03 inference(transitivity,[status(thm)],[3741, 3739])).
% 1.03/1.03 tff(3743,plain,
% 1.03/1.03 ((~![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(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))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3744,plain,
% 1.03/1.03 ((~![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(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))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 1.03/1.03 tff(3745,plain,
% 1.03/1.03 ((~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)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3744, 965, 3738])).
% 1.03/1.03 tff(3746,plain,
% 1.03/1.03 (m_main_v_state1(s42, c_c1)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3745, 3727, 3651, 3719, 3712, 3659])).
% 1.03/1.03 tff(3747,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3748,plain,
% 1.03/1.03 ((~![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)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3749,plain,
% 1.03/1.03 ((~![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))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3748, 3747])).
% 1.03/1.03 tff(3750,plain,
% 1.03/1.03 (~m_main_v_state1(s42, c_t1)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3749, 289, 3746])).
% 1.03/1.03 tff(3751,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3752,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3753,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3752, 3751])).
% 1.03/1.03 tff(3754,plain,
% 1.03/1.03 (~node5(s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3753, 300, 3750])).
% 1.03/1.03 tff(3755,plain,
% 1.03/1.03 (((~![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))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3756,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3757,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3756, 3755])).
% 1.03/1.03 tff(3758,plain,
% 1.03/1.03 (node14(s41, s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3757, 130, 3734])).
% 1.03/1.03 tff(3759,plain,
% 1.03/1.03 (((~![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(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))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3760,plain,
% 1.03/1.03 ((~![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(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3761,plain,
% 1.03/1.03 ((~![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(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3760, 3759])).
% 1.03/1.03 tff(3762,plain,
% 1.03/1.03 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3761, 893, 3758])).
% 1.03/1.03 tff(3763,plain,
% 1.03/1.03 (m_main_v_state2(s42, c_t2)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3762, 3719, 3651])).
% 1.03/1.03 tff(3764,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3765,plain,
% 1.03/1.03 ((~![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)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3766,plain,
% 1.03/1.03 ((~![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))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 1.03/1.03 tff(3767,plain,
% 1.03/1.03 (~m_main_v_state2(s42, c_n2)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3766, 10, 3763])).
% 1.03/1.03 tff(3768,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3769,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3770,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 1.03/1.03 tff(3771,plain,
% 1.03/1.03 (~node4(s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3770, 162, 3767])).
% 1.03/1.03 tff(3772,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3773,plain,
% 1.03/1.03 ((~![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)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3774,plain,
% 1.03/1.03 ((~![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))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 1.03/1.03 tff(3775,plain,
% 1.03/1.03 (~m_main_v_state2(s42, c_c2)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3774, 173, 3763])).
% 1.03/1.03 tff(3776,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3777,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3778,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 1.03/1.03 tff(3779,plain,
% 1.03/1.03 (~node3(s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3778, 184, 3775])).
% 1.03/1.03 tff(3780,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3781,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3782,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 1.03/1.03 tff(3783,plain,
% 1.03/1.03 (~node2(s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3782, 195, 3767])).
% 1.03/1.03 tff(3784,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3785,plain,
% 1.03/1.03 ((~![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)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3786,plain,
% 1.03/1.03 ((~![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))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 1.03/1.03 tff(3787,plain,
% 1.03/1.03 (~m_main_v_state1(s42, c_n1)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3786, 449, 3746])).
% 1.03/1.03 tff(3788,plain,
% 1.03/1.03 (((~![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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3789,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3790,plain,
% 1.03/1.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 1.03/1.03 tff(3791,plain,
% 1.03/1.03 (~node1(s42)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3790, 249, 3787])).
% 1.03/1.03 tff(3792,plain,
% 1.03/1.03 (succ(s42, s43) <=> succ(s42, s43)),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3793,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 1.03/1.03 tff(3794,plain,
% 1.03/1.03 (succ(s42, s43)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 1.03/1.03 tff(3795,plain,
% 1.03/1.03 (((~![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))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3796,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3797,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 1.03/1.03 tff(3798,plain,
% 1.03/1.03 (trans(s42, s43)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3797, 3794, 57])).
% 1.03/1.03 tff(3799,plain,
% 1.03/1.03 (((~![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))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3800,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 1.03/1.03 inference(quant_inst,[status(thm)],[])).
% 1.03/1.03 tff(3801,plain,
% 1.03/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 1.03/1.03 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 1.03/1.03 tff(3802,plain,
% 1.03/1.03 (node7(s42, s43)),
% 1.03/1.03 inference(unit_resolution,[status(thm)],[3801, 217, 3798])).
% 1.03/1.03 tff(3803,plain,
% 1.03/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3804,plain,
% 1.03/1.03 (((~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)))),
% 1.03/1.03 inference(rewrite,[status(thm)],[])).
% 1.03/1.03 tff(3805,plain,
% 1.03/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 1.03/1.03 inference(monotonicity,[status(thm)],[3804])).
% 1.03/1.03 tff(3806,plain,
% 1.03/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 1.03/1.04 inference(transitivity,[status(thm)],[3805, 3803])).
% 1.03/1.04 tff(3807,plain,
% 1.03/1.04 ((~![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(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3808,plain,
% 1.03/1.04 ((~![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(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 1.03/1.04 tff(3809,plain,
% 1.03/1.04 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3808, 478, 3802])).
% 1.03/1.04 tff(3810,plain,
% 1.03/1.04 (m_main_v_state1(s43, c_n1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3809, 3791, 3746, 3783, 3779, 3771, 3754])).
% 1.03/1.04 tff(3811,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3812,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3813,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 1.03/1.04 tff(3814,plain,
% 1.03/1.04 (~node15(s41)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3813, 21, 3723])).
% 1.03/1.04 tff(3815,plain,
% 1.03/1.04 (((~![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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3816,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3817,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 1.03/1.04 tff(3818,plain,
% 1.03/1.04 (node18(s41, s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3817, 71, 3734])).
% 1.03/1.04 tff(3819,plain,
% 1.03/1.04 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3820,plain,
% 1.03/1.04 (((~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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3821,plain,
% 1.03/1.04 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.03/1.04 inference(monotonicity,[status(thm)],[3820])).
% 1.03/1.04 tff(3822,plain,
% 1.03/1.04 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.03/1.04 inference(transitivity,[status(thm)],[3821, 3819])).
% 1.03/1.04 tff(3823,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3824,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3823, 3822])).
% 1.03/1.04 tff(3825,plain,
% 1.03/1.04 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3824, 863, 3818])).
% 1.03/1.04 tff(3826,plain,
% 1.03/1.04 (m_main_v_turn(s42, c_1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3825, 3814, 3651, 3719])).
% 1.03/1.04 tff(3827,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3828,plain,
% 1.03/1.04 ((~![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)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3829,plain,
% 1.03/1.04 ((~![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))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 1.03/1.04 tff(3830,plain,
% 1.03/1.04 (~m_main_v_turn(s42, c_2)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3829, 322, 3826])).
% 1.03/1.04 tff(3831,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3832,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3833,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 1.03/1.04 tff(3834,plain,
% 1.03/1.04 (~node12(s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3833, 350, 3830])).
% 1.03/1.04 tff(3835,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3836,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3837,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 1.03/1.04 tff(3838,plain,
% 1.03/1.04 (~node8(s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3837, 383, 3767])).
% 1.03/1.04 tff(3839,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3840,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3841,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3840, 3839])).
% 1.03/1.04 tff(3842,plain,
% 1.03/1.04 (~node9(s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3841, 311, 3767])).
% 1.03/1.04 tff(3843,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3844,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3845,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3844, 3843])).
% 1.03/1.04 tff(3846,plain,
% 1.03/1.04 (~node10(s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3845, 372, 3767])).
% 1.03/1.04 tff(3847,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3848,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3849,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3848, 3847])).
% 1.03/1.04 tff(3850,plain,
% 1.03/1.04 (~node11(s42)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3849, 361, 3787])).
% 1.03/1.04 tff(3851,plain,
% 1.03/1.04 (((~![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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3852,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3853,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 1.03/1.04 tff(3854,plain,
% 1.03/1.04 (node14(s42, s43)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3853, 130, 3798])).
% 1.03/1.04 tff(3855,plain,
% 1.03/1.04 (((~![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(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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3856,plain,
% 1.03/1.04 ((~![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(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3857,plain,
% 1.03/1.04 ((~![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(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3856, 3855])).
% 1.03/1.04 tff(3858,plain,
% 1.03/1.04 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3857, 401, 3854])).
% 1.03/1.04 tff(3859,plain,
% 1.03/1.04 (node13(s42, s43)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3858, 3850, 3775, 3846, 3842, 3838, 3834])).
% 1.03/1.04 tff(3860,plain,
% 1.03/1.04 (((~![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(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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3861,plain,
% 1.03/1.04 (((~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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3862,plain,
% 1.03/1.04 (((~![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))))),
% 1.03/1.04 inference(monotonicity,[status(thm)],[3861])).
% 1.03/1.04 tff(3863,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(transitivity,[status(thm)],[3862, 3860])).
% 1.03/1.04 tff(3864,plain,
% 1.03/1.04 ((~![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))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3865,plain,
% 1.03/1.04 ((~![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(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3864, 3863])).
% 1.03/1.04 tff(3866,plain,
% 1.03/1.04 (m_main_v_state2(s43, c_t2)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3865, 563, 3763, 3859])).
% 1.03/1.04 tff(3867,plain,
% 1.03/1.04 (succ(s43, s44) <=> succ(s43, s44)),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3868,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 1.03/1.04 tff(3869,plain,
% 1.03/1.04 (succ(s43, s44)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 1.03/1.04 tff(3870,plain,
% 1.03/1.04 (((~![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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3871,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3872,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 1.03/1.04 tff(3873,plain,
% 1.03/1.04 (trans(s43, s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3872, 3869, 57])).
% 1.03/1.04 tff(3874,plain,
% 1.03/1.04 (((~![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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3875,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3876,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 1.03/1.04 tff(3877,plain,
% 1.03/1.04 (node7(s43, s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3876, 217, 3873])).
% 1.03/1.04 tff(3878,plain,
% 1.03/1.04 (((~![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(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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3879,plain,
% 1.03/1.04 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3880,plain,
% 1.03/1.04 ((~![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(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 1.03/1.04 tff(3881,plain,
% 1.03/1.04 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3880, 598, 3877])).
% 1.03/1.04 tff(3882,plain,
% 1.03/1.04 (m_main_v_state1(s44, c_t1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3881, 3866, 3810])).
% 1.03/1.04 tff(3883,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3884,plain,
% 1.03/1.04 ((~![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)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3885,plain,
% 1.03/1.04 ((~![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))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 1.03/1.04 tff(3886,plain,
% 1.03/1.04 (~m_main_v_state1(s44, c_n1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3885, 35, 3882])).
% 1.03/1.04 tff(3887,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3888,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3889,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 1.03/1.04 tff(3890,plain,
% 1.03/1.04 (~node1(s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3889, 249, 3886])).
% 1.03/1.04 tff(3891,plain,
% 1.03/1.04 (((~![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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3892,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3893,plain,
% 1.03/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 1.03/1.04 tff(3894,plain,
% 1.03/1.04 (node18(s43, s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3893, 71, 3873])).
% 1.03/1.04 tff(3895,plain,
% 1.03/1.04 (((~![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))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3896,plain,
% 1.03/1.04 ((~![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))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3897,plain,
% 1.03/1.04 ((~![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)),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3896, 3895])).
% 1.03/1.04 tff(3898,plain,
% 1.03/1.04 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3897, 625, 3894])).
% 1.03/1.04 tff(3899,plain,
% 1.03/1.04 (m_main_v_turn(s44, c_2)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3898, 3866, 3810])).
% 1.03/1.04 tff(3900,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3901,plain,
% 1.03/1.04 ((~![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)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3902,plain,
% 1.03/1.04 ((~![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))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 1.03/1.04 tff(3903,plain,
% 1.03/1.04 (~m_main_v_turn(s44, c_1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3902, 322, 3899])).
% 1.03/1.04 tff(3904,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3905,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3906,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 1.03/1.04 tff(3907,plain,
% 1.03/1.04 (~node5(s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3906, 641, 3903])).
% 1.03/1.04 tff(3908,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3909,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3910,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3909, 3908])).
% 1.03/1.04 tff(3911,plain,
% 1.03/1.04 (~node2(s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3910, 652, 3886])).
% 1.03/1.04 tff(3912,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3913,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3914,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3913, 3912])).
% 1.03/1.04 tff(3915,plain,
% 1.03/1.04 (~node3(s44)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3914, 663, 3886])).
% 1.03/1.04 tff(3916,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3917,plain,
% 1.03/1.04 ((~![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)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3918,plain,
% 1.03/1.04 ((~![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))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 1.03/1.04 tff(3919,plain,
% 1.03/1.04 (~m_main_v_state1(s44, c_c1)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3918, 289, 3882])).
% 1.03/1.04 tff(3920,plain,
% 1.03/1.04 (((~![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(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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3921,plain,
% 1.03/1.04 (((~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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3922,plain,
% 1.03/1.04 (((~![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))))),
% 1.03/1.04 inference(monotonicity,[status(thm)],[3921])).
% 1.03/1.04 tff(3923,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(transitivity,[status(thm)],[3922, 3920])).
% 1.03/1.04 tff(3924,plain,
% 1.03/1.04 ((~![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)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3925,plain,
% 1.03/1.04 ((~![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(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 1.03/1.04 tff(3926,plain,
% 1.03/1.04 (~m_main_v_state2(s43, c_n2)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3925, 416, 3767, 3859])).
% 1.03/1.04 tff(3927,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.04 inference(rewrite,[status(thm)],[])).
% 1.03/1.04 tff(3928,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 1.03/1.04 inference(quant_inst,[status(thm)],[])).
% 1.03/1.04 tff(3929,plain,
% 1.03/1.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 1.03/1.04 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 1.03/1.04 tff(3930,plain,
% 1.03/1.04 (~node9(s43)),
% 1.03/1.04 inference(unit_resolution,[status(thm)],[3929, 311, 3926])).
% 1.03/1.04 tff(3931,plain,
% 1.03/1.04 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3932,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3933,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 1.03/1.05 tff(3934,plain,
% 1.03/1.05 (~node10(s43)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3933, 372, 3926])).
% 1.03/1.05 tff(3935,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3936,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3937,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 1.03/1.05 tff(3938,plain,
% 1.03/1.05 (~node8(s43)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3937, 383, 3926])).
% 1.03/1.05 tff(3939,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3940,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3941,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 1.03/1.05 tff(3942,plain,
% 1.03/1.05 (node14(s43, s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3941, 130, 3873])).
% 1.03/1.05 tff(3943,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3944,plain,
% 1.03/1.05 ((~![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))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3945,plain,
% 1.03/1.05 ((~![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)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 1.03/1.05 tff(3946,plain,
% 1.03/1.05 ((~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)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3945, 704, 3942])).
% 1.03/1.05 tff(3947,plain,
% 1.03/1.05 (m_main_v_state2(s44, c_c2)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3946, 3938, 3810, 3866, 3934, 3930])).
% 1.03/1.05 tff(3948,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3949,plain,
% 1.03/1.05 ((~![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)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3950,plain,
% 1.03/1.05 ((~![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))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 1.03/1.05 tff(3951,plain,
% 1.03/1.05 (~m_main_v_state2(s44, c_n2)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3950, 716, 3947])).
% 1.03/1.05 tff(3952,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3953,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3954,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3953, 3952])).
% 1.03/1.05 tff(3955,plain,
% 1.03/1.05 (~node4(s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3954, 162, 3951])).
% 1.03/1.05 tff(3956,plain,
% 1.03/1.05 (succ(s44, s45) <=> succ(s44, s45)),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3957,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 1.03/1.05 tff(3958,plain,
% 1.03/1.05 (succ(s44, s45)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3957, 3956])).
% 1.03/1.05 tff(3959,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3960,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3961,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3960, 3959])).
% 1.03/1.05 tff(3962,plain,
% 1.03/1.05 (trans(s44, s45)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3961, 3958, 57])).
% 1.03/1.05 tff(3963,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3964,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3965,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 1.03/1.05 tff(3966,plain,
% 1.03/1.05 (node7(s44, s45)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3965, 217, 3962])).
% 1.03/1.05 tff(3967,plain,
% 1.03/1.05 (((~![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(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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3968,plain,
% 1.03/1.05 ((~![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(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3969,plain,
% 1.03/1.05 ((~![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(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 1.03/1.05 tff(3970,plain,
% 1.03/1.05 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3969, 745, 3966])).
% 1.03/1.05 tff(3971,plain,
% 1.03/1.05 (node6(s44, s45)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3970, 3955, 3919, 3915, 3911, 3907, 3890])).
% 1.03/1.05 tff(3972,plain,
% 1.03/1.05 (((~![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(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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3973,plain,
% 1.03/1.05 (((~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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3974,plain,
% 1.03/1.05 (((~![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))))),
% 1.03/1.05 inference(monotonicity,[status(thm)],[3973])).
% 1.03/1.05 tff(3975,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(transitivity,[status(thm)],[3974, 3972])).
% 1.03/1.05 tff(3976,plain,
% 1.03/1.05 ((~![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))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3977,plain,
% 1.03/1.05 ((~![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(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 1.03/1.05 tff(3978,plain,
% 1.03/1.05 (m_main_v_state1(s45, c_t1)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3977, 760, 3882, 3971])).
% 1.03/1.05 tff(3979,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3980,plain,
% 1.03/1.05 ((~![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)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3981,plain,
% 1.03/1.05 ((~![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))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3980, 3979])).
% 1.03/1.05 tff(3982,plain,
% 1.03/1.05 (~m_main_v_state2(s44, c_t2)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3981, 173, 3947])).
% 1.03/1.05 tff(3983,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3984,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3985,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 1.03/1.05 tff(3986,plain,
% 1.03/1.05 (~node12(s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3985, 778, 3982])).
% 1.03/1.05 tff(3987,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3988,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3989,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 1.03/1.05 tff(3990,plain,
% 1.03/1.05 (~node11(s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3989, 361, 3886])).
% 1.03/1.05 tff(3991,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3992,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3993,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 1.03/1.05 tff(3994,plain,
% 1.03/1.05 (~node10(s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3993, 793, 3919])).
% 1.03/1.05 tff(3995,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(3996,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(3997,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 1.03/1.05 tff(3998,plain,
% 1.03/1.05 (~node9(s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[3997, 804, 3886])).
% 1.03/1.05 tff(3999,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4000,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4001,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 1.03/1.05 tff(4002,plain,
% 1.03/1.05 (~node8(s44)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4001, 383, 3951])).
% 1.03/1.05 tff(4003,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4004,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4005,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 1.03/1.05 tff(4006,plain,
% 1.03/1.05 (node14(s44, s45)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4005, 130, 3962])).
% 1.03/1.05 tff(4007,plain,
% 1.03/1.05 (((~![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(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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4008,plain,
% 1.03/1.05 (((~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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4009,plain,
% 1.03/1.05 (((~![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(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))))),
% 1.03/1.05 inference(monotonicity,[status(thm)],[4008])).
% 1.03/1.05 tff(4010,plain,
% 1.03/1.05 (((~![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(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)))),
% 1.03/1.05 inference(transitivity,[status(thm)],[4009, 4007])).
% 1.03/1.05 tff(4011,plain,
% 1.03/1.05 ((~![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(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4012,plain,
% 1.03/1.05 ((~![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(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 1.03/1.05 tff(4013,plain,
% 1.03/1.05 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4012, 826, 4006])).
% 1.03/1.05 tff(4014,plain,
% 1.03/1.05 (m_main_v_state2(s45, c_n2)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4013, 4002, 3947, 3998, 3994, 3990, 3986])).
% 1.03/1.05 tff(4015,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4016,plain,
% 1.03/1.05 ((~![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)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4017,plain,
% 1.03/1.05 ((~![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))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 1.03/1.05 tff(4018,plain,
% 1.03/1.05 (~m_main_v_state2(s45, c_t2)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4017, 10, 4014])).
% 1.03/1.05 tff(4019,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4020,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4021,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 1.03/1.05 tff(4022,plain,
% 1.03/1.05 (~node15(s45)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4021, 21, 4018])).
% 1.03/1.05 tff(4023,plain,
% 1.03/1.05 (succ(s45, s46) <=> succ(s45, s46)),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4024,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 1.03/1.05 tff(4025,plain,
% 1.03/1.05 (succ(s45, s46)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 1.03/1.05 tff(4026,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4027,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4028,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4027, 4026])).
% 1.03/1.05 tff(4029,plain,
% 1.03/1.05 (trans(s45, s46)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4028, 4025, 57])).
% 1.03/1.05 tff(4030,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4031,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4032,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 1.03/1.05 tff(4033,plain,
% 1.03/1.05 (node18(s45, s46)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4032, 71, 4029])).
% 1.03/1.05 tff(4034,plain,
% 1.03/1.05 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4035,plain,
% 1.03/1.05 (((~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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4036,plain,
% 1.03/1.05 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.03/1.05 inference(monotonicity,[status(thm)],[4035])).
% 1.03/1.05 tff(4037,plain,
% 1.03/1.05 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.03/1.05 inference(transitivity,[status(thm)],[4036, 4034])).
% 1.03/1.05 tff(4038,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4039,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 1.03/1.05 tff(4040,plain,
% 1.03/1.05 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4039, 863, 4033])).
% 1.03/1.05 tff(4041,plain,
% 1.03/1.05 (m_main_v_turn(s46, c_1)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4040, 4022, 4014, 3978])).
% 1.03/1.05 tff(4042,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4043,plain,
% 1.03/1.05 ((~![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)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4044,plain,
% 1.03/1.05 ((~![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))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 1.03/1.05 tff(4045,plain,
% 1.03/1.05 (~m_main_v_turn(s46, c_2)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4044, 322, 4041])).
% 1.03/1.05 tff(4046,plain,
% 1.03/1.05 (((~![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)))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4047,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4048,plain,
% 1.03/1.05 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4047, 4046])).
% 1.03/1.05 tff(4049,plain,
% 1.03/1.05 (~node12(s46)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4048, 350, 4045])).
% 1.03/1.05 tff(4050,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.05 inference(rewrite,[status(thm)],[])).
% 1.03/1.05 tff(4051,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 1.03/1.05 inference(quant_inst,[status(thm)],[])).
% 1.03/1.05 tff(4052,plain,
% 1.03/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 1.03/1.05 inference(modus_ponens,[status(thm)],[4051, 4050])).
% 1.03/1.05 tff(4053,plain,
% 1.03/1.05 (node14(s45, s46)),
% 1.03/1.05 inference(unit_resolution,[status(thm)],[4052, 130, 4029])).
% 1.03/1.05 tff(4054,plain,
% 1.03/1.05 (((~![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))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4055,plain,
% 1.03/1.06 ((~![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(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4056,plain,
% 1.03/1.06 ((~![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(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2)),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4055, 4054])).
% 1.03/1.06 tff(4057,plain,
% 1.03/1.06 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4056, 893, 4053])).
% 1.03/1.06 tff(4058,plain,
% 1.03/1.06 (m_main_v_state2(s46, c_t2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4057, 3978, 4014])).
% 1.03/1.06 tff(4059,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4060,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4061,plain,
% 1.03/1.06 ((~![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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4060, 4059])).
% 1.03/1.06 tff(4062,plain,
% 1.03/1.06 (~m_main_v_state2(s46, c_n2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4061, 10, 4058])).
% 1.03/1.06 tff(4063,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4064,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4065,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 1.03/1.06 tff(4066,plain,
% 1.03/1.06 (~node8(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4065, 383, 4062])).
% 1.03/1.06 tff(4067,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4068,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4069,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 1.03/1.06 tff(4070,plain,
% 1.03/1.06 (~node9(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4069, 311, 4062])).
% 1.03/1.06 tff(4071,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4072,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4073,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4072, 4071])).
% 1.03/1.06 tff(4074,plain,
% 1.03/1.06 (~node10(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4073, 372, 4062])).
% 1.03/1.06 tff(4075,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4076,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4077,plain,
% 1.03/1.06 ((~![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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4076, 4075])).
% 1.03/1.06 tff(4078,plain,
% 1.03/1.06 (~m_main_v_state2(s46, c_c2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4077, 173, 4058])).
% 1.03/1.06 tff(4079,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4080,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4081,plain,
% 1.03/1.06 ((~![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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4080, 4079])).
% 1.03/1.06 tff(4082,plain,
% 1.03/1.06 (~m_main_v_state2(s45, c_c2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4081, 716, 4014])).
% 1.03/1.06 tff(4083,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4084,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4085,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4084, 4083])).
% 1.03/1.06 tff(4086,plain,
% 1.03/1.06 (~node3(s45)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4085, 184, 4082])).
% 1.03/1.06 tff(4087,plain,
% 1.03/1.06 (((~![V: $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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4088,plain,
% 1.03/1.06 (((~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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4089,plain,
% 1.03/1.06 (((~![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))))),
% 1.03/1.06 inference(monotonicity,[status(thm)],[4088])).
% 1.03/1.06 tff(4090,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(transitivity,[status(thm)],[4089, 4087])).
% 1.03/1.06 tff(4091,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4092,plain,
% 1.03/1.06 ((~![V: $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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 1.03/1.06 tff(4093,plain,
% 1.03/1.06 (~m_main_v_state1(s45, c_n1)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4092, 936, 3886, 3971])).
% 1.03/1.06 tff(4094,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4095,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4096,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 1.03/1.06 tff(4097,plain,
% 1.03/1.06 (~node2(s45)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4096, 652, 4093])).
% 1.03/1.06 tff(4098,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4099,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4100,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 1.03/1.06 tff(4101,plain,
% 1.03/1.06 (~node1(s45)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4100, 206, 4018])).
% 1.03/1.06 tff(4102,plain,
% 1.03/1.06 (((~![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))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4103,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4104,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 1.03/1.06 tff(4105,plain,
% 1.03/1.06 (node7(s45, s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4104, 217, 4029])).
% 1.03/1.06 tff(4106,plain,
% 1.03/1.06 (((~![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(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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4107,plain,
% 1.03/1.06 (((~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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4108,plain,
% 1.03/1.06 (((~![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(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))))),
% 1.03/1.06 inference(monotonicity,[status(thm)],[4107])).
% 1.03/1.06 tff(4109,plain,
% 1.03/1.06 (((~![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(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)))),
% 1.03/1.06 inference(transitivity,[status(thm)],[4108, 4106])).
% 1.03/1.06 tff(4110,plain,
% 1.03/1.06 ((~![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(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))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4111,plain,
% 1.03/1.06 ((~![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(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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 1.03/1.06 tff(4112,plain,
% 1.03/1.06 ((~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)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4111, 965, 4105])).
% 1.03/1.06 tff(4113,plain,
% 1.03/1.06 (m_main_v_state1(s46, c_c1)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4112, 4101, 4014, 3978, 4097, 4086])).
% 1.03/1.06 tff(4114,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4115,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4116,plain,
% 1.03/1.06 ((~![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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 1.03/1.06 tff(4117,plain,
% 1.03/1.06 (~m_main_v_state1(s46, c_n1)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4116, 449, 4113])).
% 1.03/1.06 tff(4118,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4119,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4120,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4119, 4118])).
% 1.03/1.06 tff(4121,plain,
% 1.03/1.06 (~node11(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4120, 361, 4117])).
% 1.03/1.06 tff(4122,plain,
% 1.03/1.06 (succ(s46, s47) <=> succ(s46, s47)),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4123,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 1.03/1.06 tff(4124,plain,
% 1.03/1.06 (succ(s46, s47)),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 1.03/1.06 tff(4125,plain,
% 1.03/1.06 (((~![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))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4126,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4127,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 1.03/1.06 tff(4128,plain,
% 1.03/1.06 (trans(s46, s47)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4127, 4124, 57])).
% 1.03/1.06 tff(4129,plain,
% 1.03/1.06 (((~![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))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4130,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4131,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 1.03/1.06 tff(4132,plain,
% 1.03/1.06 (node14(s46, s47)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4131, 130, 4128])).
% 1.03/1.06 tff(4133,plain,
% 1.03/1.06 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4134,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4135,plain,
% 1.03/1.06 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 1.03/1.06 tff(4136,plain,
% 1.03/1.06 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4135, 401, 4132])).
% 1.03/1.06 tff(4137,plain,
% 1.03/1.06 (node13(s46, s47)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4136, 4121, 4078, 4074, 4070, 4066, 4049])).
% 1.03/1.06 tff(4138,plain,
% 1.03/1.06 (((~![V: $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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4139,plain,
% 1.03/1.06 (((~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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4140,plain,
% 1.03/1.06 (((~![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))))),
% 1.03/1.06 inference(monotonicity,[status(thm)],[4139])).
% 1.03/1.06 tff(4141,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(transitivity,[status(thm)],[4140, 4138])).
% 1.03/1.06 tff(4142,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4143,plain,
% 1.03/1.06 ((~![V: $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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 1.03/1.06 tff(4144,plain,
% 1.03/1.06 (~m_main_v_state2(s47, c_n2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4143, 416, 4062, 4137])).
% 1.03/1.06 tff(4145,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4146,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4147,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 1.03/1.06 tff(4148,plain,
% 1.03/1.06 (~node9(s47)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4147, 311, 4144])).
% 1.03/1.06 tff(4149,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4150,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4151,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 1.03/1.06 tff(4152,plain,
% 1.03/1.06 (~node10(s47)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4151, 372, 4144])).
% 1.03/1.06 tff(4153,plain,
% 1.03/1.06 (((~![V: $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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4154,plain,
% 1.03/1.06 (((~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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4155,plain,
% 1.03/1.06 (((~![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))))),
% 1.03/1.06 inference(monotonicity,[status(thm)],[4154])).
% 1.03/1.06 tff(4156,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(transitivity,[status(thm)],[4155, 4153])).
% 1.03/1.06 tff(4157,plain,
% 1.03/1.06 ((~![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))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4158,plain,
% 1.03/1.06 ((~![V: $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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 1.03/1.06 tff(4159,plain,
% 1.03/1.06 (m_main_v_state2(s47, c_t2)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4158, 563, 4058, 4137])).
% 1.03/1.06 tff(4160,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4161,plain,
% 1.03/1.06 ((~![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)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4162,plain,
% 1.03/1.06 ((~![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))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4161, 4160])).
% 1.03/1.06 tff(4163,plain,
% 1.03/1.06 (~m_main_v_state1(s46, c_t1)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4162, 289, 4113])).
% 1.03/1.06 tff(4164,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4165,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4166,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4165, 4164])).
% 1.03/1.06 tff(4167,plain,
% 1.03/1.06 (~node5(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4166, 300, 4163])).
% 1.03/1.06 tff(4168,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4169,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4170,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4169, 4168])).
% 1.03/1.06 tff(4171,plain,
% 1.03/1.06 (~node4(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4170, 162, 4062])).
% 1.03/1.06 tff(4172,plain,
% 1.03/1.06 (((~![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)))),
% 1.03/1.06 inference(rewrite,[status(thm)],[])).
% 1.03/1.06 tff(4173,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 1.03/1.06 inference(quant_inst,[status(thm)],[])).
% 1.03/1.06 tff(4174,plain,
% 1.03/1.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 1.03/1.06 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 1.03/1.06 tff(4175,plain,
% 1.03/1.06 (~node3(s46)),
% 1.03/1.06 inference(unit_resolution,[status(thm)],[4174, 184, 4078])).
% 1.03/1.07 tff(4176,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4177,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4178,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4177, 4176])).
% 1.03/1.07 tff(4179,plain,
% 1.03/1.07 (~node2(s46)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4178, 195, 4062])).
% 1.03/1.07 tff(4180,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4181,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4182,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 1.03/1.07 tff(4183,plain,
% 1.03/1.07 (~node1(s46)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4182, 249, 4117])).
% 1.03/1.07 tff(4184,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4185,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4186,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 1.03/1.07 tff(4187,plain,
% 1.03/1.07 (node7(s46, s47)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4186, 217, 4128])).
% 1.03/1.07 tff(4188,plain,
% 1.03/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4189,plain,
% 1.03/1.07 (((~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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4190,plain,
% 1.03/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 1.03/1.07 inference(monotonicity,[status(thm)],[4189])).
% 1.03/1.07 tff(4191,plain,
% 1.03/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 1.03/1.07 inference(transitivity,[status(thm)],[4190, 4188])).
% 1.03/1.07 tff(4192,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4193,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 1.03/1.07 tff(4194,plain,
% 1.03/1.07 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4193, 478, 4187])).
% 1.03/1.07 tff(4195,plain,
% 1.03/1.07 (m_main_v_state1(s47, c_n1)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4194, 4183, 4113, 4179, 4175, 4171, 4167])).
% 1.03/1.07 tff(4196,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4197,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4198,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4197, 4196])).
% 1.03/1.07 tff(4199,plain,
% 1.03/1.07 (~node8(s47)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4198, 383, 4144])).
% 1.03/1.07 tff(4200,plain,
% 1.03/1.07 (succ(s47, s48) <=> succ(s47, s48)),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4201,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 1.03/1.07 tff(4202,plain,
% 1.03/1.07 (succ(s47, s48)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4201, 4200])).
% 1.03/1.07 tff(4203,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4204,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4205,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4204, 4203])).
% 1.03/1.07 tff(4206,plain,
% 1.03/1.07 (trans(s47, s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4205, 4202, 57])).
% 1.03/1.07 tff(4207,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4208,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4209,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4208, 4207])).
% 1.03/1.07 tff(4210,plain,
% 1.03/1.07 (node14(s47, s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4209, 130, 4206])).
% 1.03/1.07 tff(4211,plain,
% 1.03/1.07 (((~![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(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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4212,plain,
% 1.03/1.07 ((~![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(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))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4213,plain,
% 1.03/1.07 ((~![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(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)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4212, 4211])).
% 1.03/1.07 tff(4214,plain,
% 1.03/1.07 ((~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)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4213, 704, 4210])).
% 1.03/1.07 tff(4215,plain,
% 1.03/1.07 (m_main_v_state2(s48, c_c2)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4214, 4199, 4195, 4159, 4152, 4148])).
% 1.03/1.07 tff(4216,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4217,plain,
% 1.03/1.07 ((~![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)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4218,plain,
% 1.03/1.07 ((~![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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 1.03/1.07 tff(4219,plain,
% 1.03/1.07 (~m_main_v_state2(s48, c_t2)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4218, 173, 4215])).
% 1.03/1.07 tff(4220,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4221,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4222,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 1.03/1.07 tff(4223,plain,
% 1.03/1.07 (~node12(s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4222, 778, 4219])).
% 1.03/1.07 tff(4224,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4225,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4226,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4225, 4224])).
% 1.03/1.07 tff(4227,plain,
% 1.03/1.07 (node7(s47, s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4226, 217, 4206])).
% 1.03/1.07 tff(4228,plain,
% 1.03/1.07 (((~![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(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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4229,plain,
% 1.03/1.07 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4230,plain,
% 1.03/1.07 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 1.03/1.07 tff(4231,plain,
% 1.03/1.07 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4230, 598, 4227])).
% 1.03/1.07 tff(4232,plain,
% 1.03/1.07 (m_main_v_state1(s48, c_t1)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4231, 4159, 4195])).
% 1.03/1.07 tff(4233,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4234,plain,
% 1.03/1.07 ((~![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)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4235,plain,
% 1.03/1.07 ((~![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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 1.03/1.07 tff(4236,plain,
% 1.03/1.07 (~m_main_v_state1(s48, c_n1)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4235, 35, 4232])).
% 1.03/1.07 tff(4237,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4238,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4239,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 1.03/1.07 tff(4240,plain,
% 1.03/1.07 (~node11(s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4239, 361, 4236])).
% 1.03/1.07 tff(4241,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4242,plain,
% 1.03/1.07 ((~![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)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4243,plain,
% 1.03/1.07 ((~![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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 1.03/1.07 tff(4244,plain,
% 1.03/1.07 (~m_main_v_state1(s48, c_c1)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4243, 289, 4232])).
% 1.03/1.07 tff(4245,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4246,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4247,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 1.03/1.07 tff(4248,plain,
% 1.03/1.07 (~node10(s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4247, 793, 4244])).
% 1.03/1.07 tff(4249,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4250,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4251,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 1.03/1.07 tff(4252,plain,
% 1.03/1.07 (~node9(s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4251, 804, 4236])).
% 1.03/1.07 tff(4253,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4254,plain,
% 1.03/1.07 ((~![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)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4255,plain,
% 1.03/1.07 ((~![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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 1.03/1.07 tff(4256,plain,
% 1.03/1.07 (~m_main_v_state2(s48, c_n2)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4255, 716, 4215])).
% 1.03/1.07 tff(4257,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4258,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4259,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 1.03/1.07 tff(4260,plain,
% 1.03/1.07 (~node8(s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4259, 383, 4256])).
% 1.03/1.07 tff(4261,plain,
% 1.03/1.07 (succ(s48, s49) <=> succ(s48, s49)),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4262,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 1.03/1.07 tff(4263,plain,
% 1.03/1.07 (succ(s48, s49)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 1.03/1.07 tff(4264,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4265,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4266,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 1.03/1.07 tff(4267,plain,
% 1.03/1.07 (trans(s48, s49)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4266, 4263, 57])).
% 1.03/1.07 tff(4268,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4269,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4270,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 1.03/1.07 tff(4271,plain,
% 1.03/1.07 (node14(s48, s49)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4270, 130, 4267])).
% 1.03/1.07 tff(4272,plain,
% 1.03/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4273,plain,
% 1.03/1.07 (((~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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4274,plain,
% 1.03/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 1.03/1.07 inference(monotonicity,[status(thm)],[4273])).
% 1.03/1.07 tff(4275,plain,
% 1.03/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 1.03/1.07 inference(transitivity,[status(thm)],[4274, 4272])).
% 1.03/1.07 tff(4276,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4277,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4276, 4275])).
% 1.03/1.07 tff(4278,plain,
% 1.03/1.07 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4277, 826, 4271])).
% 1.03/1.07 tff(4279,plain,
% 1.03/1.07 (m_main_v_state2(s49, c_n2)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4278, 4260, 4215, 4252, 4248, 4240, 4223])).
% 1.03/1.07 tff(4280,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4281,plain,
% 1.03/1.07 ((~![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)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4282,plain,
% 1.03/1.07 ((~![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))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 1.03/1.07 tff(4283,plain,
% 1.03/1.07 (~m_main_v_state2(s49, c_c2)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4282, 716, 4279])).
% 1.03/1.07 tff(4284,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4285,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4286,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 1.03/1.07 tff(4287,plain,
% 1.03/1.07 (~node3(s49)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4286, 184, 4283])).
% 1.03/1.07 tff(4288,plain,
% 1.03/1.07 (((~![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)))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4289,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4290,plain,
% 1.03/1.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4289, 4288])).
% 1.03/1.07 tff(4291,plain,
% 1.03/1.07 (~node1(s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4290, 249, 4236])).
% 1.03/1.07 tff(4292,plain,
% 1.03/1.07 (((~![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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4293,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4294,plain,
% 1.03/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 1.03/1.07 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 1.03/1.07 tff(4295,plain,
% 1.03/1.07 (node18(s47, s48)),
% 1.03/1.07 inference(unit_resolution,[status(thm)],[4294, 71, 4206])).
% 1.03/1.07 tff(4296,plain,
% 1.03/1.07 (((~![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(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))),
% 1.03/1.07 inference(rewrite,[status(thm)],[])).
% 1.03/1.07 tff(4297,plain,
% 1.03/1.07 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 1.03/1.07 inference(quant_inst,[status(thm)],[])).
% 1.03/1.07 tff(4298,plain,
% 1.03/1.07 ((~![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(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2)),
% 1.03/1.08 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 1.03/1.08 tff(4299,plain,
% 1.03/1.08 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4298, 625, 4295])).
% 1.03/1.08 tff(4300,plain,
% 1.03/1.08 (m_main_v_turn(s48, c_2)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4299, 4159, 4195])).
% 1.03/1.08 tff(4301,plain,
% 1.03/1.08 (((~![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)))),
% 1.03/1.08 inference(rewrite,[status(thm)],[])).
% 1.03/1.08 tff(4302,plain,
% 1.03/1.08 ((~![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)))),
% 1.03/1.08 inference(quant_inst,[status(thm)],[])).
% 1.03/1.08 tff(4303,plain,
% 1.03/1.08 ((~![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))),
% 1.03/1.08 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 1.03/1.08 tff(4304,plain,
% 1.03/1.08 (~m_main_v_turn(s48, c_1)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4303, 322, 4300])).
% 1.03/1.08 tff(4305,plain,
% 1.03/1.08 (((~![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)))),
% 1.03/1.08 inference(rewrite,[status(thm)],[])).
% 1.03/1.08 tff(4306,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 1.03/1.08 inference(quant_inst,[status(thm)],[])).
% 1.03/1.08 tff(4307,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 1.03/1.08 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 1.03/1.08 tff(4308,plain,
% 1.03/1.08 (~node5(s48)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4307, 641, 4304])).
% 1.03/1.08 tff(4309,plain,
% 1.03/1.08 (((~![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)))),
% 1.03/1.08 inference(rewrite,[status(thm)],[])).
% 1.03/1.08 tff(4310,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 1.03/1.08 inference(quant_inst,[status(thm)],[])).
% 1.03/1.08 tff(4311,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 1.03/1.08 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 1.03/1.08 tff(4312,plain,
% 1.03/1.08 (~node2(s48)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4311, 652, 4236])).
% 1.03/1.08 tff(4313,plain,
% 1.03/1.08 (((~![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)))),
% 1.03/1.08 inference(rewrite,[status(thm)],[])).
% 1.03/1.08 tff(4314,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 1.03/1.08 inference(quant_inst,[status(thm)],[])).
% 1.03/1.08 tff(4315,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 1.03/1.08 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 1.03/1.08 tff(4316,plain,
% 1.03/1.08 (~node3(s48)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4315, 663, 4236])).
% 1.03/1.08 tff(4317,plain,
% 1.03/1.08 (((~![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)))),
% 1.03/1.08 inference(rewrite,[status(thm)],[])).
% 1.03/1.08 tff(4318,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 1.03/1.08 inference(quant_inst,[status(thm)],[])).
% 1.03/1.08 tff(4319,plain,
% 1.03/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 1.03/1.08 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 1.03/1.08 tff(4320,plain,
% 1.03/1.08 (~node4(s48)),
% 1.03/1.08 inference(unit_resolution,[status(thm)],[4319, 162, 4256])).
% 1.10/1.08 tff(4321,plain,
% 1.10/1.08 (((~![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))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4322,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4323,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4322, 4321])).
% 1.10/1.08 tff(4324,plain,
% 1.10/1.08 (node7(s48, s49)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4323, 217, 4267])).
% 1.10/1.08 tff(4325,plain,
% 1.10/1.08 (((~![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(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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4326,plain,
% 1.10/1.08 ((~![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(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4327,plain,
% 1.10/1.08 ((~![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(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 1.10/1.08 tff(4328,plain,
% 1.10/1.08 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4327, 745, 4324])).
% 1.10/1.08 tff(4329,plain,
% 1.10/1.08 (node6(s48, s49)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4328, 4320, 4244, 4316, 4312, 4308, 4291])).
% 1.10/1.08 tff(4330,plain,
% 1.10/1.08 (((~![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(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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4331,plain,
% 1.10/1.08 (((~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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4332,plain,
% 1.10/1.08 (((~![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))))),
% 1.10/1.08 inference(monotonicity,[status(thm)],[4331])).
% 1.10/1.08 tff(4333,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(transitivity,[status(thm)],[4332, 4330])).
% 1.10/1.08 tff(4334,plain,
% 1.10/1.08 ((~![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)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4335,plain,
% 1.10/1.08 ((~![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(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 1.10/1.08 tff(4336,plain,
% 1.10/1.08 (~m_main_v_state1(s49, c_n1)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4335, 936, 4236, 4329])).
% 1.10/1.08 tff(4337,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4338,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4339,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 1.10/1.08 tff(4340,plain,
% 1.10/1.08 (~node2(s49)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4339, 652, 4336])).
% 1.10/1.08 tff(4341,plain,
% 1.10/1.08 (((~![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(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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4342,plain,
% 1.10/1.08 (((~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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4343,plain,
% 1.10/1.08 (((~![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))))),
% 1.10/1.08 inference(monotonicity,[status(thm)],[4342])).
% 1.10/1.08 tff(4344,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(transitivity,[status(thm)],[4343, 4341])).
% 1.10/1.08 tff(4345,plain,
% 1.10/1.08 ((~![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))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4346,plain,
% 1.10/1.08 ((~![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(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 1.10/1.08 tff(4347,plain,
% 1.10/1.08 (m_main_v_state1(s49, c_t1)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4346, 760, 4232, 4329])).
% 1.10/1.08 tff(4348,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4349,plain,
% 1.10/1.08 ((~![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)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4350,plain,
% 1.10/1.08 ((~![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))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4349, 4348])).
% 1.10/1.08 tff(4351,plain,
% 1.10/1.08 (~m_main_v_state2(s49, c_t2)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4350, 10, 4279])).
% 1.10/1.08 tff(4352,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4353,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4354,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 1.10/1.08 tff(4355,plain,
% 1.10/1.08 (~node1(s49)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4354, 206, 4351])).
% 1.10/1.08 tff(4356,plain,
% 1.10/1.08 (succ(s49, s50) <=> succ(s49, s50)),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4357,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 1.10/1.08 tff(4358,plain,
% 1.10/1.08 (succ(s49, s50)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 1.10/1.08 tff(4359,plain,
% 1.10/1.08 (((~![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))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4360,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4361,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 1.10/1.08 tff(4362,plain,
% 1.10/1.08 (trans(s49, s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4361, 4358, 57])).
% 1.10/1.08 tff(4363,plain,
% 1.10/1.08 (((~![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))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4364,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4365,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4364, 4363])).
% 1.10/1.08 tff(4366,plain,
% 1.10/1.08 (node7(s49, s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4365, 217, 4362])).
% 1.10/1.08 tff(4367,plain,
% 1.10/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4368,plain,
% 1.10/1.08 (((~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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4369,plain,
% 1.10/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))))),
% 1.10/1.08 inference(monotonicity,[status(thm)],[4368])).
% 1.10/1.08 tff(4370,plain,
% 1.10/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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)))),
% 1.10/1.08 inference(transitivity,[status(thm)],[4369, 4367])).
% 1.10/1.08 tff(4371,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(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))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4372,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(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))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 1.10/1.08 tff(4373,plain,
% 1.10/1.08 ((~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)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4372, 965, 4366])).
% 1.10/1.08 tff(4374,plain,
% 1.10/1.08 (m_main_v_state1(s50, c_c1)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4373, 4355, 4279, 4347, 4340, 4287])).
% 1.10/1.08 tff(4375,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4376,plain,
% 1.10/1.08 ((~![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)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4377,plain,
% 1.10/1.08 ((~![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))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 1.10/1.08 tff(4378,plain,
% 1.10/1.08 (~m_main_v_state1(s50, c_t1)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4377, 289, 4374])).
% 1.10/1.08 tff(4379,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4380,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4381,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 1.10/1.08 tff(4382,plain,
% 1.10/1.08 (~node5(s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4381, 300, 4378])).
% 1.10/1.08 tff(4383,plain,
% 1.10/1.08 (((~![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))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4384,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4385,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4384, 4383])).
% 1.10/1.08 tff(4386,plain,
% 1.10/1.08 (node14(s49, s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4385, 130, 4362])).
% 1.10/1.08 tff(4387,plain,
% 1.10/1.08 (((~![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(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))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4388,plain,
% 1.10/1.08 ((~![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(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4389,plain,
% 1.10/1.08 ((~![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(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 1.10/1.08 tff(4390,plain,
% 1.10/1.08 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4389, 893, 4386])).
% 1.10/1.08 tff(4391,plain,
% 1.10/1.08 (m_main_v_state2(s50, c_t2)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4390, 4347, 4279])).
% 1.10/1.08 tff(4392,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4393,plain,
% 1.10/1.08 ((~![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)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4394,plain,
% 1.10/1.08 ((~![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))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4393, 4392])).
% 1.10/1.08 tff(4395,plain,
% 1.10/1.08 (~m_main_v_state2(s50, c_n2)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4394, 10, 4391])).
% 1.10/1.08 tff(4396,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4397,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4398,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4397, 4396])).
% 1.10/1.08 tff(4399,plain,
% 1.10/1.08 (~node4(s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4398, 162, 4395])).
% 1.10/1.08 tff(4400,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4401,plain,
% 1.10/1.08 ((~![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)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4402,plain,
% 1.10/1.08 ((~![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))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4401, 4400])).
% 1.10/1.08 tff(4403,plain,
% 1.10/1.08 (~m_main_v_state2(s50, c_c2)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4402, 173, 4391])).
% 1.10/1.08 tff(4404,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4405,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4406,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 1.10/1.08 tff(4407,plain,
% 1.10/1.08 (~node3(s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4406, 184, 4403])).
% 1.10/1.08 tff(4408,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4409,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4410,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 1.10/1.08 tff(4411,plain,
% 1.10/1.08 (~node2(s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4410, 195, 4395])).
% 1.10/1.08 tff(4412,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4413,plain,
% 1.10/1.08 ((~![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)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4414,plain,
% 1.10/1.08 ((~![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))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 1.10/1.08 tff(4415,plain,
% 1.10/1.08 (~m_main_v_state1(s50, c_n1)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4414, 449, 4374])).
% 1.10/1.08 tff(4416,plain,
% 1.10/1.08 (((~![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)))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4417,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4418,plain,
% 1.10/1.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 1.10/1.08 tff(4419,plain,
% 1.10/1.08 (~node1(s50)),
% 1.10/1.08 inference(unit_resolution,[status(thm)],[4418, 249, 4415])).
% 1.10/1.08 tff(4420,plain,
% 1.10/1.08 (succ(s50, s51) <=> succ(s50, s51)),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4421,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 1.10/1.08 tff(4422,plain,
% 1.10/1.08 (succ(s50, s51)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4421, 4420])).
% 1.10/1.08 tff(4423,plain,
% 1.10/1.08 (((~![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))),
% 1.10/1.08 inference(rewrite,[status(thm)],[])).
% 1.10/1.08 tff(4424,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 1.10/1.08 inference(quant_inst,[status(thm)],[])).
% 1.10/1.08 tff(4425,plain,
% 1.10/1.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 1.10/1.08 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 1.10/1.08 tff(4426,plain,
% 1.10/1.09 (trans(s50, s51)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4425, 4422, 57])).
% 1.10/1.09 tff(4427,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4428,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4429,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 1.10/1.09 tff(4430,plain,
% 1.10/1.09 (node7(s50, s51)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4429, 217, 4426])).
% 1.10/1.09 tff(4431,plain,
% 1.10/1.09 (((~![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(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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4432,plain,
% 1.10/1.09 (((~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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4433,plain,
% 1.10/1.09 (((~![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(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))))),
% 1.10/1.09 inference(monotonicity,[status(thm)],[4432])).
% 1.10/1.09 tff(4434,plain,
% 1.10/1.09 (((~![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(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)))),
% 1.10/1.09 inference(transitivity,[status(thm)],[4433, 4431])).
% 1.10/1.09 tff(4435,plain,
% 1.10/1.09 ((~![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(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4436,plain,
% 1.10/1.09 ((~![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(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 1.10/1.09 tff(4437,plain,
% 1.10/1.09 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4436, 478, 4430])).
% 1.10/1.09 tff(4438,plain,
% 1.10/1.09 (m_main_v_state1(s51, c_n1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4437, 4419, 4374, 4411, 4407, 4399, 4382])).
% 1.10/1.09 tff(4439,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4440,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4441,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 1.10/1.09 tff(4442,plain,
% 1.10/1.09 (~node15(s49)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4441, 21, 4351])).
% 1.10/1.09 tff(4443,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4444,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4445,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 1.10/1.09 tff(4446,plain,
% 1.10/1.09 (node18(s49, s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4445, 71, 4362])).
% 1.10/1.09 tff(4447,plain,
% 1.10/1.09 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4448,plain,
% 1.10/1.09 (((~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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4449,plain,
% 1.10/1.09 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.10/1.09 inference(monotonicity,[status(thm)],[4448])).
% 1.10/1.09 tff(4450,plain,
% 1.10/1.09 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.09 inference(transitivity,[status(thm)],[4449, 4447])).
% 1.10/1.09 tff(4451,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4452,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4451, 4450])).
% 1.10/1.09 tff(4453,plain,
% 1.10/1.09 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4452, 863, 4446])).
% 1.10/1.09 tff(4454,plain,
% 1.10/1.09 (m_main_v_turn(s50, c_1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4453, 4442, 4279, 4347])).
% 1.10/1.09 tff(4455,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4456,plain,
% 1.10/1.09 ((~![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)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4457,plain,
% 1.10/1.09 ((~![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))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 1.10/1.09 tff(4458,plain,
% 1.10/1.09 (~m_main_v_turn(s50, c_2)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4457, 322, 4454])).
% 1.10/1.09 tff(4459,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4460,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4461,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 1.10/1.09 tff(4462,plain,
% 1.10/1.09 (~node12(s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4461, 350, 4458])).
% 1.10/1.09 tff(4463,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4464,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4465,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 1.10/1.09 tff(4466,plain,
% 1.10/1.09 (~node8(s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4465, 383, 4395])).
% 1.10/1.09 tff(4467,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4468,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4469,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4468, 4467])).
% 1.10/1.09 tff(4470,plain,
% 1.10/1.09 (~node9(s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4469, 311, 4395])).
% 1.10/1.09 tff(4471,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4472,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4473,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 1.10/1.09 tff(4474,plain,
% 1.10/1.09 (~node10(s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4473, 372, 4395])).
% 1.10/1.09 tff(4475,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4476,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4477,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 1.10/1.09 tff(4478,plain,
% 1.10/1.09 (~node11(s50)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4477, 361, 4415])).
% 1.10/1.09 tff(4479,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4480,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4481,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 1.10/1.09 tff(4482,plain,
% 1.10/1.09 (node14(s50, s51)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4481, 130, 4426])).
% 1.10/1.09 tff(4483,plain,
% 1.10/1.09 (((~![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(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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4484,plain,
% 1.10/1.09 ((~![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(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4485,plain,
% 1.10/1.09 ((~![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(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4484, 4483])).
% 1.10/1.09 tff(4486,plain,
% 1.10/1.09 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4485, 401, 4482])).
% 1.10/1.09 tff(4487,plain,
% 1.10/1.09 (node13(s50, s51)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4486, 4478, 4403, 4474, 4470, 4466, 4462])).
% 1.10/1.09 tff(4488,plain,
% 1.10/1.09 (((~![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(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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4489,plain,
% 1.10/1.09 (((~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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4490,plain,
% 1.10/1.09 (((~![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))))),
% 1.10/1.09 inference(monotonicity,[status(thm)],[4489])).
% 1.10/1.09 tff(4491,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(transitivity,[status(thm)],[4490, 4488])).
% 1.10/1.09 tff(4492,plain,
% 1.10/1.09 ((~![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))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4493,plain,
% 1.10/1.09 ((~![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(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 1.10/1.09 tff(4494,plain,
% 1.10/1.09 (m_main_v_state2(s51, c_t2)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4493, 563, 4391, 4487])).
% 1.10/1.09 tff(4495,plain,
% 1.10/1.09 (succ(s51, s52) <=> succ(s51, s52)),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4496,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 1.10/1.09 tff(4497,plain,
% 1.10/1.09 (succ(s51, s52)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 1.10/1.09 tff(4498,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4499,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4500,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 1.10/1.09 tff(4501,plain,
% 1.10/1.09 (trans(s51, s52)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4500, 4497, 57])).
% 1.10/1.09 tff(4502,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4503,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4504,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 1.10/1.09 tff(4505,plain,
% 1.10/1.09 (node7(s51, s52)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4504, 217, 4501])).
% 1.10/1.09 tff(4506,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4507,plain,
% 1.10/1.09 ((~![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))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4508,plain,
% 1.10/1.09 ((~![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)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 1.10/1.09 tff(4509,plain,
% 1.10/1.09 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4508, 598, 4505])).
% 1.10/1.09 tff(4510,plain,
% 1.10/1.09 (m_main_v_state1(s52, c_t1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4509, 4494, 4438])).
% 1.10/1.09 tff(4511,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4512,plain,
% 1.10/1.09 ((~![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)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4513,plain,
% 1.10/1.09 ((~![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))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 1.10/1.09 tff(4514,plain,
% 1.10/1.09 (~m_main_v_state1(s52, c_n1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4513, 35, 4510])).
% 1.10/1.09 tff(4515,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4516,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4517,plain,
% 1.10/1.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4516, 4515])).
% 1.10/1.09 tff(4518,plain,
% 1.10/1.09 (~node1(s52)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4517, 249, 4514])).
% 1.10/1.09 tff(4519,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4520,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4521,plain,
% 1.10/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 1.10/1.09 tff(4522,plain,
% 1.10/1.09 (node18(s51, s52)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4521, 71, 4501])).
% 1.10/1.09 tff(4523,plain,
% 1.10/1.09 (((~![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))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4524,plain,
% 1.10/1.09 ((~![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))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4525,plain,
% 1.10/1.09 ((~![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)),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 1.10/1.09 tff(4526,plain,
% 1.10/1.09 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4525, 625, 4522])).
% 1.10/1.09 tff(4527,plain,
% 1.10/1.09 (m_main_v_turn(s52, c_2)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4526, 4494, 4438])).
% 1.10/1.09 tff(4528,plain,
% 1.10/1.09 (((~![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)))),
% 1.10/1.09 inference(rewrite,[status(thm)],[])).
% 1.10/1.09 tff(4529,plain,
% 1.10/1.09 ((~![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)))),
% 1.10/1.09 inference(quant_inst,[status(thm)],[])).
% 1.10/1.09 tff(4530,plain,
% 1.10/1.09 ((~![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))),
% 1.10/1.09 inference(modus_ponens,[status(thm)],[4529, 4528])).
% 1.10/1.09 tff(4531,plain,
% 1.10/1.09 (~m_main_v_turn(s52, c_1)),
% 1.10/1.09 inference(unit_resolution,[status(thm)],[4530, 322, 4527])).
% 1.10/1.10 tff(4532,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4533,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4534,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4533, 4532])).
% 1.10/1.10 tff(4535,plain,
% 1.10/1.10 (~node5(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4534, 641, 4531])).
% 1.10/1.10 tff(4536,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4537,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4538,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 1.10/1.10 tff(4539,plain,
% 1.10/1.10 (~node2(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4538, 652, 4514])).
% 1.10/1.10 tff(4540,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4541,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4542,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4541, 4540])).
% 1.10/1.10 tff(4543,plain,
% 1.10/1.10 (~node3(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4542, 663, 4514])).
% 1.10/1.10 tff(4544,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4545,plain,
% 1.10/1.10 ((~![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)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4546,plain,
% 1.10/1.10 ((~![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))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4545, 4544])).
% 1.10/1.10 tff(4547,plain,
% 1.10/1.10 (~m_main_v_state1(s52, c_c1)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4546, 289, 4510])).
% 1.10/1.10 tff(4548,plain,
% 1.10/1.10 (((~![V: $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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4549,plain,
% 1.10/1.10 (((~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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4550,plain,
% 1.10/1.10 (((~![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))))),
% 1.10/1.10 inference(monotonicity,[status(thm)],[4549])).
% 1.10/1.10 tff(4551,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(transitivity,[status(thm)],[4550, 4548])).
% 1.10/1.10 tff(4552,plain,
% 1.10/1.10 ((~![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)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4553,plain,
% 1.10/1.10 ((~![V: $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))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 1.10/1.10 tff(4554,plain,
% 1.10/1.10 (~m_main_v_state2(s51, c_n2)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4553, 416, 4395, 4487])).
% 1.10/1.10 tff(4555,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4556,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4557,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 1.10/1.10 tff(4558,plain,
% 1.10/1.10 (~node9(s51)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4557, 311, 4554])).
% 1.10/1.10 tff(4559,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4560,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4561,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 1.10/1.10 tff(4562,plain,
% 1.10/1.10 (~node10(s51)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4561, 372, 4554])).
% 1.10/1.10 tff(4563,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4564,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4565,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 1.10/1.10 tff(4566,plain,
% 1.10/1.10 (~node8(s51)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4565, 383, 4554])).
% 1.10/1.10 tff(4567,plain,
% 1.10/1.10 (((~![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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4568,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4569,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 1.10/1.10 tff(4570,plain,
% 1.10/1.10 (node14(s51, s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4569, 130, 4501])).
% 1.10/1.10 tff(4571,plain,
% 1.10/1.10 (((~![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(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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4572,plain,
% 1.10/1.10 ((~![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(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))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4573,plain,
% 1.10/1.10 ((~![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(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)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 1.10/1.10 tff(4574,plain,
% 1.10/1.10 ((~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)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4573, 704, 4570])).
% 1.10/1.10 tff(4575,plain,
% 1.10/1.10 (m_main_v_state2(s52, c_c2)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4574, 4566, 4438, 4494, 4562, 4558])).
% 1.10/1.10 tff(4576,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4577,plain,
% 1.10/1.10 ((~![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)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4578,plain,
% 1.10/1.10 ((~![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))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 1.10/1.10 tff(4579,plain,
% 1.10/1.10 (~m_main_v_state2(s52, c_n2)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4578, 716, 4575])).
% 1.10/1.10 tff(4580,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4581,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4582,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 1.10/1.10 tff(4583,plain,
% 1.10/1.10 (~node4(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4582, 162, 4579])).
% 1.10/1.10 tff(4584,plain,
% 1.10/1.10 (succ(s52, s53) <=> succ(s52, s53)),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4585,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 1.10/1.10 tff(4586,plain,
% 1.10/1.10 (succ(s52, s53)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 1.10/1.10 tff(4587,plain,
% 1.10/1.10 (((~![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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4588,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4589,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 1.10/1.10 tff(4590,plain,
% 1.10/1.10 (trans(s52, s53)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4589, 4586, 57])).
% 1.10/1.10 tff(4591,plain,
% 1.10/1.10 (((~![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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4592,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4593,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 1.10/1.10 tff(4594,plain,
% 1.10/1.10 (node7(s52, s53)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4593, 217, 4590])).
% 1.10/1.10 tff(4595,plain,
% 1.10/1.10 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4596,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4597,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 1.10/1.10 tff(4598,plain,
% 1.10/1.10 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4597, 745, 4594])).
% 1.10/1.10 tff(4599,plain,
% 1.10/1.10 (node6(s52, s53)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4598, 4583, 4547, 4543, 4539, 4535, 4518])).
% 1.10/1.10 tff(4600,plain,
% 1.10/1.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4601,plain,
% 1.10/1.10 (((~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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4602,plain,
% 1.10/1.10 (((~![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))))),
% 1.10/1.10 inference(monotonicity,[status(thm)],[4601])).
% 1.10/1.10 tff(4603,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(transitivity,[status(thm)],[4602, 4600])).
% 1.10/1.10 tff(4604,plain,
% 1.10/1.10 ((~![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))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4605,plain,
% 1.10/1.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 1.10/1.10 tff(4606,plain,
% 1.10/1.10 (m_main_v_state1(s53, c_t1)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4605, 760, 4510, 4599])).
% 1.10/1.10 tff(4607,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4608,plain,
% 1.10/1.10 ((~![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)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4609,plain,
% 1.10/1.10 ((~![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))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 1.10/1.10 tff(4610,plain,
% 1.10/1.10 (~m_main_v_state2(s52, c_t2)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4609, 173, 4575])).
% 1.10/1.10 tff(4611,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4612,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4613,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4612, 4611])).
% 1.10/1.10 tff(4614,plain,
% 1.10/1.10 (~node12(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4613, 778, 4610])).
% 1.10/1.10 tff(4615,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4616,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4617,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 1.10/1.10 tff(4618,plain,
% 1.10/1.10 (~node11(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4617, 361, 4514])).
% 1.10/1.10 tff(4619,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4620,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4621,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 1.10/1.10 tff(4622,plain,
% 1.10/1.10 (~node10(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4621, 793, 4547])).
% 1.10/1.10 tff(4623,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4624,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4625,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 1.10/1.10 tff(4626,plain,
% 1.10/1.10 (~node9(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4625, 804, 4514])).
% 1.10/1.10 tff(4627,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4628,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4629,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 1.10/1.10 tff(4630,plain,
% 1.10/1.10 (~node8(s52)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4629, 383, 4579])).
% 1.10/1.10 tff(4631,plain,
% 1.10/1.10 (((~![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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4632,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4633,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 1.10/1.10 tff(4634,plain,
% 1.10/1.10 (node14(s52, s53)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4633, 130, 4590])).
% 1.10/1.10 tff(4635,plain,
% 1.10/1.10 (((~![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(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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4636,plain,
% 1.10/1.10 (((~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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4637,plain,
% 1.10/1.10 (((~![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(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))))),
% 1.10/1.10 inference(monotonicity,[status(thm)],[4636])).
% 1.10/1.10 tff(4638,plain,
% 1.10/1.10 (((~![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(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)))),
% 1.10/1.10 inference(transitivity,[status(thm)],[4637, 4635])).
% 1.10/1.10 tff(4639,plain,
% 1.10/1.10 ((~![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(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4640,plain,
% 1.10/1.10 ((~![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(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 1.10/1.10 tff(4641,plain,
% 1.10/1.10 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4640, 826, 4634])).
% 1.10/1.10 tff(4642,plain,
% 1.10/1.10 (m_main_v_state2(s53, c_n2)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4641, 4630, 4575, 4626, 4622, 4618, 4614])).
% 1.10/1.10 tff(4643,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4644,plain,
% 1.10/1.10 ((~![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)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4645,plain,
% 1.10/1.10 ((~![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))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 1.10/1.10 tff(4646,plain,
% 1.10/1.10 (~m_main_v_state2(s53, c_t2)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4645, 10, 4642])).
% 1.10/1.10 tff(4647,plain,
% 1.10/1.10 (((~![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)))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4648,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4649,plain,
% 1.10/1.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 1.10/1.10 tff(4650,plain,
% 1.10/1.10 (~node15(s53)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4649, 21, 4646])).
% 1.10/1.10 tff(4651,plain,
% 1.10/1.10 (succ(s53, s54) <=> succ(s53, s54)),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4652,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 1.10/1.10 tff(4653,plain,
% 1.10/1.10 (succ(s53, s54)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 1.10/1.10 tff(4654,plain,
% 1.10/1.10 (((~![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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4655,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4656,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4655, 4654])).
% 1.10/1.10 tff(4657,plain,
% 1.10/1.10 (trans(s53, s54)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4656, 4653, 57])).
% 1.10/1.10 tff(4658,plain,
% 1.10/1.10 (((~![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))),
% 1.10/1.10 inference(rewrite,[status(thm)],[])).
% 1.10/1.10 tff(4659,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 1.10/1.10 inference(quant_inst,[status(thm)],[])).
% 1.10/1.10 tff(4660,plain,
% 1.10/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 1.10/1.10 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 1.10/1.10 tff(4661,plain,
% 1.10/1.10 (node18(s53, s54)),
% 1.10/1.10 inference(unit_resolution,[status(thm)],[4660, 71, 4657])).
% 1.10/1.10 tff(4662,plain,
% 1.10/1.10 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4663,plain,
% 1.10/1.11 (((~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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4664,plain,
% 1.10/1.11 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.10/1.11 inference(monotonicity,[status(thm)],[4663])).
% 1.10/1.11 tff(4665,plain,
% 1.10/1.11 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.11 inference(transitivity,[status(thm)],[4664, 4662])).
% 1.10/1.11 tff(4666,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4667,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 1.10/1.11 tff(4668,plain,
% 1.10/1.11 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4667, 863, 4661])).
% 1.10/1.11 tff(4669,plain,
% 1.10/1.11 (m_main_v_turn(s54, c_1)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4668, 4650, 4642, 4606])).
% 1.10/1.11 tff(4670,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4671,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4672,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 1.10/1.11 tff(4673,plain,
% 1.10/1.11 (~m_main_v_turn(s54, c_2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4672, 322, 4669])).
% 1.10/1.11 tff(4674,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4675,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4676,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 1.10/1.11 tff(4677,plain,
% 1.10/1.11 (~node12(s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4676, 350, 4673])).
% 1.10/1.11 tff(4678,plain,
% 1.10/1.11 (((~![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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4679,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4680,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 1.10/1.11 tff(4681,plain,
% 1.10/1.11 (node14(s53, s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4680, 130, 4657])).
% 1.10/1.11 tff(4682,plain,
% 1.10/1.11 (((~![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(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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4683,plain,
% 1.10/1.11 ((~![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(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4684,plain,
% 1.10/1.11 ((~![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(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 1.10/1.11 tff(4685,plain,
% 1.10/1.11 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4684, 893, 4681])).
% 1.10/1.11 tff(4686,plain,
% 1.10/1.11 (m_main_v_state2(s54, c_t2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4685, 4606, 4642])).
% 1.10/1.11 tff(4687,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4688,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4689,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 1.10/1.11 tff(4690,plain,
% 1.10/1.11 (~m_main_v_state2(s54, c_n2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4689, 10, 4686])).
% 1.10/1.11 tff(4691,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4692,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4693,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 1.10/1.11 tff(4694,plain,
% 1.10/1.11 (~node8(s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4693, 383, 4690])).
% 1.10/1.11 tff(4695,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4696,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4697,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 1.10/1.11 tff(4698,plain,
% 1.10/1.11 (~node9(s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4697, 311, 4690])).
% 1.10/1.11 tff(4699,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4700,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4701,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4700, 4699])).
% 1.10/1.11 tff(4702,plain,
% 1.10/1.11 (~node10(s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4701, 372, 4690])).
% 1.10/1.11 tff(4703,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4704,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4705,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 1.10/1.11 tff(4706,plain,
% 1.10/1.11 (~m_main_v_state2(s54, c_c2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4705, 173, 4686])).
% 1.10/1.11 tff(4707,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4708,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4709,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4708, 4707])).
% 1.10/1.11 tff(4710,plain,
% 1.10/1.11 (~m_main_v_state2(s53, c_c2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4709, 716, 4642])).
% 1.10/1.11 tff(4711,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4712,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4713,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 1.10/1.11 tff(4714,plain,
% 1.10/1.11 (~node3(s53)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4713, 184, 4710])).
% 1.10/1.11 tff(4715,plain,
% 1.10/1.11 (((~![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(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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4716,plain,
% 1.10/1.11 (((~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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4717,plain,
% 1.10/1.11 (((~![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))))),
% 1.10/1.11 inference(monotonicity,[status(thm)],[4716])).
% 1.10/1.11 tff(4718,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(transitivity,[status(thm)],[4717, 4715])).
% 1.10/1.11 tff(4719,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4720,plain,
% 1.10/1.11 ((~![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(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 1.10/1.11 tff(4721,plain,
% 1.10/1.11 (~m_main_v_state1(s53, c_n1)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4720, 936, 4514, 4599])).
% 1.10/1.11 tff(4722,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4723,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4724,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 1.10/1.11 tff(4725,plain,
% 1.10/1.11 (~node2(s53)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4724, 652, 4721])).
% 1.10/1.11 tff(4726,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4727,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4728,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 1.10/1.11 tff(4729,plain,
% 1.10/1.11 (~node1(s53)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4728, 206, 4646])).
% 1.10/1.11 tff(4730,plain,
% 1.10/1.11 (((~![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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4731,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4732,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 1.10/1.11 tff(4733,plain,
% 1.10/1.11 (node7(s53, s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4732, 217, 4657])).
% 1.10/1.11 tff(4734,plain,
% 1.10/1.11 (((~![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(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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4735,plain,
% 1.10/1.11 (((~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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4736,plain,
% 1.10/1.11 (((~![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(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))))),
% 1.10/1.11 inference(monotonicity,[status(thm)],[4735])).
% 1.10/1.11 tff(4737,plain,
% 1.10/1.11 (((~![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(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)))),
% 1.10/1.11 inference(transitivity,[status(thm)],[4736, 4734])).
% 1.10/1.11 tff(4738,plain,
% 1.10/1.11 ((~![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(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))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4739,plain,
% 1.10/1.11 ((~![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(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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 1.10/1.11 tff(4740,plain,
% 1.10/1.11 ((~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)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4739, 965, 4733])).
% 1.10/1.11 tff(4741,plain,
% 1.10/1.11 (m_main_v_state1(s54, c_c1)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4740, 4729, 4642, 4606, 4725, 4714])).
% 1.10/1.11 tff(4742,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4743,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4744,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 1.10/1.11 tff(4745,plain,
% 1.10/1.11 (~m_main_v_state1(s54, c_n1)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4744, 449, 4741])).
% 1.10/1.11 tff(4746,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4747,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4748,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 1.10/1.11 tff(4749,plain,
% 1.10/1.11 (~node11(s54)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4748, 361, 4745])).
% 1.10/1.11 tff(4750,plain,
% 1.10/1.11 (succ(s54, s55) <=> succ(s54, s55)),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4751,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 1.10/1.11 tff(4752,plain,
% 1.10/1.11 (succ(s54, s55)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 1.10/1.11 tff(4753,plain,
% 1.10/1.11 (((~![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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4754,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4755,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 1.10/1.11 tff(4756,plain,
% 1.10/1.11 (trans(s54, s55)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4755, 4752, 57])).
% 1.10/1.11 tff(4757,plain,
% 1.10/1.11 (((~![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))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4758,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4759,plain,
% 1.10/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 1.10/1.11 tff(4760,plain,
% 1.10/1.11 (node14(s54, s55)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4759, 130, 4756])).
% 1.10/1.11 tff(4761,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4762,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4763,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4762, 4761])).
% 1.10/1.11 tff(4764,plain,
% 1.10/1.11 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4763, 401, 4760])).
% 1.10/1.11 tff(4765,plain,
% 1.10/1.11 (node13(s54, s55)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4764, 4749, 4706, 4702, 4698, 4694, 4677])).
% 1.10/1.11 tff(4766,plain,
% 1.10/1.11 (((~![V: $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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4767,plain,
% 1.10/1.11 (((~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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4768,plain,
% 1.10/1.11 (((~![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))))),
% 1.10/1.11 inference(monotonicity,[status(thm)],[4767])).
% 1.10/1.11 tff(4769,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(transitivity,[status(thm)],[4768, 4766])).
% 1.10/1.11 tff(4770,plain,
% 1.10/1.11 ((~![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)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4771,plain,
% 1.10/1.11 ((~![V: $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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 1.10/1.11 tff(4772,plain,
% 1.10/1.11 (~m_main_v_state2(s55, c_n2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4771, 416, 4690, 4765])).
% 1.10/1.11 tff(4773,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4774,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4775,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 1.10/1.11 tff(4776,plain,
% 1.10/1.11 (~node9(s55)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4775, 311, 4772])).
% 1.10/1.11 tff(4777,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4778,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4779,plain,
% 1.10/1.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 1.10/1.11 tff(4780,plain,
% 1.10/1.11 (~node10(s55)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4779, 372, 4772])).
% 1.10/1.11 tff(4781,plain,
% 1.10/1.11 (((~![V: $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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4782,plain,
% 1.10/1.11 (((~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)))),
% 1.10/1.11 inference(rewrite,[status(thm)],[])).
% 1.10/1.11 tff(4783,plain,
% 1.10/1.11 (((~![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))))),
% 1.10/1.11 inference(monotonicity,[status(thm)],[4782])).
% 1.10/1.11 tff(4784,plain,
% 1.10/1.11 (((~![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)))),
% 1.10/1.11 inference(transitivity,[status(thm)],[4783, 4781])).
% 1.10/1.11 tff(4785,plain,
% 1.10/1.11 ((~![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))),
% 1.10/1.11 inference(quant_inst,[status(thm)],[])).
% 1.10/1.11 tff(4786,plain,
% 1.10/1.11 ((~![V: $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))),
% 1.10/1.11 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 1.10/1.11 tff(4787,plain,
% 1.10/1.11 (m_main_v_state2(s55, c_t2)),
% 1.10/1.11 inference(unit_resolution,[status(thm)],[4786, 563, 4686, 4765])).
% 1.10/1.12 tff(4788,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4789,plain,
% 1.10/1.12 ((~![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)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4790,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4789, 4788])).
% 1.10/1.12 tff(4791,plain,
% 1.10/1.12 (~m_main_v_state1(s54, c_t1)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4790, 289, 4741])).
% 1.10/1.12 tff(4792,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4793,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4794,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 1.10/1.12 tff(4795,plain,
% 1.10/1.12 (~node5(s54)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4794, 300, 4791])).
% 1.10/1.12 tff(4796,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4797,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4798,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 1.10/1.12 tff(4799,plain,
% 1.10/1.12 (~node4(s54)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4798, 162, 4690])).
% 1.10/1.12 tff(4800,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4801,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4802,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4801, 4800])).
% 1.10/1.12 tff(4803,plain,
% 1.10/1.12 (~node3(s54)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4802, 184, 4706])).
% 1.10/1.12 tff(4804,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4805,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4806,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 1.10/1.12 tff(4807,plain,
% 1.10/1.12 (~node2(s54)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4806, 195, 4690])).
% 1.10/1.12 tff(4808,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4809,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4810,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4809, 4808])).
% 1.10/1.12 tff(4811,plain,
% 1.10/1.12 (~node1(s54)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4810, 249, 4745])).
% 1.10/1.12 tff(4812,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4813,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4814,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 1.10/1.12 tff(4815,plain,
% 1.10/1.12 (node7(s54, s55)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4814, 217, 4756])).
% 1.10/1.12 tff(4816,plain,
% 1.10/1.12 (((~![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(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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4817,plain,
% 1.10/1.12 (((~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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4818,plain,
% 1.10/1.12 (((~![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(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))))),
% 1.10/1.12 inference(monotonicity,[status(thm)],[4817])).
% 1.10/1.12 tff(4819,plain,
% 1.10/1.12 (((~![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(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)))),
% 1.10/1.12 inference(transitivity,[status(thm)],[4818, 4816])).
% 1.10/1.12 tff(4820,plain,
% 1.10/1.12 ((~![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(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4821,plain,
% 1.10/1.12 ((~![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(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 1.10/1.12 tff(4822,plain,
% 1.10/1.12 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4821, 478, 4815])).
% 1.10/1.12 tff(4823,plain,
% 1.10/1.12 (m_main_v_state1(s55, c_n1)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4822, 4811, 4741, 4807, 4803, 4799, 4795])).
% 1.10/1.12 tff(4824,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4825,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4826,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 1.10/1.12 tff(4827,plain,
% 1.10/1.12 (~node8(s55)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4826, 383, 4772])).
% 1.10/1.12 tff(4828,plain,
% 1.10/1.12 (succ(s55, s56) <=> succ(s55, s56)),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4829,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 1.10/1.12 tff(4830,plain,
% 1.10/1.12 (succ(s55, s56)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4829, 4828])).
% 1.10/1.12 tff(4831,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4832,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4833,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 1.10/1.12 tff(4834,plain,
% 1.10/1.12 (trans(s55, s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4833, 4830, 57])).
% 1.10/1.12 tff(4835,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4836,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4837,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 1.10/1.12 tff(4838,plain,
% 1.10/1.12 (node14(s55, s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4837, 130, 4834])).
% 1.10/1.12 tff(4839,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4840,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4841,plain,
% 1.10/1.12 ((~![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)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4840, 4839])).
% 1.10/1.12 tff(4842,plain,
% 1.10/1.12 ((~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)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4841, 704, 4838])).
% 1.10/1.12 tff(4843,plain,
% 1.10/1.12 (m_main_v_state2(s56, c_c2)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4842, 4827, 4823, 4787, 4780, 4776])).
% 1.10/1.12 tff(4844,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4845,plain,
% 1.10/1.12 ((~![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)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4846,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4845, 4844])).
% 1.10/1.12 tff(4847,plain,
% 1.10/1.12 (~m_main_v_state2(s56, c_t2)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4846, 173, 4843])).
% 1.10/1.12 tff(4848,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4849,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4850,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 1.10/1.12 tff(4851,plain,
% 1.10/1.12 (~node12(s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4850, 778, 4847])).
% 1.10/1.12 tff(4852,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4853,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4854,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 1.10/1.12 tff(4855,plain,
% 1.10/1.12 (node7(s55, s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4854, 217, 4834])).
% 1.10/1.12 tff(4856,plain,
% 1.10/1.12 (((~![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(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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4857,plain,
% 1.10/1.12 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4858,plain,
% 1.10/1.12 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 1.10/1.12 tff(4859,plain,
% 1.10/1.12 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4858, 598, 4855])).
% 1.10/1.12 tff(4860,plain,
% 1.10/1.12 (m_main_v_state1(s56, c_t1)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4859, 4787, 4823])).
% 1.10/1.12 tff(4861,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4862,plain,
% 1.10/1.12 ((~![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)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4863,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4862, 4861])).
% 1.10/1.12 tff(4864,plain,
% 1.10/1.12 (~m_main_v_state1(s56, c_n1)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4863, 35, 4860])).
% 1.10/1.12 tff(4865,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4866,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4867,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 1.10/1.12 tff(4868,plain,
% 1.10/1.12 (~node11(s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4867, 361, 4864])).
% 1.10/1.12 tff(4869,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4870,plain,
% 1.10/1.12 ((~![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)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4871,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 1.10/1.12 tff(4872,plain,
% 1.10/1.12 (~m_main_v_state1(s56, c_c1)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4871, 289, 4860])).
% 1.10/1.12 tff(4873,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4874,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4875,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 1.10/1.12 tff(4876,plain,
% 1.10/1.12 (~node10(s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4875, 793, 4872])).
% 1.10/1.12 tff(4877,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4878,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4879,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 1.10/1.12 tff(4880,plain,
% 1.10/1.12 (~node9(s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4879, 804, 4864])).
% 1.10/1.12 tff(4881,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4882,plain,
% 1.10/1.12 ((~![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)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4883,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 1.10/1.12 tff(4884,plain,
% 1.10/1.12 (~m_main_v_state2(s56, c_n2)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4883, 716, 4843])).
% 1.10/1.12 tff(4885,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4886,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4887,plain,
% 1.10/1.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 1.10/1.12 tff(4888,plain,
% 1.10/1.12 (~node8(s56)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4887, 383, 4884])).
% 1.10/1.12 tff(4889,plain,
% 1.10/1.12 (succ(s56, s57) <=> succ(s56, s57)),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4890,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 1.10/1.12 tff(4891,plain,
% 1.10/1.12 (succ(s56, s57)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 1.10/1.12 tff(4892,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4893,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4894,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4893, 4892])).
% 1.10/1.12 tff(4895,plain,
% 1.10/1.12 (trans(s56, s57)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4894, 4891, 57])).
% 1.10/1.12 tff(4896,plain,
% 1.10/1.12 (((~![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))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4897,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4898,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4897, 4896])).
% 1.10/1.12 tff(4899,plain,
% 1.10/1.12 (node14(s56, s57)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4898, 130, 4895])).
% 1.10/1.12 tff(4900,plain,
% 1.10/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4901,plain,
% 1.10/1.12 (((~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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4902,plain,
% 1.10/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 1.10/1.12 inference(monotonicity,[status(thm)],[4901])).
% 1.10/1.12 tff(4903,plain,
% 1.10/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 1.10/1.12 inference(transitivity,[status(thm)],[4902, 4900])).
% 1.10/1.12 tff(4904,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4905,plain,
% 1.10/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4904, 4903])).
% 1.10/1.12 tff(4906,plain,
% 1.10/1.12 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4905, 826, 4899])).
% 1.10/1.12 tff(4907,plain,
% 1.10/1.12 (m_main_v_state2(s57, c_n2)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4906, 4888, 4843, 4880, 4876, 4868, 4851])).
% 1.10/1.12 tff(4908,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.12 inference(rewrite,[status(thm)],[])).
% 1.10/1.12 tff(4909,plain,
% 1.10/1.12 ((~![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)))),
% 1.10/1.12 inference(quant_inst,[status(thm)],[])).
% 1.10/1.12 tff(4910,plain,
% 1.10/1.12 ((~![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))),
% 1.10/1.12 inference(modus_ponens,[status(thm)],[4909, 4908])).
% 1.10/1.12 tff(4911,plain,
% 1.10/1.12 (~m_main_v_state2(s57, c_c2)),
% 1.10/1.12 inference(unit_resolution,[status(thm)],[4910, 716, 4907])).
% 1.10/1.12 tff(4912,plain,
% 1.10/1.12 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4913,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4914,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4913, 4912])).
% 1.10/1.13 tff(4915,plain,
% 1.10/1.13 (~node3(s57)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4914, 184, 4911])).
% 1.10/1.13 tff(4916,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4917,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4918,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 1.10/1.13 tff(4919,plain,
% 1.10/1.13 (~node1(s56)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4918, 249, 4864])).
% 1.10/1.13 tff(4920,plain,
% 1.10/1.13 (((~![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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4921,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4922,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 1.10/1.13 tff(4923,plain,
% 1.10/1.13 (node18(s55, s56)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4922, 71, 4834])).
% 1.10/1.13 tff(4924,plain,
% 1.10/1.13 (((~![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(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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4925,plain,
% 1.10/1.13 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4926,plain,
% 1.10/1.13 ((~![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(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4925, 4924])).
% 1.10/1.13 tff(4927,plain,
% 1.10/1.13 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4926, 625, 4923])).
% 1.10/1.13 tff(4928,plain,
% 1.10/1.13 (m_main_v_turn(s56, c_2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4927, 4787, 4823])).
% 1.10/1.13 tff(4929,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4930,plain,
% 1.10/1.13 ((~![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)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4931,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 1.10/1.13 tff(4932,plain,
% 1.10/1.13 (~m_main_v_turn(s56, c_1)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4931, 322, 4928])).
% 1.10/1.13 tff(4933,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4934,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4935,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 1.10/1.13 tff(4936,plain,
% 1.10/1.13 (~node5(s56)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4935, 641, 4932])).
% 1.10/1.13 tff(4937,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4938,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4939,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 1.10/1.13 tff(4940,plain,
% 1.10/1.13 (~node2(s56)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4939, 652, 4864])).
% 1.10/1.13 tff(4941,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4942,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4943,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 1.10/1.13 tff(4944,plain,
% 1.10/1.13 (~node3(s56)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4943, 663, 4864])).
% 1.10/1.13 tff(4945,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4946,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4947,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 1.10/1.13 tff(4948,plain,
% 1.10/1.13 (~node4(s56)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4947, 162, 4884])).
% 1.10/1.13 tff(4949,plain,
% 1.10/1.13 (((~![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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4950,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4951,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4950, 4949])).
% 1.10/1.13 tff(4952,plain,
% 1.10/1.13 (node7(s56, s57)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4951, 217, 4895])).
% 1.10/1.13 tff(4953,plain,
% 1.10/1.13 (((~![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(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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4954,plain,
% 1.10/1.13 ((~![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(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4955,plain,
% 1.10/1.13 ((~![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(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4954, 4953])).
% 1.10/1.13 tff(4956,plain,
% 1.10/1.13 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4955, 745, 4952])).
% 1.10/1.13 tff(4957,plain,
% 1.10/1.13 (node6(s56, s57)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4956, 4948, 4872, 4944, 4940, 4936, 4919])).
% 1.10/1.13 tff(4958,plain,
% 1.10/1.13 (((~![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(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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4959,plain,
% 1.10/1.13 (((~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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4960,plain,
% 1.10/1.13 (((~![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))))),
% 1.10/1.13 inference(monotonicity,[status(thm)],[4959])).
% 1.10/1.13 tff(4961,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(transitivity,[status(thm)],[4960, 4958])).
% 1.10/1.13 tff(4962,plain,
% 1.10/1.13 ((~![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)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4963,plain,
% 1.10/1.13 ((~![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(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 1.10/1.13 tff(4964,plain,
% 1.10/1.13 (~m_main_v_state1(s57, c_n1)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4963, 936, 4864, 4957])).
% 1.10/1.13 tff(4965,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4966,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4967,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 1.10/1.13 tff(4968,plain,
% 1.10/1.13 (~node2(s57)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4967, 652, 4964])).
% 1.10/1.13 tff(4969,plain,
% 1.10/1.13 (((~![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(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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4970,plain,
% 1.10/1.13 (((~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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4971,plain,
% 1.10/1.13 (((~![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))))),
% 1.10/1.13 inference(monotonicity,[status(thm)],[4970])).
% 1.10/1.13 tff(4972,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(transitivity,[status(thm)],[4971, 4969])).
% 1.10/1.13 tff(4973,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4974,plain,
% 1.10/1.13 ((~![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(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 1.10/1.13 tff(4975,plain,
% 1.10/1.13 (m_main_v_state1(s57, c_t1)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4974, 760, 4860, 4957])).
% 1.10/1.13 tff(4976,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4977,plain,
% 1.10/1.13 ((~![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)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4978,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4977, 4976])).
% 1.10/1.13 tff(4979,plain,
% 1.10/1.13 (~m_main_v_state2(s57, c_t2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4978, 10, 4907])).
% 1.10/1.13 tff(4980,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4981,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4982,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4981, 4980])).
% 1.10/1.13 tff(4983,plain,
% 1.10/1.13 (~node1(s57)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4982, 206, 4979])).
% 1.10/1.13 tff(4984,plain,
% 1.10/1.13 (succ(s57, s58) <=> succ(s57, s58)),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4985,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 1.10/1.13 tff(4986,plain,
% 1.10/1.13 (succ(s57, s58)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 1.10/1.13 tff(4987,plain,
% 1.10/1.13 (((~![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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4988,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4989,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4988, 4987])).
% 1.10/1.13 tff(4990,plain,
% 1.10/1.13 (trans(s57, s58)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4989, 4986, 57])).
% 1.10/1.13 tff(4991,plain,
% 1.10/1.13 (((~![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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4992,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(4993,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 1.10/1.13 tff(4994,plain,
% 1.10/1.13 (node7(s57, s58)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[4993, 217, 4990])).
% 1.10/1.13 tff(4995,plain,
% 1.10/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4996,plain,
% 1.10/1.13 (((~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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(4997,plain,
% 1.10/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))))),
% 1.10/1.13 inference(monotonicity,[status(thm)],[4996])).
% 1.10/1.13 tff(4998,plain,
% 1.10/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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)))),
% 1.10/1.13 inference(transitivity,[status(thm)],[4997, 4995])).
% 1.10/1.13 tff(4999,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5000,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_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))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 1.10/1.13 tff(5001,plain,
% 1.10/1.13 ((~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)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5000, 965, 4994])).
% 1.10/1.13 tff(5002,plain,
% 1.10/1.13 (m_main_v_state1(s58, c_c1)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5001, 4983, 4907, 4975, 4968, 4915])).
% 1.10/1.13 tff(5003,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5004,plain,
% 1.10/1.13 ((~![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)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5005,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 1.10/1.13 tff(5006,plain,
% 1.10/1.13 (~m_main_v_state1(s58, c_t1)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5005, 289, 5002])).
% 1.10/1.13 tff(5007,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5008,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5009,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5008, 5007])).
% 1.10/1.13 tff(5010,plain,
% 1.10/1.13 (~node5(s58)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5009, 300, 5006])).
% 1.10/1.13 tff(5011,plain,
% 1.10/1.13 (((~![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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5012,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5013,plain,
% 1.10/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5012, 5011])).
% 1.10/1.13 tff(5014,plain,
% 1.10/1.13 (node14(s57, s58)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5013, 130, 4990])).
% 1.10/1.13 tff(5015,plain,
% 1.10/1.13 (((~![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))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5016,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5017,plain,
% 1.10/1.13 ((~![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)),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 1.10/1.13 tff(5018,plain,
% 1.10/1.13 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5017, 893, 5014])).
% 1.10/1.13 tff(5019,plain,
% 1.10/1.13 (m_main_v_state2(s58, c_t2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5018, 4975, 4907])).
% 1.10/1.13 tff(5020,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5021,plain,
% 1.10/1.13 ((~![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)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5022,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 1.10/1.13 tff(5023,plain,
% 1.10/1.13 (~m_main_v_state2(s58, c_n2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5022, 10, 5019])).
% 1.10/1.13 tff(5024,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5025,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5026,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5025, 5024])).
% 1.10/1.13 tff(5027,plain,
% 1.10/1.13 (~node4(s58)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5026, 162, 5023])).
% 1.10/1.13 tff(5028,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5029,plain,
% 1.10/1.13 ((~![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)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5030,plain,
% 1.10/1.13 ((~![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))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5029, 5028])).
% 1.10/1.13 tff(5031,plain,
% 1.10/1.13 (~m_main_v_state2(s58, c_c2)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5030, 173, 5019])).
% 1.10/1.13 tff(5032,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.13 inference(rewrite,[status(thm)],[])).
% 1.10/1.13 tff(5033,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 1.10/1.13 inference(quant_inst,[status(thm)],[])).
% 1.10/1.13 tff(5034,plain,
% 1.10/1.13 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 1.10/1.13 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 1.10/1.13 tff(5035,plain,
% 1.10/1.13 (~node3(s58)),
% 1.10/1.13 inference(unit_resolution,[status(thm)],[5034, 184, 5031])).
% 1.10/1.13 tff(5036,plain,
% 1.10/1.13 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5037,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5038,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 1.10/1.14 tff(5039,plain,
% 1.10/1.14 (~node2(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5038, 195, 5023])).
% 1.10/1.14 tff(5040,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5041,plain,
% 1.10/1.14 ((~![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)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5042,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 1.10/1.14 tff(5043,plain,
% 1.10/1.14 (~m_main_v_state1(s58, c_n1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5042, 449, 5002])).
% 1.10/1.14 tff(5044,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5045,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5046,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 1.10/1.14 tff(5047,plain,
% 1.10/1.14 (~node1(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5046, 249, 5043])).
% 1.10/1.14 tff(5048,plain,
% 1.10/1.14 (succ(s58, s59) <=> succ(s58, s59)),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5049,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 1.10/1.14 tff(5050,plain,
% 1.10/1.14 (succ(s58, s59)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5049, 5048])).
% 1.10/1.14 tff(5051,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5052,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5053,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 1.10/1.14 tff(5054,plain,
% 1.10/1.14 (trans(s58, s59)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5053, 5050, 57])).
% 1.10/1.14 tff(5055,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5056,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5057,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5056, 5055])).
% 1.10/1.14 tff(5058,plain,
% 1.10/1.14 (node7(s58, s59)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5057, 217, 5054])).
% 1.10/1.14 tff(5059,plain,
% 1.10/1.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5060,plain,
% 1.10/1.14 (((~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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5061,plain,
% 1.10/1.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))))),
% 1.10/1.14 inference(monotonicity,[status(thm)],[5060])).
% 1.10/1.14 tff(5062,plain,
% 1.10/1.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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)))),
% 1.10/1.14 inference(transitivity,[status(thm)],[5061, 5059])).
% 1.10/1.14 tff(5063,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5064,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | 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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5063, 5062])).
% 1.10/1.14 tff(5065,plain,
% 1.10/1.14 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5064, 478, 5058])).
% 1.10/1.14 tff(5066,plain,
% 1.10/1.14 (m_main_v_state1(s59, c_n1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5065, 5047, 5002, 5039, 5035, 5027, 5010])).
% 1.10/1.14 tff(5067,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5068,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5069,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 1.10/1.14 tff(5070,plain,
% 1.10/1.14 (~node15(s57)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5069, 21, 4979])).
% 1.10/1.14 tff(5071,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5072,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5073,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 1.10/1.14 tff(5074,plain,
% 1.10/1.14 (node18(s57, s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5073, 71, 4990])).
% 1.10/1.14 tff(5075,plain,
% 1.10/1.14 (((~![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(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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5076,plain,
% 1.10/1.14 (((~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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5077,plain,
% 1.10/1.14 (((~![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(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)))),
% 1.10/1.14 inference(monotonicity,[status(thm)],[5076])).
% 1.10/1.14 tff(5078,plain,
% 1.10/1.14 (((~![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(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))),
% 1.10/1.14 inference(transitivity,[status(thm)],[5077, 5075])).
% 1.10/1.14 tff(5079,plain,
% 1.10/1.14 ((~![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(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5080,plain,
% 1.10/1.14 ((~![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(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)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 1.10/1.14 tff(5081,plain,
% 1.10/1.14 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5080, 863, 5074])).
% 1.10/1.14 tff(5082,plain,
% 1.10/1.14 (m_main_v_turn(s58, c_1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5081, 5070, 4907, 4975])).
% 1.10/1.14 tff(5083,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5084,plain,
% 1.10/1.14 ((~![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)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5085,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 1.10/1.14 tff(5086,plain,
% 1.10/1.14 (~m_main_v_turn(s58, c_2)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5085, 322, 5082])).
% 1.10/1.14 tff(5087,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5088,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5089,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 1.10/1.14 tff(5090,plain,
% 1.10/1.14 (~node12(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5089, 350, 5086])).
% 1.10/1.14 tff(5091,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5092,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5093,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 1.10/1.14 tff(5094,plain,
% 1.10/1.14 (~node8(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5093, 383, 5023])).
% 1.10/1.14 tff(5095,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5096,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5097,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 1.10/1.14 tff(5098,plain,
% 1.10/1.14 (~node9(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5097, 311, 5023])).
% 1.10/1.14 tff(5099,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5100,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5101,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 1.10/1.14 tff(5102,plain,
% 1.10/1.14 (~node10(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5101, 372, 5023])).
% 1.10/1.14 tff(5103,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5104,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5105,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 1.10/1.14 tff(5106,plain,
% 1.10/1.14 (~node11(s58)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5105, 361, 5043])).
% 1.10/1.14 tff(5107,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5108,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5109,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5108, 5107])).
% 1.10/1.14 tff(5110,plain,
% 1.10/1.14 (node14(s58, s59)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5109, 130, 5054])).
% 1.10/1.14 tff(5111,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5112,plain,
% 1.10/1.14 ((~![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)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5113,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 1.10/1.14 tff(5114,plain,
% 1.10/1.14 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5113, 401, 5110])).
% 1.10/1.14 tff(5115,plain,
% 1.10/1.14 (node13(s58, s59)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5114, 5106, 5031, 5102, 5098, 5094, 5090])).
% 1.10/1.14 tff(5116,plain,
% 1.10/1.14 (((~![V: $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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5117,plain,
% 1.10/1.14 (((~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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5118,plain,
% 1.10/1.14 (((~![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))))),
% 1.10/1.14 inference(monotonicity,[status(thm)],[5117])).
% 1.10/1.14 tff(5119,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(transitivity,[status(thm)],[5118, 5116])).
% 1.10/1.14 tff(5120,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5121,plain,
% 1.10/1.14 ((~![V: $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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 1.10/1.14 tff(5122,plain,
% 1.10/1.14 (m_main_v_state2(s59, c_t2)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5121, 563, 5019, 5115])).
% 1.10/1.14 tff(5123,plain,
% 1.10/1.14 (succ(s59, s60) <=> succ(s59, s60)),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5124,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 1.10/1.14 tff(5125,plain,
% 1.10/1.14 (succ(s59, s60)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 1.10/1.14 tff(5126,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5127,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5128,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 1.10/1.14 tff(5129,plain,
% 1.10/1.14 (trans(s59, s60)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5128, 5125, 57])).
% 1.10/1.14 tff(5130,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5131,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5132,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 1.10/1.14 tff(5133,plain,
% 1.10/1.14 (node7(s59, s60)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5132, 217, 5129])).
% 1.10/1.14 tff(5134,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5135,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5136,plain,
% 1.10/1.14 ((~![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)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5135, 5134])).
% 1.10/1.14 tff(5137,plain,
% 1.10/1.14 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5136, 598, 5133])).
% 1.10/1.14 tff(5138,plain,
% 1.10/1.14 (m_main_v_state1(s60, c_t1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5137, 5122, 5066])).
% 1.10/1.14 tff(5139,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5140,plain,
% 1.10/1.14 ((~![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)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5141,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 1.10/1.14 tff(5142,plain,
% 1.10/1.14 (~m_main_v_state1(s60, c_n1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5141, 35, 5138])).
% 1.10/1.14 tff(5143,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5144,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5145,plain,
% 1.10/1.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 1.10/1.14 tff(5146,plain,
% 1.10/1.14 (~node1(s60)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5145, 249, 5142])).
% 1.10/1.14 tff(5147,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5148,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5149,plain,
% 1.10/1.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 1.10/1.14 tff(5150,plain,
% 1.10/1.14 (node18(s59, s60)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5149, 71, 5129])).
% 1.10/1.14 tff(5151,plain,
% 1.10/1.14 (((~![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))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5152,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5153,plain,
% 1.10/1.14 ((~![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)),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5152, 5151])).
% 1.10/1.14 tff(5154,plain,
% 1.10/1.14 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5153, 625, 5150])).
% 1.10/1.14 tff(5155,plain,
% 1.10/1.14 (m_main_v_turn(s60, c_2)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5154, 5122, 5066])).
% 1.10/1.14 tff(5156,plain,
% 1.10/1.14 (((~![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)))),
% 1.10/1.14 inference(rewrite,[status(thm)],[])).
% 1.10/1.14 tff(5157,plain,
% 1.10/1.14 ((~![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)))),
% 1.10/1.14 inference(quant_inst,[status(thm)],[])).
% 1.10/1.14 tff(5158,plain,
% 1.10/1.14 ((~![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))),
% 1.10/1.14 inference(modus_ponens,[status(thm)],[5157, 5156])).
% 1.10/1.14 tff(5159,plain,
% 1.10/1.14 (~m_main_v_turn(s60, c_1)),
% 1.10/1.14 inference(unit_resolution,[status(thm)],[5158, 322, 5155])).
% 1.10/1.15 tff(5160,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5161,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5162,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 1.10/1.15 tff(5163,plain,
% 1.10/1.15 (~node5(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5162, 641, 5159])).
% 1.10/1.15 tff(5164,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5165,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5166,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 1.10/1.15 tff(5167,plain,
% 1.10/1.15 (~node2(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5166, 652, 5142])).
% 1.10/1.15 tff(5168,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5169,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5170,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5169, 5168])).
% 1.10/1.15 tff(5171,plain,
% 1.10/1.15 (~node3(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5170, 663, 5142])).
% 1.10/1.15 tff(5172,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5173,plain,
% 1.10/1.15 ((~![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)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5174,plain,
% 1.10/1.15 ((~![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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5173, 5172])).
% 1.10/1.15 tff(5175,plain,
% 1.10/1.15 (~m_main_v_state1(s60, c_c1)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5174, 289, 5138])).
% 1.10/1.15 tff(5176,plain,
% 1.10/1.15 (((~![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(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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5177,plain,
% 1.10/1.15 (((~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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5178,plain,
% 1.10/1.15 (((~![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))))),
% 1.10/1.15 inference(monotonicity,[status(thm)],[5177])).
% 1.10/1.15 tff(5179,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(transitivity,[status(thm)],[5178, 5176])).
% 1.10/1.15 tff(5180,plain,
% 1.10/1.15 ((~![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)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5181,plain,
% 1.10/1.15 ((~![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(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 1.10/1.15 tff(5182,plain,
% 1.10/1.15 (~m_main_v_state2(s59, c_n2)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5181, 416, 5023, 5115])).
% 1.10/1.15 tff(5183,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5184,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5185,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 1.10/1.15 tff(5186,plain,
% 1.10/1.15 (~node9(s59)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5185, 311, 5182])).
% 1.10/1.15 tff(5187,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5188,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5189,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 1.10/1.15 tff(5190,plain,
% 1.10/1.15 (~node10(s59)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5189, 372, 5182])).
% 1.10/1.15 tff(5191,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5192,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5193,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 1.10/1.15 tff(5194,plain,
% 1.10/1.15 (~node8(s59)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5193, 383, 5182])).
% 1.10/1.15 tff(5195,plain,
% 1.10/1.15 (((~![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))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5196,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5197,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 1.10/1.15 tff(5198,plain,
% 1.10/1.15 (node14(s59, s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5197, 130, 5129])).
% 1.10/1.15 tff(5199,plain,
% 1.10/1.15 (((~![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(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))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5200,plain,
% 1.10/1.15 ((~![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(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))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5201,plain,
% 1.10/1.15 ((~![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(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)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 1.10/1.15 tff(5202,plain,
% 1.10/1.15 ((~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)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5201, 704, 5198])).
% 1.10/1.15 tff(5203,plain,
% 1.10/1.15 (m_main_v_state2(s60, c_c2)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5202, 5194, 5066, 5122, 5190, 5186])).
% 1.10/1.15 tff(5204,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5205,plain,
% 1.10/1.15 ((~![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)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5206,plain,
% 1.10/1.15 ((~![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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5205, 5204])).
% 1.10/1.15 tff(5207,plain,
% 1.10/1.15 (~m_main_v_state2(s60, c_n2)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5206, 716, 5203])).
% 1.10/1.15 tff(5208,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5209,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5210,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 1.10/1.15 tff(5211,plain,
% 1.10/1.15 (~node4(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5210, 162, 5207])).
% 1.10/1.15 tff(5212,plain,
% 1.10/1.15 (succ(s60, s61) <=> succ(s60, s61)),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5213,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 1.10/1.15 tff(5214,plain,
% 1.10/1.15 (succ(s60, s61)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5213, 5212])).
% 1.10/1.15 tff(5215,plain,
% 1.10/1.15 (((~![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))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5216,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5217,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5216, 5215])).
% 1.10/1.15 tff(5218,plain,
% 1.10/1.15 (trans(s60, s61)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5217, 5214, 57])).
% 1.10/1.15 tff(5219,plain,
% 1.10/1.15 (((~![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))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5220,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5221,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 1.10/1.15 tff(5222,plain,
% 1.10/1.15 (node7(s60, s61)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5221, 217, 5218])).
% 1.10/1.15 tff(5223,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5224,plain,
% 1.10/1.15 ((~![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)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5225,plain,
% 1.10/1.15 ((~![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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 1.10/1.15 tff(5226,plain,
% 1.10/1.15 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5225, 745, 5222])).
% 1.10/1.15 tff(5227,plain,
% 1.10/1.15 (node6(s60, s61)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5226, 5211, 5175, 5171, 5167, 5163, 5146])).
% 1.10/1.15 tff(5228,plain,
% 1.10/1.15 (((~![V: $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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5229,plain,
% 1.10/1.15 (((~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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5230,plain,
% 1.10/1.15 (((~![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))))),
% 1.10/1.15 inference(monotonicity,[status(thm)],[5229])).
% 1.10/1.15 tff(5231,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(transitivity,[status(thm)],[5230, 5228])).
% 1.10/1.15 tff(5232,plain,
% 1.10/1.15 ((~![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))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5233,plain,
% 1.10/1.15 ((~![V: $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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 1.10/1.15 tff(5234,plain,
% 1.10/1.15 (m_main_v_state1(s61, c_t1)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5233, 760, 5138, 5227])).
% 1.10/1.15 tff(5235,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5236,plain,
% 1.10/1.15 ((~![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)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5237,plain,
% 1.10/1.15 ((~![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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5236, 5235])).
% 1.10/1.15 tff(5238,plain,
% 1.10/1.15 (~m_main_v_state2(s60, c_t2)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5237, 173, 5203])).
% 1.10/1.15 tff(5239,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5240,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5241,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5240, 5239])).
% 1.10/1.15 tff(5242,plain,
% 1.10/1.15 (~node12(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5241, 778, 5238])).
% 1.10/1.15 tff(5243,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5244,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5245,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 1.10/1.15 tff(5246,plain,
% 1.10/1.15 (~node11(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5245, 361, 5142])).
% 1.10/1.15 tff(5247,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5248,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5249,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 1.10/1.15 tff(5250,plain,
% 1.10/1.15 (~node10(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5249, 793, 5175])).
% 1.10/1.15 tff(5251,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5252,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5253,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 1.10/1.15 tff(5254,plain,
% 1.10/1.15 (~node9(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5253, 804, 5142])).
% 1.10/1.15 tff(5255,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5256,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5257,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 1.10/1.15 tff(5258,plain,
% 1.10/1.15 (~node8(s60)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5257, 383, 5207])).
% 1.10/1.15 tff(5259,plain,
% 1.10/1.15 (((~![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))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5260,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5261,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 1.10/1.15 tff(5262,plain,
% 1.10/1.15 (node14(s60, s61)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5261, 130, 5218])).
% 1.10/1.15 tff(5263,plain,
% 1.10/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5264,plain,
% 1.10/1.15 (((~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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5265,plain,
% 1.10/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))))),
% 1.10/1.15 inference(monotonicity,[status(thm)],[5264])).
% 1.10/1.15 tff(5266,plain,
% 1.10/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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)))),
% 1.10/1.15 inference(transitivity,[status(thm)],[5265, 5263])).
% 1.10/1.15 tff(5267,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5268,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | 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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5267, 5266])).
% 1.10/1.15 tff(5269,plain,
% 1.10/1.15 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5268, 826, 5262])).
% 1.10/1.15 tff(5270,plain,
% 1.10/1.15 (m_main_v_state2(s61, c_n2)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5269, 5258, 5203, 5254, 5250, 5246, 5242])).
% 1.10/1.15 tff(5271,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5272,plain,
% 1.10/1.15 ((~![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)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5273,plain,
% 1.10/1.15 ((~![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))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 1.10/1.15 tff(5274,plain,
% 1.10/1.15 (~m_main_v_state2(s61, c_t2)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5273, 10, 5270])).
% 1.10/1.15 tff(5275,plain,
% 1.10/1.15 (((~![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)))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5276,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5277,plain,
% 1.10/1.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 1.10/1.15 tff(5278,plain,
% 1.10/1.15 (~node15(s61)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5277, 21, 5274])).
% 1.10/1.15 tff(5279,plain,
% 1.10/1.15 (succ(s61, s62) <=> succ(s61, s62)),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5280,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 1.10/1.15 tff(5281,plain,
% 1.10/1.15 (succ(s61, s62)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 1.10/1.15 tff(5282,plain,
% 1.10/1.15 (((~![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))),
% 1.10/1.15 inference(rewrite,[status(thm)],[])).
% 1.10/1.15 tff(5283,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 1.10/1.15 inference(quant_inst,[status(thm)],[])).
% 1.10/1.15 tff(5284,plain,
% 1.10/1.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 1.10/1.15 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 1.10/1.15 tff(5285,plain,
% 1.10/1.15 (trans(s61, s62)),
% 1.10/1.15 inference(unit_resolution,[status(thm)],[5284, 5281, 57])).
% 1.10/1.15 tff(5286,plain,
% 1.10/1.15 (((~![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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5287,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5288,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 1.10/1.16 tff(5289,plain,
% 1.10/1.16 (node18(s61, s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5288, 71, 5285])).
% 1.10/1.16 tff(5290,plain,
% 1.10/1.16 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5291,plain,
% 1.10/1.16 (((~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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5292,plain,
% 1.10/1.16 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.10/1.16 inference(monotonicity,[status(thm)],[5291])).
% 1.10/1.16 tff(5293,plain,
% 1.10/1.16 (((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.16 inference(transitivity,[status(thm)],[5292, 5290])).
% 1.10/1.16 tff(5294,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5295,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~m_main_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)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 1.10/1.16 tff(5296,plain,
% 1.10/1.16 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5295, 863, 5289])).
% 1.10/1.16 tff(5297,plain,
% 1.10/1.16 (m_main_v_turn(s62, c_1)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5296, 5278, 5270, 5234])).
% 1.10/1.16 tff(5298,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5299,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5300,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 1.10/1.16 tff(5301,plain,
% 1.10/1.16 (~m_main_v_turn(s62, c_2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5300, 322, 5297])).
% 1.10/1.16 tff(5302,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5303,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5304,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5303, 5302])).
% 1.10/1.16 tff(5305,plain,
% 1.10/1.16 (~node12(s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5304, 350, 5301])).
% 1.10/1.16 tff(5306,plain,
% 1.10/1.16 (((~![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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5307,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5308,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 1.10/1.16 tff(5309,plain,
% 1.10/1.16 (node14(s61, s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5308, 130, 5285])).
% 1.10/1.16 tff(5310,plain,
% 1.10/1.16 (((~![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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5311,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5312,plain,
% 1.10/1.16 ((~![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)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 1.10/1.16 tff(5313,plain,
% 1.10/1.16 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5312, 893, 5309])).
% 1.10/1.16 tff(5314,plain,
% 1.10/1.16 (m_main_v_state2(s62, c_t2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5313, 5234, 5270])).
% 1.10/1.16 tff(5315,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5316,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5317,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 1.10/1.16 tff(5318,plain,
% 1.10/1.16 (~m_main_v_state2(s62, c_n2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5317, 10, 5314])).
% 1.10/1.16 tff(5319,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5320,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5321,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5320, 5319])).
% 1.10/1.16 tff(5322,plain,
% 1.10/1.16 (~node8(s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5321, 383, 5318])).
% 1.10/1.16 tff(5323,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5324,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5325,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 1.10/1.16 tff(5326,plain,
% 1.10/1.16 (~node9(s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5325, 311, 5318])).
% 1.10/1.16 tff(5327,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5328,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5329,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 1.10/1.16 tff(5330,plain,
% 1.10/1.16 (~node10(s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5329, 372, 5318])).
% 1.10/1.16 tff(5331,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5332,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5333,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 1.10/1.16 tff(5334,plain,
% 1.10/1.16 (~m_main_v_state2(s62, c_c2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5333, 173, 5314])).
% 1.10/1.16 tff(5335,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5336,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5337,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 1.10/1.16 tff(5338,plain,
% 1.10/1.16 (~m_main_v_state2(s61, c_c2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5337, 716, 5270])).
% 1.10/1.16 tff(5339,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5340,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5341,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 1.10/1.16 tff(5342,plain,
% 1.10/1.16 (~node3(s61)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5341, 184, 5338])).
% 1.10/1.16 tff(5343,plain,
% 1.10/1.16 (((~![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(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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5344,plain,
% 1.10/1.16 (((~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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5345,plain,
% 1.10/1.16 (((~![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))))),
% 1.10/1.16 inference(monotonicity,[status(thm)],[5344])).
% 1.10/1.16 tff(5346,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(transitivity,[status(thm)],[5345, 5343])).
% 1.10/1.16 tff(5347,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5348,plain,
% 1.10/1.16 ((~![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(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 1.10/1.16 tff(5349,plain,
% 1.10/1.16 (~m_main_v_state1(s61, c_n1)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5348, 936, 5142, 5227])).
% 1.10/1.16 tff(5350,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5351,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5352,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 1.10/1.16 tff(5353,plain,
% 1.10/1.16 (~node2(s61)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5352, 652, 5349])).
% 1.10/1.16 tff(5354,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5355,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5356,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 1.10/1.16 tff(5357,plain,
% 1.10/1.16 (~node1(s61)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5356, 206, 5274])).
% 1.10/1.16 tff(5358,plain,
% 1.10/1.16 (((~![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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5359,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5360,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 1.10/1.16 tff(5361,plain,
% 1.10/1.16 (node7(s61, s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5360, 217, 5285])).
% 1.10/1.16 tff(5362,plain,
% 1.10/1.16 (((~![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(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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5363,plain,
% 1.10/1.16 (((~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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5364,plain,
% 1.10/1.16 (((~![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(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))))),
% 1.10/1.16 inference(monotonicity,[status(thm)],[5363])).
% 1.10/1.16 tff(5365,plain,
% 1.10/1.16 (((~![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(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)))),
% 1.10/1.16 inference(transitivity,[status(thm)],[5364, 5362])).
% 1.10/1.16 tff(5366,plain,
% 1.10/1.16 ((~![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(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))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5367,plain,
% 1.10/1.16 ((~![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(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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 1.10/1.16 tff(5368,plain,
% 1.10/1.16 ((~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)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5367, 965, 5361])).
% 1.10/1.16 tff(5369,plain,
% 1.10/1.16 (m_main_v_state1(s62, c_c1)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5368, 5357, 5270, 5234, 5353, 5342])).
% 1.10/1.16 tff(5370,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5371,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5372,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 1.10/1.16 tff(5373,plain,
% 1.10/1.16 (~m_main_v_state1(s62, c_n1)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5372, 449, 5369])).
% 1.10/1.16 tff(5374,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5375,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5376,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5375, 5374])).
% 1.10/1.16 tff(5377,plain,
% 1.10/1.16 (~node11(s62)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5376, 361, 5373])).
% 1.10/1.16 tff(5378,plain,
% 1.10/1.16 (succ(s62, s63) <=> succ(s62, s63)),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5379,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 1.10/1.16 tff(5380,plain,
% 1.10/1.16 (succ(s62, s63)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 1.10/1.16 tff(5381,plain,
% 1.10/1.16 (((~![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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5382,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5383,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 1.10/1.16 tff(5384,plain,
% 1.10/1.16 (trans(s62, s63)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5383, 5380, 57])).
% 1.10/1.16 tff(5385,plain,
% 1.10/1.16 (((~![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))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5386,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5387,plain,
% 1.10/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 1.10/1.16 tff(5388,plain,
% 1.10/1.16 (node14(s62, s63)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5387, 130, 5384])).
% 1.10/1.16 tff(5389,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5390,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5391,plain,
% 1.10/1.16 ((~![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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5390, 5389])).
% 1.10/1.16 tff(5392,plain,
% 1.10/1.16 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5391, 401, 5388])).
% 1.10/1.16 tff(5393,plain,
% 1.10/1.16 (node13(s62, s63)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5392, 5377, 5334, 5330, 5326, 5322, 5305])).
% 1.10/1.16 tff(5394,plain,
% 1.10/1.16 (((~![V: $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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5395,plain,
% 1.10/1.16 (((~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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5396,plain,
% 1.10/1.16 (((~![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))))),
% 1.10/1.16 inference(monotonicity,[status(thm)],[5395])).
% 1.10/1.16 tff(5397,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(transitivity,[status(thm)],[5396, 5394])).
% 1.10/1.16 tff(5398,plain,
% 1.10/1.16 ((~![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)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5399,plain,
% 1.10/1.16 ((~![V: $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))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 1.10/1.16 tff(5400,plain,
% 1.10/1.16 (~m_main_v_state2(s63, c_n2)),
% 1.10/1.16 inference(unit_resolution,[status(thm)],[5399, 416, 5318, 5393])).
% 1.10/1.16 tff(5401,plain,
% 1.10/1.16 (((~![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)))),
% 1.10/1.16 inference(rewrite,[status(thm)],[])).
% 1.10/1.16 tff(5402,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 1.10/1.16 inference(quant_inst,[status(thm)],[])).
% 1.10/1.16 tff(5403,plain,
% 1.10/1.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 1.10/1.16 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 1.10/1.17 tff(5404,plain,
% 1.10/1.17 (~node9(s63)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5403, 311, 5400])).
% 1.10/1.17 tff(5405,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5406,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5407,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 1.10/1.17 tff(5408,plain,
% 1.10/1.17 (~node10(s63)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5407, 372, 5400])).
% 1.10/1.17 tff(5409,plain,
% 1.10/1.17 (((~![V: $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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5410,plain,
% 1.10/1.17 (((~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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5411,plain,
% 1.10/1.17 (((~![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))))),
% 1.10/1.17 inference(monotonicity,[status(thm)],[5410])).
% 1.10/1.17 tff(5412,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(transitivity,[status(thm)],[5411, 5409])).
% 1.10/1.17 tff(5413,plain,
% 1.10/1.17 ((~![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))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5414,plain,
% 1.10/1.17 ((~![V: $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))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 1.10/1.17 tff(5415,plain,
% 1.10/1.17 (m_main_v_state2(s63, c_t2)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5414, 563, 5314, 5393])).
% 1.10/1.17 tff(5416,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5417,plain,
% 1.10/1.17 ((~![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)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5418,plain,
% 1.10/1.17 ((~![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))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 1.10/1.17 tff(5419,plain,
% 1.10/1.17 (~m_main_v_state1(s62, c_t1)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5418, 289, 5369])).
% 1.10/1.17 tff(5420,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5421,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5422,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5421, 5420])).
% 1.10/1.17 tff(5423,plain,
% 1.10/1.17 (~node5(s62)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5422, 300, 5419])).
% 1.10/1.17 tff(5424,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5425,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5426,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5425, 5424])).
% 1.10/1.17 tff(5427,plain,
% 1.10/1.17 (~node4(s62)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5426, 162, 5318])).
% 1.10/1.17 tff(5428,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5429,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5430,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5429, 5428])).
% 1.10/1.17 tff(5431,plain,
% 1.10/1.17 (~node3(s62)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5430, 184, 5334])).
% 1.10/1.17 tff(5432,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5433,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5434,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5433, 5432])).
% 1.10/1.17 tff(5435,plain,
% 1.10/1.17 (~node2(s62)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5434, 195, 5318])).
% 1.10/1.17 tff(5436,plain,
% 1.10/1.17 (((~![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)))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5437,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5438,plain,
% 1.10/1.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 1.10/1.17 tff(5439,plain,
% 1.10/1.17 (~node1(s62)),
% 1.10/1.17 inference(unit_resolution,[status(thm)],[5438, 249, 5373])).
% 1.10/1.17 tff(5440,plain,
% 1.10/1.17 (((~![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))),
% 1.10/1.17 inference(rewrite,[status(thm)],[])).
% 1.10/1.17 tff(5441,plain,
% 1.10/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 1.10/1.17 inference(quant_inst,[status(thm)],[])).
% 1.10/1.17 tff(5442,plain,
% 1.10/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 1.10/1.17 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 1.10/1.17 tff(5443,plain,
% 1.10/1.17 (node7(s62, s63)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5442, 217, 5384])).
% 1.19/1.17 tff(5444,plain,
% 1.19/1.17 (((~![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(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)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5445,plain,
% 1.19/1.17 (((~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)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5446,plain,
% 1.19/1.17 (((~![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(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))))),
% 1.19/1.17 inference(monotonicity,[status(thm)],[5445])).
% 1.19/1.17 tff(5447,plain,
% 1.19/1.17 (((~![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(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)))),
% 1.19/1.17 inference(transitivity,[status(thm)],[5446, 5444])).
% 1.19/1.17 tff(5448,plain,
% 1.19/1.17 ((~![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(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5449,plain,
% 1.19/1.17 ((~![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(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 1.19/1.17 tff(5450,plain,
% 1.19/1.17 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5449, 478, 5443])).
% 1.19/1.17 tff(5451,plain,
% 1.19/1.17 (m_main_v_state1(s63, c_n1)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5450, 5439, 5369, 5435, 5431, 5427, 5423])).
% 1.19/1.17 tff(5452,plain,
% 1.19/1.17 (((~![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)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5453,plain,
% 1.19/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5454,plain,
% 1.19/1.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5453, 5452])).
% 1.19/1.17 tff(5455,plain,
% 1.19/1.17 (~node8(s63)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5454, 383, 5400])).
% 1.19/1.17 tff(5456,plain,
% 1.19/1.17 (succ(s63, s64) <=> succ(s63, s64)),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5457,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 1.19/1.17 tff(5458,plain,
% 1.19/1.17 (succ(s63, s64)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5457, 5456])).
% 1.19/1.17 tff(5459,plain,
% 1.19/1.17 (((~![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))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5460,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5461,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 1.19/1.17 tff(5462,plain,
% 1.19/1.17 (trans(s63, s64)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5461, 5458, 57])).
% 1.19/1.17 tff(5463,plain,
% 1.19/1.17 (((~![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))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5464,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5465,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 1.19/1.17 tff(5466,plain,
% 1.19/1.17 (node14(s63, s64)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5465, 130, 5462])).
% 1.19/1.17 tff(5467,plain,
% 1.19/1.17 (((~![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))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5468,plain,
% 1.19/1.17 ((~![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))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5469,plain,
% 1.19/1.17 ((~![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)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 1.19/1.17 tff(5470,plain,
% 1.19/1.17 ((~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)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5469, 704, 5466])).
% 1.19/1.17 tff(5471,plain,
% 1.19/1.17 (m_main_v_state2(s64, c_c2)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5470, 5455, 5451, 5415, 5408, 5404])).
% 1.19/1.17 tff(5472,plain,
% 1.19/1.17 (^[X: $i] : refl(((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ((~m_main_v_state2(X, c_c2)) | (~always25(X))))),
% 1.19/1.17 inference(bind,[status(th)],[])).
% 1.19/1.17 tff(5473,plain,
% 1.19/1.17 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 1.19/1.17 inference(quant_intro,[status(thm)],[5472])).
% 1.19/1.17 tff(5474,plain,
% 1.19/1.17 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5475,axiom,(![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty14')).
% 1.19/1.17 tff(5476,plain,
% 1.19/1.17 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 1.19/1.17 tff(5477,plain,(
% 1.19/1.17 ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 1.19/1.17 inference(skolemize,[status(sab)],[5476])).
% 1.19/1.17 tff(5478,plain,
% 1.19/1.17 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5477, 5473])).
% 1.19/1.17 tff(5479,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5480,plain,
% 1.19/1.17 (((~m_main_v_state2(s64, c_c2)) | (~always25(s64))) <=> ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5481,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s64)) | (~m_main_v_state2(s64, c_c2))))),
% 1.19/1.17 inference(monotonicity,[status(thm)],[5480])).
% 1.19/1.17 tff(5482,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 1.19/1.17 inference(transitivity,[status(thm)],[5481, 5479])).
% 1.19/1.17 tff(5483,plain,
% 1.19/1.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5484,plain,
% 1.19/1.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 1.19/1.17 tff(5485,plain,
% 1.19/1.17 (~always25(s64)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5484, 5478, 5471])).
% 1.19/1.17 tff(5486,plain,
% 1.19/1.17 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 1.19/1.17 inference(bind,[status(th)],[])).
% 1.19/1.17 tff(5487,plain,
% 1.19/1.17 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(quant_intro,[status(thm)],[5486])).
% 1.19/1.17 tff(5488,plain,
% 1.19/1.17 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5489,plain,
% 1.19/1.17 (^[Y: $i, X: $i] : rewrite(((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 1.19/1.17 inference(bind,[status(th)],[])).
% 1.19/1.17 tff(5490,plain,
% 1.19/1.17 (![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(quant_intro,[status(thm)],[5489])).
% 1.19/1.17 tff(5491,axiom,(![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty15')).
% 1.19/1.17 tff(5492,plain,
% 1.19/1.17 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 1.19/1.17 tff(5493,plain,
% 1.19/1.17 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5492, 5488])).
% 1.19/1.17 tff(5494,plain,(
% 1.19/1.17 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(skolemize,[status(sab)],[5493])).
% 1.19/1.17 tff(5495,plain,
% 1.19/1.17 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5494, 5487])).
% 1.19/1.17 tff(5496,plain,
% 1.19/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s64) | (~trans(s63, s64)) | (~always25(s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s64) | (~trans(s63, s64)) | (~always25(s63)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5497,plain,
% 1.19/1.17 (((~trans(s63, s64)) | (~always25(s63)) | always25(s64)) <=> (always25(s64) | (~trans(s63, s64)) | (~always25(s63)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5498,plain,
% 1.19/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s64) | (~trans(s63, s64)) | (~always25(s63))))),
% 1.19/1.17 inference(monotonicity,[status(thm)],[5497])).
% 1.19/1.17 tff(5499,plain,
% 1.19/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s64) | (~trans(s63, s64)) | (~always25(s63)))),
% 1.19/1.17 inference(transitivity,[status(thm)],[5498, 5496])).
% 1.19/1.17 tff(5500,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5501,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s64) | (~trans(s63, s64)) | (~always25(s63))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5500, 5499])).
% 1.19/1.17 tff(5502,plain,
% 1.19/1.17 (always25(s64) | (~always25(s63))),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5501, 5495, 5462])).
% 1.19/1.17 tff(5503,plain,
% 1.19/1.17 (~always25(s63)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5502, 5485])).
% 1.19/1.17 tff(5504,plain,
% 1.19/1.17 (^[X: $i] : refl((always25(X) | (~node26(X))) <=> (always25(X) | (~node26(X))))),
% 1.19/1.17 inference(bind,[status(th)],[])).
% 1.19/1.17 tff(5505,plain,
% 1.19/1.17 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 1.19/1.17 inference(quant_intro,[status(thm)],[5504])).
% 1.19/1.17 tff(5506,plain,
% 1.19/1.17 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5507,axiom,(![X: $i] : (always25(X) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty18')).
% 1.19/1.17 tff(5508,plain,
% 1.19/1.17 (![X: $i] : (always25(X) | (~node26(X)))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5507, 5506])).
% 1.19/1.17 tff(5509,plain,(
% 1.19/1.17 ![X: $i] : (always25(X) | (~node26(X)))),
% 1.19/1.17 inference(skolemize,[status(sab)],[5508])).
% 1.19/1.17 tff(5510,plain,
% 1.19/1.17 (![X: $i] : (always25(X) | (~node26(X)))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5509, 5505])).
% 1.19/1.17 tff(5511,plain,
% 1.19/1.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5512,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5513,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5512, 5511])).
% 1.19/1.17 tff(5514,plain,
% 1.19/1.17 (~node26(s63)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5513, 5510, 5503])).
% 1.19/1.17 tff(5515,plain,
% 1.19/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5516,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5517,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5516, 5515])).
% 1.19/1.17 tff(5518,plain,
% 1.19/1.17 ((~always25(s62)) | always25(s63)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5517, 5495, 5384])).
% 1.19/1.17 tff(5519,plain,
% 1.19/1.17 (~always25(s62)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5518, 5503])).
% 1.19/1.17 tff(5520,plain,
% 1.19/1.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5521,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5522,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5521, 5520])).
% 1.19/1.17 tff(5523,plain,
% 1.19/1.17 (~node26(s62)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5522, 5510, 5519])).
% 1.19/1.17 tff(5524,plain,
% 1.19/1.17 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node26(X))) <=> (m_main_v_state2(X, c_t2) | (~node26(X))))),
% 1.19/1.17 inference(bind,[status(th)],[])).
% 1.19/1.17 tff(5525,plain,
% 1.19/1.17 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 1.19/1.17 inference(quant_intro,[status(thm)],[5524])).
% 1.19/1.17 tff(5526,plain,
% 1.19/1.17 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5527,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty17')).
% 1.19/1.17 tff(5528,plain,
% 1.19/1.17 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 1.19/1.17 tff(5529,plain,(
% 1.19/1.17 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 1.19/1.17 inference(skolemize,[status(sab)],[5528])).
% 1.19/1.17 tff(5530,plain,
% 1.19/1.17 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5529, 5525])).
% 1.19/1.17 tff(5531,plain,
% 1.19/1.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5532,plain,
% 1.19/1.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5533,plain,
% 1.19/1.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 1.19/1.17 tff(5534,plain,
% 1.19/1.17 (~node26(s61)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5533, 5530, 5274])).
% 1.19/1.17 tff(5535,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5536,plain,
% 1.19/1.17 (((~m_main_v_state2(s60, c_c2)) | (~always25(s60))) <=> ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5537,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s60)) | (~m_main_v_state2(s60, c_c2))))),
% 1.19/1.17 inference(monotonicity,[status(thm)],[5536])).
% 1.19/1.17 tff(5538,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 1.19/1.17 inference(transitivity,[status(thm)],[5537, 5535])).
% 1.19/1.17 tff(5539,plain,
% 1.19/1.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5540,plain,
% 1.19/1.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 1.19/1.17 tff(5541,plain,
% 1.19/1.17 (~always25(s60)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5540, 5478, 5203])).
% 1.19/1.17 tff(5542,plain,
% 1.19/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5543,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5544,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 1.19/1.17 tff(5545,plain,
% 1.19/1.17 ((~always25(s59)) | always25(s60)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5544, 5495, 5129])).
% 1.19/1.17 tff(5546,plain,
% 1.19/1.17 (~always25(s59)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5545, 5541])).
% 1.19/1.17 tff(5547,plain,
% 1.19/1.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5548,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5549,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 1.19/1.17 tff(5550,plain,
% 1.19/1.17 (~node26(s59)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5549, 5510, 5546])).
% 1.19/1.17 tff(5551,plain,
% 1.19/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5552,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5553,plain,
% 1.19/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59)),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 1.19/1.17 tff(5554,plain,
% 1.19/1.17 ((~always25(s58)) | always25(s59)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5553, 5495, 5054])).
% 1.19/1.17 tff(5555,plain,
% 1.19/1.17 (~always25(s58)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5554, 5546])).
% 1.19/1.17 tff(5556,plain,
% 1.19/1.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5557,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5558,plain,
% 1.19/1.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5557, 5556])).
% 1.19/1.17 tff(5559,plain,
% 1.19/1.17 (~node26(s58)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5558, 5510, 5555])).
% 1.19/1.17 tff(5560,plain,
% 1.19/1.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 1.19/1.17 inference(rewrite,[status(thm)],[])).
% 1.19/1.17 tff(5561,plain,
% 1.19/1.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 1.19/1.17 inference(quant_inst,[status(thm)],[])).
% 1.19/1.17 tff(5562,plain,
% 1.19/1.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57))),
% 1.19/1.17 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 1.19/1.17 tff(5563,plain,
% 1.19/1.17 (~node26(s57)),
% 1.19/1.17 inference(unit_resolution,[status(thm)],[5562, 5530, 4979])).
% 1.19/1.17 tff(5564,plain,
% 1.19/1.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5565,plain,
% 1.19/1.18 (((~m_main_v_state2(s56, c_c2)) | (~always25(s56))) <=> ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5566,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s56)) | (~m_main_v_state2(s56, c_c2))))),
% 1.19/1.18 inference(monotonicity,[status(thm)],[5565])).
% 1.19/1.18 tff(5567,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 1.19/1.18 inference(transitivity,[status(thm)],[5566, 5564])).
% 1.19/1.18 tff(5568,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5569,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 1.19/1.18 tff(5570,plain,
% 1.19/1.18 (~always25(s56)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5569, 5478, 4843])).
% 1.19/1.18 tff(5571,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5572,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5573,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5572, 5571])).
% 1.19/1.18 tff(5574,plain,
% 1.19/1.18 ((~always25(s55)) | always25(s56)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5573, 5495, 4834])).
% 1.19/1.18 tff(5575,plain,
% 1.19/1.18 (~always25(s55)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5574, 5570])).
% 1.19/1.18 tff(5576,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5577,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5578,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 1.19/1.18 tff(5579,plain,
% 1.19/1.18 (~node26(s55)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5578, 5510, 5575])).
% 1.19/1.18 tff(5580,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5581,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5582,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 1.19/1.18 tff(5583,plain,
% 1.19/1.18 ((~always25(s54)) | always25(s55)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5582, 5495, 4756])).
% 1.19/1.18 tff(5584,plain,
% 1.19/1.18 (~always25(s54)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5583, 5575])).
% 1.19/1.18 tff(5585,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5586,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5587,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 1.19/1.18 tff(5588,plain,
% 1.19/1.18 (~node26(s54)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5587, 5510, 5584])).
% 1.19/1.18 tff(5589,plain,
% 1.19/1.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5590,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5591,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 1.19/1.18 tff(5592,plain,
% 1.19/1.18 (~node26(s53)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5591, 5530, 4646])).
% 1.19/1.18 tff(5593,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5594,plain,
% 1.19/1.18 (((~m_main_v_state2(s52, c_c2)) | (~always25(s52))) <=> ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5595,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s52)) | (~m_main_v_state2(s52, c_c2))))),
% 1.19/1.18 inference(monotonicity,[status(thm)],[5594])).
% 1.19/1.18 tff(5596,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 1.19/1.18 inference(transitivity,[status(thm)],[5595, 5593])).
% 1.19/1.18 tff(5597,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5598,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 1.19/1.18 tff(5599,plain,
% 1.19/1.18 (~always25(s52)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5598, 5478, 4575])).
% 1.19/1.18 tff(5600,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5601,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5602,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 1.19/1.18 tff(5603,plain,
% 1.19/1.18 ((~always25(s51)) | always25(s52)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5602, 5495, 4501])).
% 1.19/1.18 tff(5604,plain,
% 1.19/1.18 (~always25(s51)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5603, 5599])).
% 1.19/1.18 tff(5605,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5606,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5607,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5606, 5605])).
% 1.19/1.18 tff(5608,plain,
% 1.19/1.18 (~node26(s51)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5607, 5510, 5604])).
% 1.19/1.18 tff(5609,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5610,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5611,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 1.19/1.18 tff(5612,plain,
% 1.19/1.18 ((~always25(s50)) | always25(s51)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5611, 5495, 4426])).
% 1.19/1.18 tff(5613,plain,
% 1.19/1.18 (~always25(s50)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5612, 5604])).
% 1.19/1.18 tff(5614,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5615,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5616,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5615, 5614])).
% 1.19/1.18 tff(5617,plain,
% 1.19/1.18 (~node26(s50)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5616, 5510, 5613])).
% 1.19/1.18 tff(5618,plain,
% 1.19/1.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5619,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5620,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 1.19/1.18 tff(5621,plain,
% 1.19/1.18 (~node26(s49)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5620, 5530, 4351])).
% 1.19/1.18 tff(5622,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5623,plain,
% 1.19/1.18 (((~m_main_v_state2(s48, c_c2)) | (~always25(s48))) <=> ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5624,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s48)) | (~m_main_v_state2(s48, c_c2))))),
% 1.19/1.18 inference(monotonicity,[status(thm)],[5623])).
% 1.19/1.18 tff(5625,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 1.19/1.18 inference(transitivity,[status(thm)],[5624, 5622])).
% 1.19/1.18 tff(5626,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5627,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5626, 5625])).
% 1.19/1.18 tff(5628,plain,
% 1.19/1.18 (~always25(s48)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5627, 5478, 4215])).
% 1.19/1.18 tff(5629,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5630,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5631,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 1.19/1.18 tff(5632,plain,
% 1.19/1.18 ((~always25(s47)) | always25(s48)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5631, 5495, 4206])).
% 1.19/1.18 tff(5633,plain,
% 1.19/1.18 (~always25(s47)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5632, 5628])).
% 1.19/1.18 tff(5634,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5635,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5636,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5635, 5634])).
% 1.19/1.18 tff(5637,plain,
% 1.19/1.18 (~node26(s47)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5636, 5510, 5633])).
% 1.19/1.18 tff(5638,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5639,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5640,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5639, 5638])).
% 1.19/1.18 tff(5641,plain,
% 1.19/1.18 ((~always25(s46)) | always25(s47)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5640, 5495, 4128])).
% 1.19/1.18 tff(5642,plain,
% 1.19/1.18 (~always25(s46)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5641, 5633])).
% 1.19/1.18 tff(5643,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5644,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5645,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5644, 5643])).
% 1.19/1.18 tff(5646,plain,
% 1.19/1.18 (~node26(s46)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5645, 5510, 5642])).
% 1.19/1.18 tff(5647,plain,
% 1.19/1.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5648,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5649,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5648, 5647])).
% 1.19/1.18 tff(5650,plain,
% 1.19/1.18 (~node26(s45)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5649, 5530, 4018])).
% 1.19/1.18 tff(5651,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5652,plain,
% 1.19/1.18 (((~m_main_v_state2(s44, c_c2)) | (~always25(s44))) <=> ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5653,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s44)) | (~m_main_v_state2(s44, c_c2))))),
% 1.19/1.18 inference(monotonicity,[status(thm)],[5652])).
% 1.19/1.18 tff(5654,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 1.19/1.18 inference(transitivity,[status(thm)],[5653, 5651])).
% 1.19/1.18 tff(5655,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5656,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 1.19/1.18 tff(5657,plain,
% 1.19/1.18 (~always25(s44)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5656, 5478, 3947])).
% 1.19/1.18 tff(5658,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5659,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5660,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 1.19/1.18 tff(5661,plain,
% 1.19/1.18 ((~always25(s43)) | always25(s44)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5660, 5495, 3873])).
% 1.19/1.18 tff(5662,plain,
% 1.19/1.18 (~always25(s43)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5661, 5657])).
% 1.19/1.18 tff(5663,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5664,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5665,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5664, 5663])).
% 1.19/1.18 tff(5666,plain,
% 1.19/1.18 (~node26(s43)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5665, 5510, 5662])).
% 1.19/1.18 tff(5667,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5668,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5669,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5668, 5667])).
% 1.19/1.18 tff(5670,plain,
% 1.19/1.18 ((~always25(s42)) | always25(s43)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5669, 5495, 3798])).
% 1.19/1.18 tff(5671,plain,
% 1.19/1.18 (~always25(s42)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5670, 5662])).
% 1.19/1.18 tff(5672,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5673,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5674,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 1.19/1.18 tff(5675,plain,
% 1.19/1.18 (~node26(s42)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5674, 5510, 5671])).
% 1.19/1.18 tff(5676,plain,
% 1.19/1.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5677,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5678,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5677, 5676])).
% 1.19/1.18 tff(5679,plain,
% 1.19/1.18 (~node26(s41)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5678, 5530, 3723])).
% 1.19/1.18 tff(5680,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5681,plain,
% 1.19/1.18 (((~m_main_v_state2(s40, c_c2)) | (~always25(s40))) <=> ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5682,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s40)) | (~m_main_v_state2(s40, c_c2))))),
% 1.19/1.18 inference(monotonicity,[status(thm)],[5681])).
% 1.19/1.18 tff(5683,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 1.19/1.18 inference(transitivity,[status(thm)],[5682, 5680])).
% 1.19/1.18 tff(5684,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5685,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5684, 5683])).
% 1.19/1.18 tff(5686,plain,
% 1.19/1.18 (~always25(s40)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5685, 5478, 3587])).
% 1.19/1.18 tff(5687,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5688,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5689,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 1.19/1.18 tff(5690,plain,
% 1.19/1.18 ((~always25(s39)) | always25(s40)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5689, 5495, 3578])).
% 1.19/1.18 tff(5691,plain,
% 1.19/1.18 (~always25(s39)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5690, 5686])).
% 1.19/1.18 tff(5692,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5693,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5694,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 1.19/1.18 tff(5695,plain,
% 1.19/1.18 (~node26(s39)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5694, 5510, 5691])).
% 1.19/1.18 tff(5696,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5697,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5698,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5697, 5696])).
% 1.19/1.18 tff(5699,plain,
% 1.19/1.18 ((~always25(s38)) | always25(s39)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5698, 5495, 3500])).
% 1.19/1.18 tff(5700,plain,
% 1.19/1.18 (~always25(s38)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5699, 5691])).
% 1.19/1.18 tff(5701,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5702,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5703,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 1.19/1.18 tff(5704,plain,
% 1.19/1.18 (~node26(s38)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5703, 5510, 5700])).
% 1.19/1.18 tff(5705,plain,
% 1.19/1.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5706,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5707,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 1.19/1.18 tff(5708,plain,
% 1.19/1.18 (~node26(s37)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5707, 5530, 3390])).
% 1.19/1.18 tff(5709,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5710,plain,
% 1.19/1.18 (((~m_main_v_state2(s36, c_c2)) | (~always25(s36))) <=> ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5711,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s36)) | (~m_main_v_state2(s36, c_c2))))),
% 1.19/1.18 inference(monotonicity,[status(thm)],[5710])).
% 1.19/1.18 tff(5712,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 1.19/1.18 inference(transitivity,[status(thm)],[5711, 5709])).
% 1.19/1.18 tff(5713,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5714,plain,
% 1.19/1.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5713, 5712])).
% 1.19/1.18 tff(5715,plain,
% 1.19/1.18 (~always25(s36)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5714, 5478, 3319])).
% 1.19/1.18 tff(5716,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5717,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5718,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5717, 5716])).
% 1.19/1.18 tff(5719,plain,
% 1.19/1.18 ((~always25(s35)) | always25(s36)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5718, 5495, 3245])).
% 1.19/1.18 tff(5720,plain,
% 1.19/1.18 (~always25(s35)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5719, 5715])).
% 1.19/1.18 tff(5721,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5722,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5723,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 1.19/1.18 tff(5724,plain,
% 1.19/1.18 (~node26(s35)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5723, 5510, 5720])).
% 1.19/1.18 tff(5725,plain,
% 1.19/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5726,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5727,plain,
% 1.19/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35)),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 1.19/1.18 tff(5728,plain,
% 1.19/1.18 ((~always25(s34)) | always25(s35)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5727, 5495, 3170])).
% 1.19/1.18 tff(5729,plain,
% 1.19/1.18 (~always25(s34)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5728, 5720])).
% 1.19/1.18 tff(5730,plain,
% 1.19/1.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5731,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5732,plain,
% 1.19/1.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 1.19/1.18 tff(5733,plain,
% 1.19/1.18 (~node26(s34)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5732, 5510, 5729])).
% 1.19/1.18 tff(5734,plain,
% 1.19/1.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 1.19/1.18 inference(rewrite,[status(thm)],[])).
% 1.19/1.18 tff(5735,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 1.19/1.18 inference(quant_inst,[status(thm)],[])).
% 1.19/1.18 tff(5736,plain,
% 1.19/1.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33))),
% 1.19/1.18 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 1.19/1.18 tff(5737,plain,
% 1.19/1.18 (~node26(s33)),
% 1.19/1.18 inference(unit_resolution,[status(thm)],[5736, 5530, 3095])).
% 1.19/1.18 tff(5738,plain,
% 1.19/1.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5739,plain,
% 1.19/1.19 (((~m_main_v_state2(s32, c_c2)) | (~always25(s32))) <=> ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5740,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s32)) | (~m_main_v_state2(s32, c_c2))))),
% 1.19/1.19 inference(monotonicity,[status(thm)],[5739])).
% 1.19/1.19 tff(5741,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 1.19/1.19 inference(transitivity,[status(thm)],[5740, 5738])).
% 1.19/1.19 tff(5742,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5743,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5742, 5741])).
% 1.19/1.19 tff(5744,plain,
% 1.19/1.19 (~always25(s32)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5743, 5478, 2959])).
% 1.19/1.19 tff(5745,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5746,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5747,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5746, 5745])).
% 1.19/1.19 tff(5748,plain,
% 1.19/1.19 ((~always25(s31)) | always25(s32)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5747, 5495, 2950])).
% 1.19/1.19 tff(5749,plain,
% 1.19/1.19 (~always25(s31)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5748, 5744])).
% 1.19/1.19 tff(5750,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5751,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5752,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 1.19/1.19 tff(5753,plain,
% 1.19/1.19 (~node26(s31)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5752, 5510, 5749])).
% 1.19/1.19 tff(5754,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5755,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5756,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 1.19/1.19 tff(5757,plain,
% 1.19/1.19 ((~always25(s30)) | always25(s31)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5756, 5495, 2872])).
% 1.19/1.19 tff(5758,plain,
% 1.19/1.19 (~always25(s30)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5757, 5749])).
% 1.19/1.19 tff(5759,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5760,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5761,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 1.19/1.19 tff(5762,plain,
% 1.19/1.19 (~node26(s30)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5761, 5510, 5758])).
% 1.19/1.19 tff(5763,plain,
% 1.19/1.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5764,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5765,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5764, 5763])).
% 1.19/1.19 tff(5766,plain,
% 1.19/1.19 (~node26(s29)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5765, 5530, 2762])).
% 1.19/1.19 tff(5767,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5768,plain,
% 1.19/1.19 (((~m_main_v_state2(s28, c_c2)) | (~always25(s28))) <=> ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5769,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s28)) | (~m_main_v_state2(s28, c_c2))))),
% 1.19/1.19 inference(monotonicity,[status(thm)],[5768])).
% 1.19/1.19 tff(5770,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 1.19/1.19 inference(transitivity,[status(thm)],[5769, 5767])).
% 1.19/1.19 tff(5771,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5772,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 1.19/1.19 tff(5773,plain,
% 1.19/1.19 (~always25(s28)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5772, 5478, 2691])).
% 1.19/1.19 tff(5774,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5775,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5776,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 1.19/1.19 tff(5777,plain,
% 1.19/1.19 ((~always25(s27)) | always25(s28)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5776, 5495, 2617])).
% 1.19/1.19 tff(5778,plain,
% 1.19/1.19 (~always25(s27)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5777, 5773])).
% 1.19/1.19 tff(5779,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5780,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5781,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5780, 5779])).
% 1.19/1.19 tff(5782,plain,
% 1.19/1.19 (~node26(s27)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5781, 5510, 5778])).
% 1.19/1.19 tff(5783,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5784,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5785,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 1.19/1.19 tff(5786,plain,
% 1.19/1.19 ((~always25(s26)) | always25(s27)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5785, 5495, 2542])).
% 1.19/1.19 tff(5787,plain,
% 1.19/1.19 (~always25(s26)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5786, 5778])).
% 1.19/1.19 tff(5788,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5789,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5790,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5789, 5788])).
% 1.19/1.19 tff(5791,plain,
% 1.19/1.19 (~node26(s26)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5790, 5510, 5787])).
% 1.19/1.19 tff(5792,plain,
% 1.19/1.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5793,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5794,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 1.19/1.19 tff(5795,plain,
% 1.19/1.19 (~node26(s25)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5794, 5530, 2467])).
% 1.19/1.19 tff(5796,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5797,plain,
% 1.19/1.19 (((~m_main_v_state2(s24, c_c2)) | (~always25(s24))) <=> ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5798,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s24)) | (~m_main_v_state2(s24, c_c2))))),
% 1.19/1.19 inference(monotonicity,[status(thm)],[5797])).
% 1.19/1.19 tff(5799,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 1.19/1.19 inference(transitivity,[status(thm)],[5798, 5796])).
% 1.19/1.19 tff(5800,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5801,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5800, 5799])).
% 1.19/1.19 tff(5802,plain,
% 1.19/1.19 (~always25(s24)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5801, 5478, 2331])).
% 1.19/1.19 tff(5803,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5804,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5805,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 1.19/1.19 tff(5806,plain,
% 1.19/1.19 ((~always25(s23)) | always25(s24)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5805, 5495, 2322])).
% 1.19/1.19 tff(5807,plain,
% 1.19/1.19 (~always25(s23)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5806, 5802])).
% 1.19/1.19 tff(5808,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5809,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5810,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5809, 5808])).
% 1.19/1.19 tff(5811,plain,
% 1.19/1.19 (~node26(s23)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5810, 5510, 5807])).
% 1.19/1.19 tff(5812,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5813,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5814,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5813, 5812])).
% 1.19/1.19 tff(5815,plain,
% 1.19/1.19 ((~always25(s22)) | always25(s23)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5814, 5495, 2244])).
% 1.19/1.19 tff(5816,plain,
% 1.19/1.19 (~always25(s22)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5815, 5807])).
% 1.19/1.19 tff(5817,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5818,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5819,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5818, 5817])).
% 1.19/1.19 tff(5820,plain,
% 1.19/1.19 (~node26(s22)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5819, 5510, 5816])).
% 1.19/1.19 tff(5821,plain,
% 1.19/1.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5822,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5823,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5822, 5821])).
% 1.19/1.19 tff(5824,plain,
% 1.19/1.19 (~node26(s21)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5823, 5530, 2134])).
% 1.19/1.19 tff(5825,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5826,plain,
% 1.19/1.19 (((~m_main_v_state2(s20, c_c2)) | (~always25(s20))) <=> ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5827,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s20)) | (~m_main_v_state2(s20, c_c2))))),
% 1.19/1.19 inference(monotonicity,[status(thm)],[5826])).
% 1.19/1.19 tff(5828,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 1.19/1.19 inference(transitivity,[status(thm)],[5827, 5825])).
% 1.19/1.19 tff(5829,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5830,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5829, 5828])).
% 1.19/1.19 tff(5831,plain,
% 1.19/1.19 (~always25(s20)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5830, 5478, 2063])).
% 1.19/1.19 tff(5832,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5833,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5834,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5833, 5832])).
% 1.19/1.19 tff(5835,plain,
% 1.19/1.19 ((~always25(s19)) | always25(s20)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5834, 5495, 1989])).
% 1.19/1.19 tff(5836,plain,
% 1.19/1.19 (~always25(s19)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5835, 5831])).
% 1.19/1.19 tff(5837,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5838,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5839,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5838, 5837])).
% 1.19/1.19 tff(5840,plain,
% 1.19/1.19 (~node26(s19)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5839, 5510, 5836])).
% 1.19/1.19 tff(5841,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5842,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5843,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5842, 5841])).
% 1.19/1.19 tff(5844,plain,
% 1.19/1.19 ((~always25(s18)) | always25(s19)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5843, 5495, 1914])).
% 1.19/1.19 tff(5845,plain,
% 1.19/1.19 (~always25(s18)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5844, 5836])).
% 1.19/1.19 tff(5846,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5847,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5848,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 1.19/1.19 tff(5849,plain,
% 1.19/1.19 (~node26(s18)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5848, 5510, 5845])).
% 1.19/1.19 tff(5850,plain,
% 1.19/1.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5851,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5852,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 1.19/1.19 tff(5853,plain,
% 1.19/1.19 (~node26(s17)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5852, 5530, 1839])).
% 1.19/1.19 tff(5854,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5855,plain,
% 1.19/1.19 (((~m_main_v_state2(s16, c_c2)) | (~always25(s16))) <=> ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5856,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s16)) | (~m_main_v_state2(s16, c_c2))))),
% 1.19/1.19 inference(monotonicity,[status(thm)],[5855])).
% 1.19/1.19 tff(5857,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 1.19/1.19 inference(transitivity,[status(thm)],[5856, 5854])).
% 1.19/1.19 tff(5858,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5859,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5858, 5857])).
% 1.19/1.19 tff(5860,plain,
% 1.19/1.19 (~always25(s16)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5859, 5478, 1703])).
% 1.19/1.19 tff(5861,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5862,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5863,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5862, 5861])).
% 1.19/1.19 tff(5864,plain,
% 1.19/1.19 ((~always25(s15)) | always25(s16)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5863, 5495, 1694])).
% 1.19/1.19 tff(5865,plain,
% 1.19/1.19 (~always25(s15)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5864, 5860])).
% 1.19/1.19 tff(5866,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5867,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5868,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 1.19/1.19 tff(5869,plain,
% 1.19/1.19 (~node26(s15)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5868, 5510, 5865])).
% 1.19/1.19 tff(5870,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5871,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5872,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 1.19/1.19 tff(5873,plain,
% 1.19/1.19 ((~always25(s14)) | always25(s15)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5872, 5495, 1616])).
% 1.19/1.19 tff(5874,plain,
% 1.19/1.19 (~always25(s14)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5873, 5865])).
% 1.19/1.19 tff(5875,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5876,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5877,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 1.19/1.19 tff(5878,plain,
% 1.19/1.19 (~node26(s14)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5877, 5510, 5874])).
% 1.19/1.19 tff(5879,plain,
% 1.19/1.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5880,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5881,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 1.19/1.19 tff(5882,plain,
% 1.19/1.19 (~node26(s13)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5881, 5530, 1506])).
% 1.19/1.19 tff(5883,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5884,plain,
% 1.19/1.19 (((~m_main_v_state2(s12, c_c2)) | (~always25(s12))) <=> ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5885,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s12)) | (~m_main_v_state2(s12, c_c2))))),
% 1.19/1.19 inference(monotonicity,[status(thm)],[5884])).
% 1.19/1.19 tff(5886,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 1.19/1.19 inference(transitivity,[status(thm)],[5885, 5883])).
% 1.19/1.19 tff(5887,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5888,plain,
% 1.19/1.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 1.19/1.19 tff(5889,plain,
% 1.19/1.19 (~always25(s12)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5888, 5478, 1435])).
% 1.19/1.19 tff(5890,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5891,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5892,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5891, 5890])).
% 1.19/1.19 tff(5893,plain,
% 1.19/1.19 ((~always25(s11)) | always25(s12)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5892, 5495, 1361])).
% 1.19/1.19 tff(5894,plain,
% 1.19/1.19 (~always25(s11)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5893, 5889])).
% 1.19/1.19 tff(5895,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5896,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5897,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 1.19/1.19 tff(5898,plain,
% 1.19/1.19 (~node26(s11)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5897, 5510, 5894])).
% 1.19/1.19 tff(5899,plain,
% 1.19/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5900,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5901,plain,
% 1.19/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11)),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5900, 5899])).
% 1.19/1.19 tff(5902,plain,
% 1.19/1.19 ((~always25(s10)) | always25(s11)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5901, 5495, 1286])).
% 1.19/1.19 tff(5903,plain,
% 1.19/1.19 (~always25(s10)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5902, 5894])).
% 1.19/1.19 tff(5904,plain,
% 1.19/1.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5905,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5906,plain,
% 1.19/1.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 1.19/1.19 tff(5907,plain,
% 1.19/1.19 (~node26(s10)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5906, 5510, 5903])).
% 1.19/1.19 tff(5908,plain,
% 1.19/1.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 1.19/1.19 inference(rewrite,[status(thm)],[])).
% 1.19/1.19 tff(5909,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 1.19/1.19 inference(quant_inst,[status(thm)],[])).
% 1.19/1.19 tff(5910,plain,
% 1.19/1.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9))),
% 1.19/1.19 inference(modus_ponens,[status(thm)],[5909, 5908])).
% 1.19/1.19 tff(5911,plain,
% 1.19/1.19 (~node26(s9)),
% 1.19/1.19 inference(unit_resolution,[status(thm)],[5910, 5530, 1211])).
% 1.19/1.19 tff(5912,plain,
% 1.19/1.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5913,plain,
% 1.19/1.20 (((~m_main_v_state2(s8, c_c2)) | (~always25(s8))) <=> ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5914,plain,
% 1.19/1.20 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s8)) | (~m_main_v_state2(s8, c_c2))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[5913])).
% 1.19/1.20 tff(5915,plain,
% 1.19/1.20 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[5914, 5912])).
% 1.19/1.20 tff(5916,plain,
% 1.19/1.20 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5917,plain,
% 1.19/1.20 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5916, 5915])).
% 1.19/1.20 tff(5918,plain,
% 1.19/1.20 (~always25(s8)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5917, 5478, 1075])).
% 1.19/1.20 tff(5919,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5920,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5921,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5920, 5919])).
% 1.19/1.20 tff(5922,plain,
% 1.19/1.20 ((~always25(s7)) | always25(s8)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5921, 5495, 1066])).
% 1.19/1.20 tff(5923,plain,
% 1.19/1.20 (~always25(s7)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5922, 5918])).
% 1.19/1.20 tff(5924,plain,
% 1.19/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5925,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5926,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 1.19/1.20 tff(5927,plain,
% 1.19/1.20 (~node26(s7)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5926, 5510, 5923])).
% 1.19/1.20 tff(5928,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5929,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5930,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 1.19/1.20 tff(5931,plain,
% 1.19/1.20 ((~always25(s6)) | always25(s7)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5930, 5495, 988])).
% 1.19/1.20 tff(5932,plain,
% 1.19/1.20 (~always25(s6)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5931, 5923])).
% 1.19/1.20 tff(5933,plain,
% 1.19/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5934,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5935,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 1.19/1.20 tff(5936,plain,
% 1.19/1.20 (~node26(s6)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5935, 5510, 5932])).
% 1.19/1.20 tff(5937,plain,
% 1.19/1.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5938,plain,
% 1.19/1.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5939,plain,
% 1.19/1.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 1.19/1.20 tff(5940,plain,
% 1.19/1.20 (~node26(s5)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5939, 5530, 838])).
% 1.19/1.20 tff(5941,plain,
% 1.19/1.20 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5942,plain,
% 1.19/1.20 (((~m_main_v_state2(s4, c_c2)) | (~always25(s4))) <=> ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5943,plain,
% 1.19/1.20 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s4)) | (~m_main_v_state2(s4, c_c2))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[5942])).
% 1.19/1.20 tff(5944,plain,
% 1.19/1.20 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[5943, 5941])).
% 1.19/1.20 tff(5945,plain,
% 1.19/1.20 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5946,plain,
% 1.19/1.20 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 1.19/1.20 tff(5947,plain,
% 1.19/1.20 (~always25(s4)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5946, 5478, 709])).
% 1.19/1.20 tff(5948,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5949,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5950,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 1.19/1.20 tff(5951,plain,
% 1.19/1.20 ((~always25(s3)) | always25(s4)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5950, 5495, 584])).
% 1.19/1.20 tff(5952,plain,
% 1.19/1.20 (~always25(s3)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5951, 5947])).
% 1.19/1.20 tff(5953,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5954,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5955,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 1.19/1.20 tff(5956,plain,
% 1.19/1.20 ((~always25(s2)) | always25(s3)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5955, 5495, 464])).
% 1.19/1.20 tff(5957,plain,
% 1.19/1.20 (~always25(s2)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5956, 5952])).
% 1.19/1.20 tff(5958,plain,
% 1.19/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5959,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5960,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5959, 5958])).
% 1.19/1.20 tff(5961,plain,
% 1.19/1.20 (~node26(s2)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5960, 5510, 5957])).
% 1.19/1.20 tff(5962,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5963,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5964,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 1.19/1.20 tff(5965,plain,
% 1.19/1.20 ((~always25(s1)) | always25(s2)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5964, 5495, 260])).
% 1.19/1.20 tff(5966,plain,
% 1.19/1.20 (~always25(s1)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5965, 5957])).
% 1.19/1.20 tff(5967,plain,
% 1.19/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5968,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5969,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5968, 5967])).
% 1.19/1.20 tff(5970,plain,
% 1.19/1.20 (~node26(s1)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5969, 5510, 5966])).
% 1.19/1.20 tff(5971,plain,
% 1.19/1.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5972,plain,
% 1.19/1.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5973,plain,
% 1.19/1.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5972, 5971])).
% 1.19/1.20 tff(5974,plain,
% 1.19/1.20 (~node26(s0)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5973, 5530, 14])).
% 1.19/1.20 tff(5975,plain,
% 1.19/1.20 (until27(s0) <=> until27(s0)),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5976,axiom,(until27(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty26')).
% 1.19/1.20 tff(5977,plain,
% 1.19/1.20 (until27(s0)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 1.19/1.20 tff(5978,plain,
% 1.19/1.20 (^[X: $i] : refl((node26(X) | (~until27(X)) | xuntil28(X)) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 1.19/1.20 inference(bind,[status(th)],[])).
% 1.19/1.20 tff(5979,plain,
% 1.19/1.20 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(quant_intro,[status(thm)],[5978])).
% 1.19/1.20 tff(5980,plain,
% 1.19/1.20 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5981,plain,
% 1.19/1.20 (^[X: $i] : rewrite(((node26(X) | xuntil28(X)) | (~until27(X))) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 1.19/1.20 inference(bind,[status(th)],[])).
% 1.19/1.20 tff(5982,plain,
% 1.19/1.20 (![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X))) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(quant_intro,[status(thm)],[5981])).
% 1.19/1.20 tff(5983,axiom,(![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty19')).
% 1.19/1.20 tff(5984,plain,
% 1.19/1.20 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 1.19/1.20 tff(5985,plain,
% 1.19/1.20 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5984, 5980])).
% 1.19/1.20 tff(5986,plain,(
% 1.19/1.20 ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(skolemize,[status(sab)],[5985])).
% 1.19/1.20 tff(5987,plain,
% 1.19/1.20 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5986, 5979])).
% 1.19/1.20 tff(5988,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s0) | node26(s0) | (~until27(s0)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5989,plain,
% 1.19/1.20 ((node26(s0) | (~until27(s0)) | xuntil28(s0)) <=> (xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5990,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s0) | node26(s0) | (~until27(s0))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[5989])).
% 1.19/1.20 tff(5991,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[5990, 5988])).
% 1.19/1.20 tff(5992,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(5993,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[5992, 5991])).
% 1.19/1.20 tff(5994,plain,
% 1.19/1.20 (xuntil28(s0) | node26(s0)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5993, 5987, 5977])).
% 1.19/1.20 tff(5995,plain,
% 1.19/1.20 (xuntil28(s0)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[5994, 5974])).
% 1.19/1.20 tff(5996,plain,
% 1.19/1.20 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 1.19/1.20 inference(bind,[status(th)],[])).
% 1.19/1.20 tff(5997,plain,
% 1.19/1.20 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(quant_intro,[status(thm)],[5996])).
% 1.19/1.20 tff(5998,plain,
% 1.19/1.20 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(5999,plain,
% 1.19/1.20 (^[Y: $i, X: $i] : rewrite(((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 1.19/1.20 inference(bind,[status(th)],[])).
% 1.19/1.20 tff(6000,plain,
% 1.19/1.20 (![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(quant_intro,[status(thm)],[5999])).
% 1.19/1.20 tff(6001,axiom,(![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty20')).
% 1.19/1.20 tff(6002,plain,
% 1.19/1.20 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6001, 6000])).
% 1.19/1.20 tff(6003,plain,
% 1.19/1.20 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6002, 5998])).
% 1.19/1.20 tff(6004,plain,(
% 1.19/1.20 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(skolemize,[status(sab)],[6003])).
% 1.19/1.20 tff(6005,plain,
% 1.19/1.20 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6004, 5997])).
% 1.19/1.20 tff(6006,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6007,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6008,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 1.19/1.20 tff(6009,plain,
% 1.19/1.20 ((~xuntil28(s0)) | until27(s1)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6008, 60, 6005])).
% 1.19/1.20 tff(6010,plain,
% 1.19/1.20 (until27(s1)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6009, 5995])).
% 1.19/1.20 tff(6011,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6012,plain,
% 1.19/1.20 ((node26(s1) | (~until27(s1)) | xuntil28(s1)) <=> (xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6013,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[6012])).
% 1.19/1.20 tff(6014,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[6013, 6011])).
% 1.19/1.20 tff(6015,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6016,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6015, 6014])).
% 1.19/1.20 tff(6017,plain,
% 1.19/1.20 (xuntil28(s1) | node26(s1)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6016, 5987, 6010])).
% 1.19/1.20 tff(6018,plain,
% 1.19/1.20 (xuntil28(s1)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6017, 5970])).
% 1.19/1.20 tff(6019,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6020,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6021,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6020, 6019])).
% 1.19/1.20 tff(6022,plain,
% 1.19/1.20 ((~xuntil28(s1)) | until27(s2)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6021, 256, 6005])).
% 1.19/1.20 tff(6023,plain,
% 1.19/1.20 (until27(s2)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6022, 6018])).
% 1.19/1.20 tff(6024,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6025,plain,
% 1.19/1.20 ((node26(s2) | (~until27(s2)) | xuntil28(s2)) <=> (xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6026,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[6025])).
% 1.19/1.20 tff(6027,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[6026, 6024])).
% 1.19/1.20 tff(6028,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6029,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 1.19/1.20 tff(6030,plain,
% 1.19/1.20 (xuntil28(s2)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6029, 5987, 6023, 5961])).
% 1.19/1.20 tff(6031,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6032,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6033,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6032, 6031])).
% 1.19/1.20 tff(6034,plain,
% 1.19/1.20 ((~xuntil28(s2)) | until27(s3)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6033, 460, 6005])).
% 1.19/1.20 tff(6035,plain,
% 1.19/1.20 (until27(s3)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6034, 6030])).
% 1.19/1.20 tff(6036,plain,
% 1.19/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6037,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6038,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6037, 6036])).
% 1.19/1.20 tff(6039,plain,
% 1.19/1.20 (~node26(s3)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6038, 5510, 5952])).
% 1.19/1.20 tff(6040,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s3) | node26(s3) | (~until27(s3)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6041,plain,
% 1.19/1.20 ((node26(s3) | (~until27(s3)) | xuntil28(s3)) <=> (xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6042,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s3) | node26(s3) | (~until27(s3))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[6041])).
% 1.19/1.20 tff(6043,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[6042, 6040])).
% 1.19/1.20 tff(6044,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6045,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6044, 6043])).
% 1.19/1.20 tff(6046,plain,
% 1.19/1.20 (xuntil28(s3) | (~until27(s3))),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6045, 5987, 6039])).
% 1.19/1.20 tff(6047,plain,
% 1.19/1.20 (xuntil28(s3)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6046, 6035])).
% 1.19/1.20 tff(6048,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6049,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6050,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6049, 6048])).
% 1.19/1.20 tff(6051,plain,
% 1.19/1.20 ((~xuntil28(s3)) | until27(s4)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6050, 580, 6005])).
% 1.19/1.20 tff(6052,plain,
% 1.19/1.20 (until27(s4)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6051, 6047])).
% 1.19/1.20 tff(6053,plain,
% 1.19/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6054,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6055,plain,
% 1.19/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 1.19/1.20 tff(6056,plain,
% 1.19/1.20 (~node26(s4)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6055, 5510, 5947])).
% 1.19/1.20 tff(6057,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s4) | node26(s4) | (~until27(s4)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6058,plain,
% 1.19/1.20 ((node26(s4) | (~until27(s4)) | xuntil28(s4)) <=> (xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6059,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s4) | node26(s4) | (~until27(s4))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[6058])).
% 1.19/1.20 tff(6060,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[6059, 6057])).
% 1.19/1.20 tff(6061,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6062,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 1.19/1.20 tff(6063,plain,
% 1.19/1.20 (xuntil28(s4) | (~until27(s4))),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6062, 5987, 6056])).
% 1.19/1.20 tff(6064,plain,
% 1.19/1.20 (xuntil28(s4)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6063, 6052])).
% 1.19/1.20 tff(6065,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6066,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6067,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 1.19/1.20 tff(6068,plain,
% 1.19/1.20 ((~xuntil28(s4)) | until27(s5)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6067, 727, 6005])).
% 1.19/1.20 tff(6069,plain,
% 1.19/1.20 (until27(s5)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6068, 6064])).
% 1.19/1.20 tff(6070,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s5) | node26(s5) | (~until27(s5)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6071,plain,
% 1.19/1.20 ((node26(s5) | (~until27(s5)) | xuntil28(s5)) <=> (xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6072,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s5) | node26(s5) | (~until27(s5))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[6071])).
% 1.19/1.20 tff(6073,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[6072, 6070])).
% 1.19/1.20 tff(6074,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6075,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6074, 6073])).
% 1.19/1.20 tff(6076,plain,
% 1.19/1.20 (xuntil28(s5)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6075, 5987, 6069, 5940])).
% 1.19/1.20 tff(6077,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6078,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6079,plain,
% 1.19/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6)),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6078, 6077])).
% 1.19/1.20 tff(6080,plain,
% 1.19/1.20 ((~xuntil28(s5)) | until27(s6)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6079, 845, 6005])).
% 1.19/1.20 tff(6081,plain,
% 1.19/1.20 (until27(s6)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6080, 6076])).
% 1.19/1.20 tff(6082,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6083,plain,
% 1.19/1.20 ((node26(s6) | (~until27(s6)) | xuntil28(s6)) <=> (xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 1.19/1.20 inference(rewrite,[status(thm)],[])).
% 1.19/1.20 tff(6084,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6))))),
% 1.19/1.20 inference(monotonicity,[status(thm)],[6083])).
% 1.19/1.20 tff(6085,plain,
% 1.19/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 1.19/1.20 inference(transitivity,[status(thm)],[6084, 6082])).
% 1.19/1.20 tff(6086,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))),
% 1.19/1.20 inference(quant_inst,[status(thm)],[])).
% 1.19/1.20 tff(6087,plain,
% 1.19/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6))),
% 1.19/1.20 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 1.19/1.20 tff(6088,plain,
% 1.19/1.20 (xuntil28(s6) | node26(s6)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6087, 5987, 6081])).
% 1.19/1.20 tff(6089,plain,
% 1.19/1.20 (xuntil28(s6)),
% 1.19/1.20 inference(unit_resolution,[status(thm)],[6088, 5936])).
% 1.19/1.20 tff(6090,plain,
% 1.19/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6091,plain,
% 1.23/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 1.23/1.20 inference(quant_inst,[status(thm)],[])).
% 1.23/1.20 tff(6092,plain,
% 1.23/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7)),
% 1.23/1.20 inference(modus_ponens,[status(thm)],[6091, 6090])).
% 1.23/1.20 tff(6093,plain,
% 1.23/1.20 ((~xuntil28(s6)) | until27(s7)),
% 1.23/1.20 inference(unit_resolution,[status(thm)],[6092, 984, 6005])).
% 1.23/1.20 tff(6094,plain,
% 1.23/1.20 (until27(s7)),
% 1.23/1.20 inference(unit_resolution,[status(thm)],[6093, 6089])).
% 1.23/1.20 tff(6095,plain,
% 1.23/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6096,plain,
% 1.23/1.20 ((node26(s7) | (~until27(s7)) | xuntil28(s7)) <=> (xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6097,plain,
% 1.23/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7))))),
% 1.23/1.20 inference(monotonicity,[status(thm)],[6096])).
% 1.23/1.20 tff(6098,plain,
% 1.23/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 1.23/1.20 inference(transitivity,[status(thm)],[6097, 6095])).
% 1.23/1.20 tff(6099,plain,
% 1.23/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))),
% 1.23/1.20 inference(quant_inst,[status(thm)],[])).
% 1.23/1.20 tff(6100,plain,
% 1.23/1.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7))),
% 1.23/1.20 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 1.23/1.20 tff(6101,plain,
% 1.23/1.20 (xuntil28(s7)),
% 1.23/1.20 inference(unit_resolution,[status(thm)],[6100, 5987, 6094, 5927])).
% 1.23/1.20 tff(6102,plain,
% 1.23/1.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6103,plain,
% 1.23/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 1.23/1.20 inference(quant_inst,[status(thm)],[])).
% 1.23/1.20 tff(6104,plain,
% 1.23/1.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8)),
% 1.23/1.20 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 1.23/1.20 tff(6105,plain,
% 1.23/1.20 ((~xuntil28(s7)) | until27(s8)),
% 1.23/1.20 inference(unit_resolution,[status(thm)],[6104, 1062, 6005])).
% 1.23/1.20 tff(6106,plain,
% 1.23/1.20 (until27(s8)),
% 1.23/1.20 inference(unit_resolution,[status(thm)],[6105, 6101])).
% 1.23/1.20 tff(6107,plain,
% 1.23/1.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8)))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6108,plain,
% 1.23/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))),
% 1.23/1.20 inference(quant_inst,[status(thm)],[])).
% 1.23/1.20 tff(6109,plain,
% 1.23/1.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8))),
% 1.23/1.20 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 1.23/1.20 tff(6110,plain,
% 1.23/1.20 (~node26(s8)),
% 1.23/1.20 inference(unit_resolution,[status(thm)],[6109, 5510, 5918])).
% 1.23/1.20 tff(6111,plain,
% 1.23/1.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6112,plain,
% 1.23/1.20 ((node26(s8) | (~until27(s8)) | xuntil28(s8)) <=> (xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 1.23/1.20 inference(rewrite,[status(thm)],[])).
% 1.23/1.20 tff(6113,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6112])).
% 1.23/1.21 tff(6114,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6113, 6111])).
% 1.23/1.21 tff(6115,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6116,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 1.23/1.21 tff(6117,plain,
% 1.23/1.21 (xuntil28(s8) | (~until27(s8))),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6116, 5987, 6110])).
% 1.23/1.21 tff(6118,plain,
% 1.23/1.21 (xuntil28(s8)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6117, 6106])).
% 1.23/1.21 tff(6119,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6120,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6121,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 1.23/1.21 tff(6122,plain,
% 1.23/1.21 ((~xuntil28(s8)) | until27(s9)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6121, 1123, 6005])).
% 1.23/1.21 tff(6123,plain,
% 1.23/1.21 (until27(s9)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6122, 6118])).
% 1.23/1.21 tff(6124,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s9) | node26(s9) | (~until27(s9)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6125,plain,
% 1.23/1.21 ((node26(s9) | (~until27(s9)) | xuntil28(s9)) <=> (xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6126,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s9) | node26(s9) | (~until27(s9))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6125])).
% 1.23/1.21 tff(6127,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6126, 6124])).
% 1.23/1.21 tff(6128,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6129,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6128, 6127])).
% 1.23/1.21 tff(6130,plain,
% 1.23/1.21 (xuntil28(s9)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6129, 5987, 6123, 5911])).
% 1.23/1.21 tff(6131,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6132,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6133,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6132, 6131])).
% 1.23/1.21 tff(6134,plain,
% 1.23/1.21 ((~xuntil28(s9)) | until27(s10)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6133, 1218, 6005])).
% 1.23/1.21 tff(6135,plain,
% 1.23/1.21 (until27(s10)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6134, 6130])).
% 1.23/1.21 tff(6136,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s10) | node26(s10) | (~until27(s10)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6137,plain,
% 1.23/1.21 ((node26(s10) | (~until27(s10)) | xuntil28(s10)) <=> (xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6138,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s10) | node26(s10) | (~until27(s10))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6137])).
% 1.23/1.21 tff(6139,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6138, 6136])).
% 1.23/1.21 tff(6140,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6141,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 1.23/1.21 tff(6142,plain,
% 1.23/1.21 (xuntil28(s10) | node26(s10)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6141, 5987, 6135])).
% 1.23/1.21 tff(6143,plain,
% 1.23/1.21 (xuntil28(s10)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6142, 5907])).
% 1.23/1.21 tff(6144,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6145,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6146,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6145, 6144])).
% 1.23/1.21 tff(6147,plain,
% 1.23/1.21 ((~xuntil28(s10)) | until27(s11)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6146, 1282, 6005])).
% 1.23/1.21 tff(6148,plain,
% 1.23/1.21 (until27(s11)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6147, 6143])).
% 1.23/1.21 tff(6149,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s11) | node26(s11) | (~until27(s11)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6150,plain,
% 1.23/1.21 ((node26(s11) | (~until27(s11)) | xuntil28(s11)) <=> (xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6151,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s11) | node26(s11) | (~until27(s11))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6150])).
% 1.23/1.21 tff(6152,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6151, 6149])).
% 1.23/1.21 tff(6153,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6154,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6153, 6152])).
% 1.23/1.21 tff(6155,plain,
% 1.23/1.21 (xuntil28(s11)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6154, 5987, 6148, 5898])).
% 1.23/1.21 tff(6156,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6157,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6158,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 1.23/1.21 tff(6159,plain,
% 1.23/1.21 ((~xuntil28(s11)) | until27(s12)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6158, 1357, 6005])).
% 1.23/1.21 tff(6160,plain,
% 1.23/1.21 (until27(s12)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6159, 6155])).
% 1.23/1.21 tff(6161,plain,
% 1.23/1.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6162,plain,
% 1.23/1.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6163,plain,
% 1.23/1.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 1.23/1.21 tff(6164,plain,
% 1.23/1.21 (~node26(s12)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6163, 5510, 5889])).
% 1.23/1.21 tff(6165,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s12) | node26(s12) | (~until27(s12)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6166,plain,
% 1.23/1.21 ((node26(s12) | (~until27(s12)) | xuntil28(s12)) <=> (xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6167,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s12) | node26(s12) | (~until27(s12))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6166])).
% 1.23/1.21 tff(6168,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6167, 6165])).
% 1.23/1.21 tff(6169,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6170,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6169, 6168])).
% 1.23/1.21 tff(6171,plain,
% 1.23/1.21 (xuntil28(s12) | (~until27(s12))),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6170, 5987, 6164])).
% 1.23/1.21 tff(6172,plain,
% 1.23/1.21 (xuntil28(s12)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6171, 6160])).
% 1.23/1.21 tff(6173,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6174,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6175,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 1.23/1.21 tff(6176,plain,
% 1.23/1.21 ((~xuntil28(s12)) | until27(s13)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6175, 1446, 6005])).
% 1.23/1.21 tff(6177,plain,
% 1.23/1.21 (until27(s13)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6176, 6172])).
% 1.23/1.21 tff(6178,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6179,plain,
% 1.23/1.21 ((node26(s13) | (~until27(s13)) | xuntil28(s13)) <=> (xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6180,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6179])).
% 1.23/1.21 tff(6181,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6180, 6178])).
% 1.23/1.21 tff(6182,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6183,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 1.23/1.21 tff(6184,plain,
% 1.23/1.21 (xuntil28(s13)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6183, 5987, 6177, 5882])).
% 1.23/1.21 tff(6185,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6186,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6187,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 1.23/1.21 tff(6188,plain,
% 1.23/1.21 ((~xuntil28(s13)) | until27(s14)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6187, 1513, 6005])).
% 1.23/1.21 tff(6189,plain,
% 1.23/1.21 (until27(s14)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6188, 6184])).
% 1.23/1.21 tff(6190,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6191,plain,
% 1.23/1.21 ((node26(s14) | (~until27(s14)) | xuntil28(s14)) <=> (xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6192,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6191])).
% 1.23/1.21 tff(6193,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6192, 6190])).
% 1.23/1.21 tff(6194,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6195,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 1.23/1.21 tff(6196,plain,
% 1.23/1.21 (xuntil28(s14) | node26(s14)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6195, 5987, 6189])).
% 1.23/1.21 tff(6197,plain,
% 1.23/1.21 (xuntil28(s14)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6196, 5878])).
% 1.23/1.21 tff(6198,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6199,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6200,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 1.23/1.21 tff(6201,plain,
% 1.23/1.21 ((~xuntil28(s14)) | until27(s15)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6200, 1612, 6005])).
% 1.23/1.21 tff(6202,plain,
% 1.23/1.21 (until27(s15)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6201, 6197])).
% 1.23/1.21 tff(6203,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s15) | node26(s15) | (~until27(s15)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6204,plain,
% 1.23/1.21 ((node26(s15) | (~until27(s15)) | xuntil28(s15)) <=> (xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6205,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s15) | node26(s15) | (~until27(s15))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6204])).
% 1.23/1.21 tff(6206,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6205, 6203])).
% 1.23/1.21 tff(6207,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6208,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 1.23/1.21 tff(6209,plain,
% 1.23/1.21 (xuntil28(s15)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6208, 5987, 6202, 5869])).
% 1.23/1.21 tff(6210,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6211,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6212,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 1.23/1.21 tff(6213,plain,
% 1.23/1.21 ((~xuntil28(s15)) | until27(s16)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6212, 1690, 6005])).
% 1.23/1.21 tff(6214,plain,
% 1.23/1.21 (until27(s16)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6213, 6209])).
% 1.23/1.21 tff(6215,plain,
% 1.23/1.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6216,plain,
% 1.23/1.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6217,plain,
% 1.23/1.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6216, 6215])).
% 1.23/1.21 tff(6218,plain,
% 1.23/1.21 (~node26(s16)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6217, 5510, 5860])).
% 1.23/1.21 tff(6219,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6220,plain,
% 1.23/1.21 ((node26(s16) | (~until27(s16)) | xuntil28(s16)) <=> (xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6221,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6220])).
% 1.23/1.21 tff(6222,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6221, 6219])).
% 1.23/1.21 tff(6223,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6224,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 1.23/1.21 tff(6225,plain,
% 1.23/1.21 (xuntil28(s16) | (~until27(s16))),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6224, 5987, 6218])).
% 1.23/1.21 tff(6226,plain,
% 1.23/1.21 (xuntil28(s16)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6225, 6214])).
% 1.23/1.21 tff(6227,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6228,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6229,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6228, 6227])).
% 1.23/1.21 tff(6230,plain,
% 1.23/1.21 ((~xuntil28(s16)) | until27(s17)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6229, 1751, 6005])).
% 1.23/1.21 tff(6231,plain,
% 1.23/1.21 (until27(s17)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6230, 6226])).
% 1.23/1.21 tff(6232,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s17) | node26(s17) | (~until27(s17)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6233,plain,
% 1.23/1.21 ((node26(s17) | (~until27(s17)) | xuntil28(s17)) <=> (xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6234,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s17) | node26(s17) | (~until27(s17))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6233])).
% 1.23/1.21 tff(6235,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6234, 6232])).
% 1.23/1.21 tff(6236,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6237,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 1.23/1.21 tff(6238,plain,
% 1.23/1.21 (xuntil28(s17)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6237, 5987, 6231, 5853])).
% 1.23/1.21 tff(6239,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6240,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6241,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 1.23/1.21 tff(6242,plain,
% 1.23/1.21 ((~xuntil28(s17)) | until27(s18)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6241, 1846, 6005])).
% 1.23/1.21 tff(6243,plain,
% 1.23/1.21 (until27(s18)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6242, 6238])).
% 1.23/1.21 tff(6244,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6245,plain,
% 1.23/1.21 ((node26(s18) | (~until27(s18)) | xuntil28(s18)) <=> (xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6246,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6245])).
% 1.23/1.21 tff(6247,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6246, 6244])).
% 1.23/1.21 tff(6248,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6249,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 1.23/1.21 tff(6250,plain,
% 1.23/1.21 (xuntil28(s18) | node26(s18)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6249, 5987, 6243])).
% 1.23/1.21 tff(6251,plain,
% 1.23/1.21 (xuntil28(s18)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6250, 5849])).
% 1.23/1.21 tff(6252,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6253,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6254,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 1.23/1.21 tff(6255,plain,
% 1.23/1.21 ((~xuntil28(s18)) | until27(s19)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6254, 1910, 6005])).
% 1.23/1.21 tff(6256,plain,
% 1.23/1.21 (until27(s19)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6255, 6251])).
% 1.23/1.21 tff(6257,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6258,plain,
% 1.23/1.21 ((node26(s19) | (~until27(s19)) | xuntil28(s19)) <=> (xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6259,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6258])).
% 1.23/1.21 tff(6260,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6259, 6257])).
% 1.23/1.21 tff(6261,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6262,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 1.23/1.21 tff(6263,plain,
% 1.23/1.21 (xuntil28(s19)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6262, 5987, 6256, 5840])).
% 1.23/1.21 tff(6264,plain,
% 1.23/1.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6265,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6266,plain,
% 1.23/1.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20)),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6265, 6264])).
% 1.23/1.21 tff(6267,plain,
% 1.23/1.21 ((~xuntil28(s19)) | until27(s20)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6266, 1985, 6005])).
% 1.23/1.21 tff(6268,plain,
% 1.23/1.21 (until27(s20)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6267, 6263])).
% 1.23/1.21 tff(6269,plain,
% 1.23/1.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6270,plain,
% 1.23/1.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6271,plain,
% 1.23/1.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 1.23/1.21 tff(6272,plain,
% 1.23/1.21 (~node26(s20)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6271, 5510, 5831])).
% 1.23/1.21 tff(6273,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s20) | node26(s20) | (~until27(s20)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6274,plain,
% 1.23/1.21 ((node26(s20) | (~until27(s20)) | xuntil28(s20)) <=> (xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 1.23/1.21 inference(rewrite,[status(thm)],[])).
% 1.23/1.21 tff(6275,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s20) | node26(s20) | (~until27(s20))))),
% 1.23/1.21 inference(monotonicity,[status(thm)],[6274])).
% 1.23/1.21 tff(6276,plain,
% 1.23/1.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 1.23/1.21 inference(transitivity,[status(thm)],[6275, 6273])).
% 1.23/1.21 tff(6277,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))),
% 1.23/1.21 inference(quant_inst,[status(thm)],[])).
% 1.23/1.21 tff(6278,plain,
% 1.23/1.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20))),
% 1.23/1.21 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 1.23/1.21 tff(6279,plain,
% 1.23/1.21 (xuntil28(s20) | (~until27(s20))),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6278, 5987, 6272])).
% 1.23/1.21 tff(6280,plain,
% 1.23/1.21 (xuntil28(s20)),
% 1.23/1.21 inference(unit_resolution,[status(thm)],[6279, 6268])).
% 1.23/1.22 tff(6281,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6282,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6283,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 1.23/1.22 tff(6284,plain,
% 1.23/1.22 ((~xuntil28(s20)) | until27(s21)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6283, 2074, 6005])).
% 1.23/1.22 tff(6285,plain,
% 1.23/1.22 (until27(s21)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6284, 6280])).
% 1.23/1.22 tff(6286,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s21) | node26(s21) | (~until27(s21)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6287,plain,
% 1.23/1.22 ((node26(s21) | (~until27(s21)) | xuntil28(s21)) <=> (xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6288,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s21) | node26(s21) | (~until27(s21))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6287])).
% 1.23/1.22 tff(6289,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6288, 6286])).
% 1.23/1.22 tff(6290,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6291,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6290, 6289])).
% 1.23/1.22 tff(6292,plain,
% 1.23/1.22 (xuntil28(s21)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6291, 5987, 6285, 5824])).
% 1.23/1.22 tff(6293,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6294,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6295,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 1.23/1.22 tff(6296,plain,
% 1.23/1.22 ((~xuntil28(s21)) | until27(s22)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6295, 2141, 6005])).
% 1.23/1.22 tff(6297,plain,
% 1.23/1.22 (until27(s22)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6296, 6292])).
% 1.23/1.22 tff(6298,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s22) | node26(s22) | (~until27(s22)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6299,plain,
% 1.23/1.22 ((node26(s22) | (~until27(s22)) | xuntil28(s22)) <=> (xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6300,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s22) | node26(s22) | (~until27(s22))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6299])).
% 1.23/1.22 tff(6301,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6300, 6298])).
% 1.23/1.22 tff(6302,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6303,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6302, 6301])).
% 1.23/1.22 tff(6304,plain,
% 1.23/1.22 (xuntil28(s22) | node26(s22)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6303, 5987, 6297])).
% 1.23/1.22 tff(6305,plain,
% 1.23/1.22 (xuntil28(s22)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6304, 5820])).
% 1.23/1.22 tff(6306,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6307,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6308,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6307, 6306])).
% 1.23/1.22 tff(6309,plain,
% 1.23/1.22 ((~xuntil28(s22)) | until27(s23)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6308, 2240, 6005])).
% 1.23/1.22 tff(6310,plain,
% 1.23/1.22 (until27(s23)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6309, 6305])).
% 1.23/1.22 tff(6311,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s23) | node26(s23) | (~until27(s23)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6312,plain,
% 1.23/1.22 ((node26(s23) | (~until27(s23)) | xuntil28(s23)) <=> (xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6313,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s23) | node26(s23) | (~until27(s23))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6312])).
% 1.23/1.22 tff(6314,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6313, 6311])).
% 1.23/1.22 tff(6315,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6316,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6315, 6314])).
% 1.23/1.22 tff(6317,plain,
% 1.23/1.22 (xuntil28(s23)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6316, 5987, 6310, 5811])).
% 1.23/1.22 tff(6318,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6319,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6320,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 1.23/1.22 tff(6321,plain,
% 1.23/1.22 ((~xuntil28(s23)) | until27(s24)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6320, 2318, 6005])).
% 1.23/1.22 tff(6322,plain,
% 1.23/1.22 (until27(s24)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6321, 6317])).
% 1.23/1.22 tff(6323,plain,
% 1.23/1.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6324,plain,
% 1.23/1.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6325,plain,
% 1.23/1.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 1.23/1.22 tff(6326,plain,
% 1.23/1.22 (~node26(s24)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6325, 5510, 5802])).
% 1.23/1.22 tff(6327,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s24) | node26(s24) | (~until27(s24)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6328,plain,
% 1.23/1.22 ((node26(s24) | (~until27(s24)) | xuntil28(s24)) <=> (xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6329,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s24) | node26(s24) | (~until27(s24))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6328])).
% 1.23/1.22 tff(6330,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6329, 6327])).
% 1.23/1.22 tff(6331,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6332,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 1.23/1.22 tff(6333,plain,
% 1.23/1.22 (xuntil28(s24) | (~until27(s24))),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6332, 5987, 6326])).
% 1.23/1.22 tff(6334,plain,
% 1.23/1.22 (xuntil28(s24)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6333, 6322])).
% 1.23/1.22 tff(6335,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6336,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6337,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6336, 6335])).
% 1.23/1.22 tff(6338,plain,
% 1.23/1.22 ((~xuntil28(s24)) | until27(s25)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6337, 2379, 6005])).
% 1.23/1.22 tff(6339,plain,
% 1.23/1.22 (until27(s25)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6338, 6334])).
% 1.23/1.22 tff(6340,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s25) | node26(s25) | (~until27(s25)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6341,plain,
% 1.23/1.22 ((node26(s25) | (~until27(s25)) | xuntil28(s25)) <=> (xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6342,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s25) | node26(s25) | (~until27(s25))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6341])).
% 1.23/1.22 tff(6343,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6342, 6340])).
% 1.23/1.22 tff(6344,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6345,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 1.23/1.22 tff(6346,plain,
% 1.23/1.22 (xuntil28(s25)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6345, 5987, 6339, 5795])).
% 1.23/1.22 tff(6347,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6348,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6349,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 1.23/1.22 tff(6350,plain,
% 1.23/1.22 ((~xuntil28(s25)) | until27(s26)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6349, 2474, 6005])).
% 1.23/1.22 tff(6351,plain,
% 1.23/1.22 (until27(s26)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6350, 6346])).
% 1.23/1.22 tff(6352,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s26) | node26(s26) | (~until27(s26)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6353,plain,
% 1.23/1.22 ((node26(s26) | (~until27(s26)) | xuntil28(s26)) <=> (xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6354,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s26) | node26(s26) | (~until27(s26))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6353])).
% 1.23/1.22 tff(6355,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6354, 6352])).
% 1.23/1.22 tff(6356,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6357,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 1.23/1.22 tff(6358,plain,
% 1.23/1.22 (xuntil28(s26) | node26(s26)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6357, 5987, 6351])).
% 1.23/1.22 tff(6359,plain,
% 1.23/1.22 (xuntil28(s26)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6358, 5791])).
% 1.23/1.22 tff(6360,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6361,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6362,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6361, 6360])).
% 1.23/1.22 tff(6363,plain,
% 1.23/1.22 ((~xuntil28(s26)) | until27(s27)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6362, 2538, 6005])).
% 1.23/1.22 tff(6364,plain,
% 1.23/1.22 (until27(s27)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6363, 6359])).
% 1.23/1.22 tff(6365,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s27) | node26(s27) | (~until27(s27)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6366,plain,
% 1.23/1.22 ((node26(s27) | (~until27(s27)) | xuntil28(s27)) <=> (xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6367,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s27) | node26(s27) | (~until27(s27))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6366])).
% 1.23/1.22 tff(6368,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6367, 6365])).
% 1.23/1.22 tff(6369,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6370,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6369, 6368])).
% 1.23/1.22 tff(6371,plain,
% 1.23/1.22 (xuntil28(s27)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6370, 5987, 6364, 5782])).
% 1.23/1.22 tff(6372,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6373,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6374,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6373, 6372])).
% 1.23/1.22 tff(6375,plain,
% 1.23/1.22 ((~xuntil28(s27)) | until27(s28)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6374, 2613, 6005])).
% 1.23/1.22 tff(6376,plain,
% 1.23/1.22 (until27(s28)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6375, 6371])).
% 1.23/1.22 tff(6377,plain,
% 1.23/1.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6378,plain,
% 1.23/1.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6379,plain,
% 1.23/1.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6378, 6377])).
% 1.23/1.22 tff(6380,plain,
% 1.23/1.22 (~node26(s28)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6379, 5510, 5773])).
% 1.23/1.22 tff(6381,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s28) | node26(s28) | (~until27(s28)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6382,plain,
% 1.23/1.22 ((node26(s28) | (~until27(s28)) | xuntil28(s28)) <=> (xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6383,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s28) | node26(s28) | (~until27(s28))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6382])).
% 1.23/1.22 tff(6384,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6383, 6381])).
% 1.23/1.22 tff(6385,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6386,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6385, 6384])).
% 1.23/1.22 tff(6387,plain,
% 1.23/1.22 (xuntil28(s28) | (~until27(s28))),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6386, 5987, 6380])).
% 1.23/1.22 tff(6388,plain,
% 1.23/1.22 (xuntil28(s28)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6387, 6376])).
% 1.23/1.22 tff(6389,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6390,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6391,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 1.23/1.22 tff(6392,plain,
% 1.23/1.22 ((~xuntil28(s28)) | until27(s29)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6391, 2702, 6005])).
% 1.23/1.22 tff(6393,plain,
% 1.23/1.22 (until27(s29)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6392, 6388])).
% 1.23/1.22 tff(6394,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s29) | node26(s29) | (~until27(s29)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6395,plain,
% 1.23/1.22 ((node26(s29) | (~until27(s29)) | xuntil28(s29)) <=> (xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6396,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s29) | node26(s29) | (~until27(s29))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6395])).
% 1.23/1.22 tff(6397,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6396, 6394])).
% 1.23/1.22 tff(6398,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6399,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 1.23/1.22 tff(6400,plain,
% 1.23/1.22 (xuntil28(s29)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6399, 5987, 6393, 5766])).
% 1.23/1.22 tff(6401,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6402,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6403,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 1.23/1.22 tff(6404,plain,
% 1.23/1.22 ((~xuntil28(s29)) | until27(s30)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6403, 2769, 6005])).
% 1.23/1.22 tff(6405,plain,
% 1.23/1.22 (until27(s30)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6404, 6400])).
% 1.23/1.22 tff(6406,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s30) | node26(s30) | (~until27(s30)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6407,plain,
% 1.23/1.22 ((node26(s30) | (~until27(s30)) | xuntil28(s30)) <=> (xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6408,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s30) | node26(s30) | (~until27(s30))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6407])).
% 1.23/1.22 tff(6409,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6408, 6406])).
% 1.23/1.22 tff(6410,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6411,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 1.23/1.22 tff(6412,plain,
% 1.23/1.22 (xuntil28(s30) | node26(s30)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6411, 5987, 6405])).
% 1.23/1.22 tff(6413,plain,
% 1.23/1.22 (xuntil28(s30)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6412, 5762])).
% 1.23/1.22 tff(6414,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6415,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6416,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 1.23/1.22 tff(6417,plain,
% 1.23/1.22 ((~xuntil28(s30)) | until27(s31)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6416, 2868, 6005])).
% 1.23/1.22 tff(6418,plain,
% 1.23/1.22 (until27(s31)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6417, 6413])).
% 1.23/1.22 tff(6419,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s31) | node26(s31) | (~until27(s31)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6420,plain,
% 1.23/1.22 ((node26(s31) | (~until27(s31)) | xuntil28(s31)) <=> (xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6421,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s31) | node26(s31) | (~until27(s31))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6420])).
% 1.23/1.22 tff(6422,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6421, 6419])).
% 1.23/1.22 tff(6423,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6424,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 1.23/1.22 tff(6425,plain,
% 1.23/1.22 (xuntil28(s31)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6424, 5987, 6418, 5753])).
% 1.23/1.22 tff(6426,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6427,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6428,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 1.23/1.22 tff(6429,plain,
% 1.23/1.22 ((~xuntil28(s31)) | until27(s32)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6428, 2946, 6005])).
% 1.23/1.22 tff(6430,plain,
% 1.23/1.22 (until27(s32)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6429, 6425])).
% 1.23/1.22 tff(6431,plain,
% 1.23/1.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6432,plain,
% 1.23/1.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6433,plain,
% 1.23/1.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 1.23/1.22 tff(6434,plain,
% 1.23/1.22 (~node26(s32)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6433, 5510, 5744])).
% 1.23/1.22 tff(6435,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s32) | node26(s32) | (~until27(s32)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6436,plain,
% 1.23/1.22 ((node26(s32) | (~until27(s32)) | xuntil28(s32)) <=> (xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6437,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s32) | node26(s32) | (~until27(s32))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6436])).
% 1.23/1.22 tff(6438,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6437, 6435])).
% 1.23/1.22 tff(6439,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6440,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32))),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 1.23/1.22 tff(6441,plain,
% 1.23/1.22 (xuntil28(s32) | (~until27(s32))),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6440, 5987, 6434])).
% 1.23/1.22 tff(6442,plain,
% 1.23/1.22 (xuntil28(s32)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6441, 6430])).
% 1.23/1.22 tff(6443,plain,
% 1.23/1.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6444,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 1.23/1.22 inference(quant_inst,[status(thm)],[])).
% 1.23/1.22 tff(6445,plain,
% 1.23/1.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33)),
% 1.23/1.22 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 1.23/1.22 tff(6446,plain,
% 1.23/1.22 ((~xuntil28(s32)) | until27(s33)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6445, 3007, 6005])).
% 1.23/1.22 tff(6447,plain,
% 1.23/1.22 (until27(s33)),
% 1.23/1.22 inference(unit_resolution,[status(thm)],[6446, 6442])).
% 1.23/1.22 tff(6448,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s33) | node26(s33) | (~until27(s33)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6449,plain,
% 1.23/1.22 ((node26(s33) | (~until27(s33)) | xuntil28(s33)) <=> (xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 1.23/1.22 inference(rewrite,[status(thm)],[])).
% 1.23/1.22 tff(6450,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s33) | node26(s33) | (~until27(s33))))),
% 1.23/1.22 inference(monotonicity,[status(thm)],[6449])).
% 1.23/1.22 tff(6451,plain,
% 1.23/1.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 1.23/1.22 inference(transitivity,[status(thm)],[6450, 6448])).
% 1.23/1.22 tff(6452,plain,
% 1.23/1.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6453,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 1.23/1.23 tff(6454,plain,
% 1.23/1.23 (xuntil28(s33)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6453, 5987, 6447, 5737])).
% 1.23/1.23 tff(6455,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6456,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6457,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 1.23/1.23 tff(6458,plain,
% 1.23/1.23 ((~xuntil28(s33)) | until27(s34)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6457, 3102, 6005])).
% 1.23/1.23 tff(6459,plain,
% 1.23/1.23 (until27(s34)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6458, 6454])).
% 1.23/1.23 tff(6460,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s34) | node26(s34) | (~until27(s34)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6461,plain,
% 1.23/1.23 ((node26(s34) | (~until27(s34)) | xuntil28(s34)) <=> (xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6462,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s34) | node26(s34) | (~until27(s34))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6461])).
% 1.23/1.23 tff(6463,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6462, 6460])).
% 1.23/1.23 tff(6464,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6465,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6464, 6463])).
% 1.23/1.23 tff(6466,plain,
% 1.23/1.23 (xuntil28(s34) | node26(s34)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6465, 5987, 6459])).
% 1.23/1.23 tff(6467,plain,
% 1.23/1.23 (xuntil28(s34)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6466, 5733])).
% 1.23/1.23 tff(6468,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6469,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6470,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 1.23/1.23 tff(6471,plain,
% 1.23/1.23 ((~xuntil28(s34)) | until27(s35)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6470, 3166, 6005])).
% 1.23/1.23 tff(6472,plain,
% 1.23/1.23 (until27(s35)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6471, 6467])).
% 1.23/1.23 tff(6473,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s35) | node26(s35) | (~until27(s35)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6474,plain,
% 1.23/1.23 ((node26(s35) | (~until27(s35)) | xuntil28(s35)) <=> (xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6475,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s35) | node26(s35) | (~until27(s35))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6474])).
% 1.23/1.23 tff(6476,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6475, 6473])).
% 1.23/1.23 tff(6477,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6478,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 1.23/1.23 tff(6479,plain,
% 1.23/1.23 (xuntil28(s35)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6478, 5987, 6472, 5724])).
% 1.23/1.23 tff(6480,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6481,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6482,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6481, 6480])).
% 1.23/1.23 tff(6483,plain,
% 1.23/1.23 ((~xuntil28(s35)) | until27(s36)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6482, 3241, 6005])).
% 1.23/1.23 tff(6484,plain,
% 1.23/1.23 (until27(s36)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6483, 6479])).
% 1.23/1.23 tff(6485,plain,
% 1.23/1.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6486,plain,
% 1.23/1.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6487,plain,
% 1.23/1.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 1.23/1.23 tff(6488,plain,
% 1.23/1.23 (~node26(s36)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6487, 5510, 5715])).
% 1.23/1.23 tff(6489,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s36) | node26(s36) | (~until27(s36)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6490,plain,
% 1.23/1.23 ((node26(s36) | (~until27(s36)) | xuntil28(s36)) <=> (xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6491,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s36) | node26(s36) | (~until27(s36))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6490])).
% 1.23/1.23 tff(6492,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6491, 6489])).
% 1.23/1.23 tff(6493,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6494,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 1.23/1.23 tff(6495,plain,
% 1.23/1.23 (xuntil28(s36) | (~until27(s36))),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6494, 5987, 6488])).
% 1.23/1.23 tff(6496,plain,
% 1.23/1.23 (xuntil28(s36)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6495, 6484])).
% 1.23/1.23 tff(6497,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6498,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6499,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6498, 6497])).
% 1.23/1.23 tff(6500,plain,
% 1.23/1.23 ((~xuntil28(s36)) | until27(s37)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6499, 3330, 6005])).
% 1.23/1.23 tff(6501,plain,
% 1.23/1.23 (until27(s37)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6500, 6496])).
% 1.23/1.23 tff(6502,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s37) | node26(s37) | (~until27(s37)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6503,plain,
% 1.23/1.23 ((node26(s37) | (~until27(s37)) | xuntil28(s37)) <=> (xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6504,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s37) | node26(s37) | (~until27(s37))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6503])).
% 1.23/1.23 tff(6505,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6504, 6502])).
% 1.23/1.23 tff(6506,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6507,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6506, 6505])).
% 1.23/1.23 tff(6508,plain,
% 1.23/1.23 (xuntil28(s37)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6507, 5987, 6501, 5708])).
% 1.23/1.23 tff(6509,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6510,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6511,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6510, 6509])).
% 1.23/1.23 tff(6512,plain,
% 1.23/1.23 ((~xuntil28(s37)) | until27(s38)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6511, 3397, 6005])).
% 1.23/1.23 tff(6513,plain,
% 1.23/1.23 (until27(s38)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6512, 6508])).
% 1.23/1.23 tff(6514,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s38) | node26(s38) | (~until27(s38)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6515,plain,
% 1.23/1.23 ((node26(s38) | (~until27(s38)) | xuntil28(s38)) <=> (xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6516,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s38) | node26(s38) | (~until27(s38))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6515])).
% 1.23/1.23 tff(6517,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6516, 6514])).
% 1.23/1.23 tff(6518,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6519,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6518, 6517])).
% 1.23/1.23 tff(6520,plain,
% 1.23/1.23 (xuntil28(s38) | node26(s38)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6519, 5987, 6513])).
% 1.23/1.23 tff(6521,plain,
% 1.23/1.23 (xuntil28(s38)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6520, 5704])).
% 1.23/1.23 tff(6522,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6523,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6524,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 1.23/1.23 tff(6525,plain,
% 1.23/1.23 ((~xuntil28(s38)) | until27(s39)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6524, 3496, 6005])).
% 1.23/1.23 tff(6526,plain,
% 1.23/1.23 (until27(s39)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6525, 6521])).
% 1.23/1.23 tff(6527,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s39) | node26(s39) | (~until27(s39)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6528,plain,
% 1.23/1.23 ((node26(s39) | (~until27(s39)) | xuntil28(s39)) <=> (xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6529,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s39) | node26(s39) | (~until27(s39))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6528])).
% 1.23/1.23 tff(6530,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6529, 6527])).
% 1.23/1.23 tff(6531,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6532,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6531, 6530])).
% 1.23/1.23 tff(6533,plain,
% 1.23/1.23 (xuntil28(s39)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6532, 5987, 6526, 5695])).
% 1.23/1.23 tff(6534,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6535,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6536,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 1.23/1.23 tff(6537,plain,
% 1.23/1.23 ((~xuntil28(s39)) | until27(s40)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6536, 3574, 6005])).
% 1.23/1.23 tff(6538,plain,
% 1.23/1.23 (until27(s40)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6537, 6533])).
% 1.23/1.23 tff(6539,plain,
% 1.23/1.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6540,plain,
% 1.23/1.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6541,plain,
% 1.23/1.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6540, 6539])).
% 1.23/1.23 tff(6542,plain,
% 1.23/1.23 (~node26(s40)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6541, 5510, 5686])).
% 1.23/1.23 tff(6543,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s40) | node26(s40) | (~until27(s40)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6544,plain,
% 1.23/1.23 ((node26(s40) | (~until27(s40)) | xuntil28(s40)) <=> (xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6545,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s40) | node26(s40) | (~until27(s40))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6544])).
% 1.23/1.23 tff(6546,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6545, 6543])).
% 1.23/1.23 tff(6547,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6548,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 1.23/1.23 tff(6549,plain,
% 1.23/1.23 (xuntil28(s40) | (~until27(s40))),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6548, 5987, 6542])).
% 1.23/1.23 tff(6550,plain,
% 1.23/1.23 (xuntil28(s40)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6549, 6538])).
% 1.23/1.23 tff(6551,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6552,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6553,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 1.23/1.23 tff(6554,plain,
% 1.23/1.23 ((~xuntil28(s40)) | until27(s41)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6553, 3635, 6005])).
% 1.23/1.23 tff(6555,plain,
% 1.23/1.23 (until27(s41)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6554, 6550])).
% 1.23/1.23 tff(6556,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s41) | node26(s41) | (~until27(s41)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6557,plain,
% 1.23/1.23 ((node26(s41) | (~until27(s41)) | xuntil28(s41)) <=> (xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6558,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s41) | node26(s41) | (~until27(s41))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6557])).
% 1.23/1.23 tff(6559,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6558, 6556])).
% 1.23/1.23 tff(6560,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6561,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41))),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 1.23/1.23 tff(6562,plain,
% 1.23/1.23 (xuntil28(s41)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6561, 5987, 6555, 5679])).
% 1.23/1.23 tff(6563,plain,
% 1.23/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6564,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 1.23/1.23 inference(quant_inst,[status(thm)],[])).
% 1.23/1.23 tff(6565,plain,
% 1.23/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42)),
% 1.23/1.23 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 1.23/1.23 tff(6566,plain,
% 1.23/1.23 ((~xuntil28(s41)) | until27(s42)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6565, 3730, 6005])).
% 1.23/1.23 tff(6567,plain,
% 1.23/1.23 (until27(s42)),
% 1.23/1.23 inference(unit_resolution,[status(thm)],[6566, 6562])).
% 1.23/1.23 tff(6568,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s42) | node26(s42) | (~until27(s42)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6569,plain,
% 1.23/1.23 ((node26(s42) | (~until27(s42)) | xuntil28(s42)) <=> (xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 1.23/1.23 inference(rewrite,[status(thm)],[])).
% 1.23/1.23 tff(6570,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s42) | node26(s42) | (~until27(s42))))),
% 1.23/1.23 inference(monotonicity,[status(thm)],[6569])).
% 1.23/1.23 tff(6571,plain,
% 1.23/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 1.23/1.23 inference(transitivity,[status(thm)],[6570, 6568])).
% 1.23/1.23 tff(6572,plain,
% 1.23/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6573,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42))),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6572, 6571])).
% 1.25/1.23 tff(6574,plain,
% 1.25/1.23 (xuntil28(s42) | node26(s42)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6573, 5987, 6567])).
% 1.25/1.23 tff(6575,plain,
% 1.25/1.23 (xuntil28(s42)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6574, 5675])).
% 1.25/1.23 tff(6576,plain,
% 1.25/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6577,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6578,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43)),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6577, 6576])).
% 1.25/1.23 tff(6579,plain,
% 1.25/1.23 ((~xuntil28(s42)) | until27(s43)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6578, 3794, 6005])).
% 1.25/1.23 tff(6580,plain,
% 1.25/1.23 (until27(s43)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6579, 6575])).
% 1.25/1.23 tff(6581,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s43) | node26(s43) | (~until27(s43)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6582,plain,
% 1.25/1.23 ((node26(s43) | (~until27(s43)) | xuntil28(s43)) <=> (xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6583,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s43) | node26(s43) | (~until27(s43))))),
% 1.25/1.23 inference(monotonicity,[status(thm)],[6582])).
% 1.25/1.23 tff(6584,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 1.25/1.23 inference(transitivity,[status(thm)],[6583, 6581])).
% 1.25/1.23 tff(6585,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6586,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43))),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6585, 6584])).
% 1.25/1.23 tff(6587,plain,
% 1.25/1.23 (xuntil28(s43)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6586, 5987, 6580, 5666])).
% 1.25/1.23 tff(6588,plain,
% 1.25/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6589,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6590,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44)),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6589, 6588])).
% 1.25/1.23 tff(6591,plain,
% 1.25/1.23 ((~xuntil28(s43)) | until27(s44)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6590, 3869, 6005])).
% 1.25/1.23 tff(6592,plain,
% 1.25/1.23 (until27(s44)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6591, 6587])).
% 1.25/1.23 tff(6593,plain,
% 1.25/1.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6594,plain,
% 1.25/1.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6595,plain,
% 1.25/1.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44))),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 1.25/1.23 tff(6596,plain,
% 1.25/1.23 (~node26(s44)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6595, 5510, 5657])).
% 1.25/1.23 tff(6597,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s44) | node26(s44) | (~until27(s44)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6598,plain,
% 1.25/1.23 ((node26(s44) | (~until27(s44)) | xuntil28(s44)) <=> (xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6599,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s44) | node26(s44) | (~until27(s44))))),
% 1.25/1.23 inference(monotonicity,[status(thm)],[6598])).
% 1.25/1.23 tff(6600,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 1.25/1.23 inference(transitivity,[status(thm)],[6599, 6597])).
% 1.25/1.23 tff(6601,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6602,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44))),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6601, 6600])).
% 1.25/1.23 tff(6603,plain,
% 1.25/1.23 (xuntil28(s44) | (~until27(s44))),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6602, 5987, 6596])).
% 1.25/1.23 tff(6604,plain,
% 1.25/1.23 (xuntil28(s44)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6603, 6592])).
% 1.25/1.23 tff(6605,plain,
% 1.25/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6606,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6607,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45)),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6606, 6605])).
% 1.25/1.23 tff(6608,plain,
% 1.25/1.23 ((~xuntil28(s44)) | until27(s45)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6607, 3958, 6005])).
% 1.25/1.23 tff(6609,plain,
% 1.25/1.23 (until27(s45)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6608, 6604])).
% 1.25/1.23 tff(6610,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s45) | node26(s45) | (~until27(s45)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6611,plain,
% 1.25/1.23 ((node26(s45) | (~until27(s45)) | xuntil28(s45)) <=> (xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6612,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s45) | node26(s45) | (~until27(s45))))),
% 1.25/1.23 inference(monotonicity,[status(thm)],[6611])).
% 1.25/1.23 tff(6613,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 1.25/1.23 inference(transitivity,[status(thm)],[6612, 6610])).
% 1.25/1.23 tff(6614,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6615,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45))),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6614, 6613])).
% 1.25/1.23 tff(6616,plain,
% 1.25/1.23 (xuntil28(s45)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6615, 5987, 6609, 5650])).
% 1.25/1.23 tff(6617,plain,
% 1.25/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6618,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6619,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46)),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 1.25/1.23 tff(6620,plain,
% 1.25/1.23 ((~xuntil28(s45)) | until27(s46)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6619, 4025, 6005])).
% 1.25/1.23 tff(6621,plain,
% 1.25/1.23 (until27(s46)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6620, 6616])).
% 1.25/1.23 tff(6622,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s46) | node26(s46) | (~until27(s46)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6623,plain,
% 1.25/1.23 ((node26(s46) | (~until27(s46)) | xuntil28(s46)) <=> (xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6624,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s46) | node26(s46) | (~until27(s46))))),
% 1.25/1.23 inference(monotonicity,[status(thm)],[6623])).
% 1.25/1.23 tff(6625,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 1.25/1.23 inference(transitivity,[status(thm)],[6624, 6622])).
% 1.25/1.23 tff(6626,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6627,plain,
% 1.25/1.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46))),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 1.25/1.23 tff(6628,plain,
% 1.25/1.23 (xuntil28(s46) | node26(s46)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6627, 5987, 6621])).
% 1.25/1.23 tff(6629,plain,
% 1.25/1.23 (xuntil28(s46)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6628, 5646])).
% 1.25/1.23 tff(6630,plain,
% 1.25/1.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 1.25/1.23 inference(rewrite,[status(thm)],[])).
% 1.25/1.23 tff(6631,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 1.25/1.23 inference(quant_inst,[status(thm)],[])).
% 1.25/1.23 tff(6632,plain,
% 1.25/1.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47)),
% 1.25/1.23 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 1.25/1.23 tff(6633,plain,
% 1.25/1.23 ((~xuntil28(s46)) | until27(s47)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6632, 4124, 6005])).
% 1.25/1.23 tff(6634,plain,
% 1.25/1.23 (until27(s47)),
% 1.25/1.23 inference(unit_resolution,[status(thm)],[6633, 6629])).
% 1.25/1.23 tff(6635,plain,
% 1.25/1.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s47) | node26(s47) | (~until27(s47)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6636,plain,
% 1.25/1.24 ((node26(s47) | (~until27(s47)) | xuntil28(s47)) <=> (xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6637,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s47) | node26(s47) | (~until27(s47))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6636])).
% 1.25/1.24 tff(6638,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6637, 6635])).
% 1.25/1.24 tff(6639,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6640,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6639, 6638])).
% 1.25/1.24 tff(6641,plain,
% 1.25/1.24 (xuntil28(s47)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6640, 5987, 6634, 5637])).
% 1.25/1.24 tff(6642,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6643,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6644,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 1.25/1.24 tff(6645,plain,
% 1.25/1.24 ((~xuntil28(s47)) | until27(s48)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6644, 4202, 6005])).
% 1.25/1.24 tff(6646,plain,
% 1.25/1.24 (until27(s48)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6645, 6641])).
% 1.25/1.24 tff(6647,plain,
% 1.25/1.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6648,plain,
% 1.25/1.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6649,plain,
% 1.25/1.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 1.25/1.24 tff(6650,plain,
% 1.25/1.24 (~node26(s48)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6649, 5510, 5628])).
% 1.25/1.24 tff(6651,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s48) | node26(s48) | (~until27(s48)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6652,plain,
% 1.25/1.24 ((node26(s48) | (~until27(s48)) | xuntil28(s48)) <=> (xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6653,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s48) | node26(s48) | (~until27(s48))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6652])).
% 1.25/1.24 tff(6654,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6653, 6651])).
% 1.25/1.24 tff(6655,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6656,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6655, 6654])).
% 1.25/1.24 tff(6657,plain,
% 1.25/1.24 (xuntil28(s48) | (~until27(s48))),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6656, 5987, 6650])).
% 1.25/1.24 tff(6658,plain,
% 1.25/1.24 (xuntil28(s48)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6657, 6646])).
% 1.25/1.24 tff(6659,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6660,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6661,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 1.25/1.24 tff(6662,plain,
% 1.25/1.24 ((~xuntil28(s48)) | until27(s49)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6661, 4263, 6005])).
% 1.25/1.24 tff(6663,plain,
% 1.25/1.24 (until27(s49)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6662, 6658])).
% 1.25/1.24 tff(6664,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s49) | node26(s49) | (~until27(s49)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6665,plain,
% 1.25/1.24 ((node26(s49) | (~until27(s49)) | xuntil28(s49)) <=> (xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6666,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s49) | node26(s49) | (~until27(s49))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6665])).
% 1.25/1.24 tff(6667,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6666, 6664])).
% 1.25/1.24 tff(6668,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6669,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6668, 6667])).
% 1.25/1.24 tff(6670,plain,
% 1.25/1.24 (xuntil28(s49)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6669, 5987, 6663, 5621])).
% 1.25/1.24 tff(6671,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6672,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6673,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 1.25/1.24 tff(6674,plain,
% 1.25/1.24 ((~xuntil28(s49)) | until27(s50)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6673, 4358, 6005])).
% 1.25/1.24 tff(6675,plain,
% 1.25/1.24 (until27(s50)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6674, 6670])).
% 1.25/1.24 tff(6676,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s50) | node26(s50) | (~until27(s50)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6677,plain,
% 1.25/1.24 ((node26(s50) | (~until27(s50)) | xuntil28(s50)) <=> (xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6678,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s50) | node26(s50) | (~until27(s50))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6677])).
% 1.25/1.24 tff(6679,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6678, 6676])).
% 1.25/1.24 tff(6680,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6681,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6680, 6679])).
% 1.25/1.24 tff(6682,plain,
% 1.25/1.24 (xuntil28(s50) | node26(s50)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6681, 5987, 6675])).
% 1.25/1.24 tff(6683,plain,
% 1.25/1.24 (xuntil28(s50)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6682, 5617])).
% 1.25/1.24 tff(6684,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6685,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6686,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 1.25/1.24 tff(6687,plain,
% 1.25/1.24 ((~xuntil28(s50)) | until27(s51)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6686, 4422, 6005])).
% 1.25/1.24 tff(6688,plain,
% 1.25/1.24 (until27(s51)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6687, 6683])).
% 1.25/1.24 tff(6689,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s51) | node26(s51) | (~until27(s51)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6690,plain,
% 1.25/1.24 ((node26(s51) | (~until27(s51)) | xuntil28(s51)) <=> (xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6691,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s51) | node26(s51) | (~until27(s51))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6690])).
% 1.25/1.24 tff(6692,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6691, 6689])).
% 1.25/1.24 tff(6693,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6694,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 1.25/1.24 tff(6695,plain,
% 1.25/1.24 (xuntil28(s51)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6694, 5987, 6688, 5608])).
% 1.25/1.24 tff(6696,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6697,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6698,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 1.25/1.24 tff(6699,plain,
% 1.25/1.24 ((~xuntil28(s51)) | until27(s52)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6698, 4497, 6005])).
% 1.25/1.24 tff(6700,plain,
% 1.25/1.24 (until27(s52)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6699, 6695])).
% 1.25/1.24 tff(6701,plain,
% 1.25/1.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6702,plain,
% 1.25/1.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6703,plain,
% 1.25/1.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6702, 6701])).
% 1.25/1.24 tff(6704,plain,
% 1.25/1.24 (~node26(s52)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6703, 5510, 5599])).
% 1.25/1.24 tff(6705,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s52) | node26(s52) | (~until27(s52)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6706,plain,
% 1.25/1.24 ((node26(s52) | (~until27(s52)) | xuntil28(s52)) <=> (xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6707,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s52) | node26(s52) | (~until27(s52))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6706])).
% 1.25/1.24 tff(6708,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6707, 6705])).
% 1.25/1.24 tff(6709,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6710,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 1.25/1.24 tff(6711,plain,
% 1.25/1.24 (xuntil28(s52) | (~until27(s52))),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6710, 5987, 6704])).
% 1.25/1.24 tff(6712,plain,
% 1.25/1.24 (xuntil28(s52)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6711, 6700])).
% 1.25/1.24 tff(6713,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6714,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6715,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 1.25/1.24 tff(6716,plain,
% 1.25/1.24 ((~xuntil28(s52)) | until27(s53)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6715, 4586, 6005])).
% 1.25/1.24 tff(6717,plain,
% 1.25/1.24 (until27(s53)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6716, 6712])).
% 1.25/1.24 tff(6718,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s53) | node26(s53) | (~until27(s53)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6719,plain,
% 1.25/1.24 ((node26(s53) | (~until27(s53)) | xuntil28(s53)) <=> (xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6720,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s53) | node26(s53) | (~until27(s53))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6719])).
% 1.25/1.24 tff(6721,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6720, 6718])).
% 1.25/1.24 tff(6722,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6723,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 1.25/1.24 tff(6724,plain,
% 1.25/1.24 (xuntil28(s53)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6723, 5987, 6717, 5592])).
% 1.25/1.24 tff(6725,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6726,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6727,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 1.25/1.24 tff(6728,plain,
% 1.25/1.24 ((~xuntil28(s53)) | until27(s54)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6727, 4653, 6005])).
% 1.25/1.24 tff(6729,plain,
% 1.25/1.24 (until27(s54)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6728, 6724])).
% 1.25/1.24 tff(6730,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s54) | node26(s54) | (~until27(s54)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6731,plain,
% 1.25/1.24 ((node26(s54) | (~until27(s54)) | xuntil28(s54)) <=> (xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6732,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s54) | node26(s54) | (~until27(s54))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6731])).
% 1.25/1.24 tff(6733,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6732, 6730])).
% 1.25/1.24 tff(6734,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6735,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 1.25/1.24 tff(6736,plain,
% 1.25/1.24 (xuntil28(s54) | node26(s54)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6735, 5987, 6729])).
% 1.25/1.24 tff(6737,plain,
% 1.25/1.24 (xuntil28(s54)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6736, 5588])).
% 1.25/1.24 tff(6738,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6739,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6740,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 1.25/1.24 tff(6741,plain,
% 1.25/1.24 ((~xuntil28(s54)) | until27(s55)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6740, 4752, 6005])).
% 1.25/1.24 tff(6742,plain,
% 1.25/1.24 (until27(s55)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6741, 6737])).
% 1.25/1.24 tff(6743,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s55) | node26(s55) | (~until27(s55)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6744,plain,
% 1.25/1.24 ((node26(s55) | (~until27(s55)) | xuntil28(s55)) <=> (xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6745,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s55) | node26(s55) | (~until27(s55))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6744])).
% 1.25/1.24 tff(6746,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6745, 6743])).
% 1.25/1.24 tff(6747,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6748,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 1.25/1.24 tff(6749,plain,
% 1.25/1.24 (xuntil28(s55)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6748, 5987, 6742, 5579])).
% 1.25/1.24 tff(6750,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6751,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6752,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 1.25/1.24 tff(6753,plain,
% 1.25/1.24 ((~xuntil28(s55)) | until27(s56)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6752, 4830, 6005])).
% 1.25/1.24 tff(6754,plain,
% 1.25/1.24 (until27(s56)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6753, 6749])).
% 1.25/1.24 tff(6755,plain,
% 1.25/1.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6756,plain,
% 1.25/1.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6757,plain,
% 1.25/1.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 1.25/1.24 tff(6758,plain,
% 1.25/1.24 (~node26(s56)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6757, 5510, 5570])).
% 1.25/1.24 tff(6759,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s56) | node26(s56) | (~until27(s56)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6760,plain,
% 1.25/1.24 ((node26(s56) | (~until27(s56)) | xuntil28(s56)) <=> (xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6761,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s56) | node26(s56) | (~until27(s56))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6760])).
% 1.25/1.24 tff(6762,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6761, 6759])).
% 1.25/1.24 tff(6763,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6764,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6763, 6762])).
% 1.25/1.24 tff(6765,plain,
% 1.25/1.24 (xuntil28(s56) | (~until27(s56))),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6764, 5987, 6758])).
% 1.25/1.24 tff(6766,plain,
% 1.25/1.24 (xuntil28(s56)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6765, 6754])).
% 1.25/1.24 tff(6767,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6768,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6769,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6768, 6767])).
% 1.25/1.24 tff(6770,plain,
% 1.25/1.24 ((~xuntil28(s56)) | until27(s57)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6769, 4891, 6005])).
% 1.25/1.24 tff(6771,plain,
% 1.25/1.24 (until27(s57)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6770, 6766])).
% 1.25/1.24 tff(6772,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s57) | node26(s57) | (~until27(s57)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6773,plain,
% 1.25/1.24 ((node26(s57) | (~until27(s57)) | xuntil28(s57)) <=> (xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6774,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s57) | node26(s57) | (~until27(s57))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6773])).
% 1.25/1.24 tff(6775,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6774, 6772])).
% 1.25/1.24 tff(6776,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6777,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 1.25/1.24 tff(6778,plain,
% 1.25/1.24 (xuntil28(s57)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6777, 5987, 6771, 5563])).
% 1.25/1.24 tff(6779,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6780,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6781,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6780, 6779])).
% 1.25/1.24 tff(6782,plain,
% 1.25/1.24 ((~xuntil28(s57)) | until27(s58)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6781, 4986, 6005])).
% 1.25/1.24 tff(6783,plain,
% 1.25/1.24 (until27(s58)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6782, 6778])).
% 1.25/1.24 tff(6784,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s58) | node26(s58) | (~until27(s58)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6785,plain,
% 1.25/1.24 ((node26(s58) | (~until27(s58)) | xuntil28(s58)) <=> (xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6786,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s58) | node26(s58) | (~until27(s58))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6785])).
% 1.25/1.24 tff(6787,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6786, 6784])).
% 1.25/1.24 tff(6788,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6789,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58))),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6788, 6787])).
% 1.25/1.24 tff(6790,plain,
% 1.25/1.24 (xuntil28(s58) | node26(s58)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6789, 5987, 6783])).
% 1.25/1.24 tff(6791,plain,
% 1.25/1.24 (xuntil28(s58)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6790, 5559])).
% 1.25/1.24 tff(6792,plain,
% 1.25/1.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6793,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6794,plain,
% 1.25/1.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59)),
% 1.25/1.24 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 1.25/1.24 tff(6795,plain,
% 1.25/1.24 ((~xuntil28(s58)) | until27(s59)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6794, 5050, 6005])).
% 1.25/1.24 tff(6796,plain,
% 1.25/1.24 (until27(s59)),
% 1.25/1.24 inference(unit_resolution,[status(thm)],[6795, 6791])).
% 1.25/1.24 tff(6797,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s59) | node26(s59) | (~until27(s59)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6798,plain,
% 1.25/1.24 ((node26(s59) | (~until27(s59)) | xuntil28(s59)) <=> (xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 1.25/1.24 inference(rewrite,[status(thm)],[])).
% 1.25/1.24 tff(6799,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s59) | node26(s59) | (~until27(s59))))),
% 1.25/1.24 inference(monotonicity,[status(thm)],[6798])).
% 1.25/1.24 tff(6800,plain,
% 1.25/1.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 1.25/1.24 inference(transitivity,[status(thm)],[6799, 6797])).
% 1.25/1.24 tff(6801,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))),
% 1.25/1.24 inference(quant_inst,[status(thm)],[])).
% 1.25/1.24 tff(6802,plain,
% 1.25/1.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 1.25/1.25 tff(6803,plain,
% 1.25/1.25 (xuntil28(s59)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6802, 5987, 6796, 5550])).
% 1.25/1.25 tff(6804,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6805,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6806,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60)),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6805, 6804])).
% 1.25/1.25 tff(6807,plain,
% 1.25/1.25 ((~xuntil28(s59)) | until27(s60)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6806, 5125, 6005])).
% 1.25/1.25 tff(6808,plain,
% 1.25/1.25 (until27(s60)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6807, 6803])).
% 1.25/1.25 tff(6809,plain,
% 1.25/1.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6810,plain,
% 1.25/1.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6811,plain,
% 1.25/1.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 1.25/1.25 tff(6812,plain,
% 1.25/1.25 (~node26(s60)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6811, 5510, 5541])).
% 1.25/1.25 tff(6813,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s60) | node26(s60) | (~until27(s60)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6814,plain,
% 1.25/1.25 ((node26(s60) | (~until27(s60)) | xuntil28(s60)) <=> (xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6815,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s60) | node26(s60) | (~until27(s60))))),
% 1.25/1.25 inference(monotonicity,[status(thm)],[6814])).
% 1.25/1.25 tff(6816,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 1.25/1.25 inference(transitivity,[status(thm)],[6815, 6813])).
% 1.25/1.25 tff(6817,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6818,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6817, 6816])).
% 1.25/1.25 tff(6819,plain,
% 1.25/1.25 (xuntil28(s60) | (~until27(s60))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6818, 5987, 6812])).
% 1.25/1.25 tff(6820,plain,
% 1.25/1.25 (xuntil28(s60)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6819, 6808])).
% 1.25/1.25 tff(6821,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6822,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6823,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61)),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 1.25/1.25 tff(6824,plain,
% 1.25/1.25 ((~xuntil28(s60)) | until27(s61)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6823, 5214, 6005])).
% 1.25/1.25 tff(6825,plain,
% 1.25/1.25 (until27(s61)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6824, 6820])).
% 1.25/1.25 tff(6826,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s61) | node26(s61) | (~until27(s61)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6827,plain,
% 1.25/1.25 ((node26(s61) | (~until27(s61)) | xuntil28(s61)) <=> (xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6828,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s61) | node26(s61) | (~until27(s61))))),
% 1.25/1.25 inference(monotonicity,[status(thm)],[6827])).
% 1.25/1.25 tff(6829,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 1.25/1.25 inference(transitivity,[status(thm)],[6828, 6826])).
% 1.25/1.25 tff(6830,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6831,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 1.25/1.25 tff(6832,plain,
% 1.25/1.25 (xuntil28(s61)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6831, 5987, 6825, 5534])).
% 1.25/1.25 tff(6833,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6834,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6835,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62)),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 1.25/1.25 tff(6836,plain,
% 1.25/1.25 ((~xuntil28(s61)) | until27(s62)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6835, 5281, 6005])).
% 1.25/1.25 tff(6837,plain,
% 1.25/1.25 (until27(s62)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6836, 6832])).
% 1.25/1.25 tff(6838,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s62) | node26(s62) | (~until27(s62)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6839,plain,
% 1.25/1.25 ((node26(s62) | (~until27(s62)) | xuntil28(s62)) <=> (xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6840,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s62) | node26(s62) | (~until27(s62))))),
% 1.25/1.25 inference(monotonicity,[status(thm)],[6839])).
% 1.25/1.25 tff(6841,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 1.25/1.25 inference(transitivity,[status(thm)],[6840, 6838])).
% 1.25/1.25 tff(6842,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6843,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 1.25/1.25 tff(6844,plain,
% 1.25/1.25 (xuntil28(s62) | node26(s62)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6843, 5987, 6837])).
% 1.25/1.25 tff(6845,plain,
% 1.25/1.25 (xuntil28(s62)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6844, 5523])).
% 1.25/1.25 tff(6846,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6847,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6848,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63)),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 1.25/1.25 tff(6849,plain,
% 1.25/1.25 ((~xuntil28(s62)) | until27(s63)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6848, 5380, 6005])).
% 1.25/1.25 tff(6850,plain,
% 1.25/1.25 (until27(s63)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6849, 6845])).
% 1.25/1.25 tff(6851,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s63) | node26(s63) | (~until27(s63)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6852,plain,
% 1.25/1.25 ((node26(s63) | (~until27(s63)) | xuntil28(s63)) <=> (xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6853,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s63) | node26(s63) | (~until27(s63))))),
% 1.25/1.25 inference(monotonicity,[status(thm)],[6852])).
% 1.25/1.25 tff(6854,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 1.25/1.25 inference(transitivity,[status(thm)],[6853, 6851])).
% 1.25/1.25 tff(6855,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6856,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 1.25/1.25 tff(6857,plain,
% 1.25/1.25 (xuntil28(s63)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6856, 5987, 6850, 5514])).
% 1.25/1.25 tff(6858,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6859,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6860,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64)),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 1.25/1.25 tff(6861,plain,
% 1.25/1.25 ((~xuntil28(s63)) | until27(s64)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6860, 5458, 6005])).
% 1.25/1.25 tff(6862,plain,
% 1.25/1.25 (until27(s64)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6861, 6857])).
% 1.25/1.25 tff(6863,plain,
% 1.25/1.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6864,plain,
% 1.25/1.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6865,plain,
% 1.25/1.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 1.25/1.25 tff(6866,plain,
% 1.25/1.25 (~node26(s64)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6865, 5510, 5485])).
% 1.25/1.25 tff(6867,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s64) | node26(s64) | (~until27(s64)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6868,plain,
% 1.25/1.25 ((node26(s64) | (~until27(s64)) | xuntil28(s64)) <=> (xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6869,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s64) | node26(s64) | (~until27(s64))))),
% 1.25/1.25 inference(monotonicity,[status(thm)],[6868])).
% 1.25/1.25 tff(6870,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 1.25/1.25 inference(transitivity,[status(thm)],[6869, 6867])).
% 1.25/1.25 tff(6871,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6872,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6871, 6870])).
% 1.25/1.25 tff(6873,plain,
% 1.25/1.25 (xuntil28(s64) | (~until27(s64))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6872, 5987, 6866])).
% 1.25/1.25 tff(6874,plain,
% 1.25/1.25 (xuntil28(s64)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6873, 6862])).
% 1.25/1.25 tff(6875,plain,
% 1.25/1.25 (^[X: $i] : refl(((~last(X)) | (~xuntil2p30(X))) <=> ((~last(X)) | (~xuntil2p30(X))))),
% 1.25/1.25 inference(bind,[status(th)],[])).
% 1.25/1.25 tff(6876,plain,
% 1.25/1.25 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(quant_intro,[status(thm)],[6875])).
% 1.25/1.25 tff(6877,plain,
% 1.25/1.25 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6878,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty25')).
% 1.25/1.25 tff(6879,plain,
% 1.25/1.25 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 1.25/1.25 tff(6880,plain,(
% 1.25/1.25 ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(skolemize,[status(sab)],[6879])).
% 1.25/1.25 tff(6881,plain,
% 1.25/1.25 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6880, 6876])).
% 1.25/1.25 tff(6882,plain,
% 1.25/1.25 (last(s64) <=> last(s64)),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6883,axiom,(last(s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 1.25/1.25 tff(6884,plain,
% 1.25/1.25 (last(s64)),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6883, 6882])).
% 1.25/1.25 tff(6885,plain,
% 1.25/1.25 (((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s64)) | (~xuntil2p30(s64)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s64)) | (~xuntil2p30(s64)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6886,plain,
% 1.25/1.25 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s64)) | (~xuntil2p30(s64)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6887,plain,
% 1.25/1.25 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s64)) | (~xuntil2p30(s64))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 1.25/1.25 tff(6888,plain,
% 1.25/1.25 (~xuntil2p30(s64)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6887, 6884, 6881])).
% 1.25/1.25 tff(6889,plain,
% 1.25/1.25 (^[X: $i] : refl((node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 1.25/1.25 inference(bind,[status(th)],[])).
% 1.25/1.25 tff(6890,plain,
% 1.25/1.25 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(quant_intro,[status(thm)],[6889])).
% 1.25/1.25 tff(6891,plain,
% 1.25/1.25 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6892,plain,
% 1.25/1.25 (^[X: $i] : rewrite(((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 1.25/1.25 inference(bind,[status(th)],[])).
% 1.25/1.25 tff(6893,plain,
% 1.25/1.25 (![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(quant_intro,[status(thm)],[6892])).
% 1.25/1.25 tff(6894,axiom,(![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty23')).
% 1.25/1.25 tff(6895,plain,
% 1.25/1.25 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 1.25/1.25 tff(6896,plain,
% 1.25/1.25 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6895, 6891])).
% 1.25/1.25 tff(6897,plain,(
% 1.25/1.25 ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(skolemize,[status(sab)],[6896])).
% 1.25/1.25 tff(6898,plain,
% 1.25/1.25 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6897, 6890])).
% 1.25/1.25 tff(6899,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6900,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6901,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 1.25/1.25 tff(6902,plain,
% 1.25/1.25 (node26(s64) | (~until2p29(s64))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6901, 6898, 6888])).
% 1.25/1.25 tff(6903,plain,
% 1.25/1.25 (~until2p29(s64)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6902, 6866])).
% 1.25/1.25 tff(6904,plain,
% 1.25/1.25 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 1.25/1.25 inference(bind,[status(th)],[])).
% 1.25/1.25 tff(6905,plain,
% 1.25/1.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(quant_intro,[status(thm)],[6904])).
% 1.25/1.25 tff(6906,plain,
% 1.25/1.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6907,plain,
% 1.25/1.25 (^[Y: $i, X: $i] : rewrite(((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 1.25/1.25 inference(bind,[status(th)],[])).
% 1.25/1.25 tff(6908,plain,
% 1.25/1.25 (![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(quant_intro,[status(thm)],[6907])).
% 1.25/1.25 tff(6909,axiom,(![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty24')).
% 1.25/1.25 tff(6910,plain,
% 1.25/1.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6909, 6908])).
% 1.25/1.25 tff(6911,plain,
% 1.25/1.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6910, 6906])).
% 1.25/1.25 tff(6912,plain,(
% 1.25/1.25 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(skolemize,[status(sab)],[6911])).
% 1.25/1.25 tff(6913,plain,
% 1.25/1.25 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6912, 6905])).
% 1.25/1.25 tff(6914,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6915,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6916,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 1.25/1.25 tff(6917,plain,
% 1.25/1.25 (until2p29(s64) | (~xuntil2p30(s63))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6916, 5458, 6913])).
% 1.25/1.25 tff(6918,plain,
% 1.25/1.25 (~xuntil2p30(s63)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6917, 6903])).
% 1.25/1.25 tff(6919,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6920,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6921,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6920, 6919])).
% 1.25/1.25 tff(6922,plain,
% 1.25/1.25 (~until2p29(s63)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6921, 6898, 6918, 5514])).
% 1.25/1.25 tff(6923,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6924,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6925,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6924, 6923])).
% 1.25/1.25 tff(6926,plain,
% 1.25/1.25 (until2p29(s63) | (~xuntil2p30(s62))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6925, 5380, 6913])).
% 1.25/1.25 tff(6927,plain,
% 1.25/1.25 (~xuntil2p30(s62)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6926, 6922])).
% 1.25/1.25 tff(6928,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6929,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6930,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 1.25/1.25 tff(6931,plain,
% 1.25/1.25 (xuntil2p30(s62) | (~until2p29(s62))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6930, 6898, 5523])).
% 1.25/1.25 tff(6932,plain,
% 1.25/1.25 (~until2p29(s62)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6931, 6927])).
% 1.25/1.25 tff(6933,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6934,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6935,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 1.25/1.25 tff(6936,plain,
% 1.25/1.25 (until2p29(s62) | (~xuntil2p30(s61))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6935, 5281, 6913])).
% 1.25/1.25 tff(6937,plain,
% 1.25/1.25 (~xuntil2p30(s61)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6936, 6932])).
% 1.25/1.25 tff(6938,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6939,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6940,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 1.25/1.25 tff(6941,plain,
% 1.25/1.25 (xuntil2p30(s61) | (~until2p29(s61))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6940, 6898, 5534])).
% 1.25/1.25 tff(6942,plain,
% 1.25/1.25 (~until2p29(s61)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6941, 6937])).
% 1.25/1.25 tff(6943,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6944,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6945,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6944, 6943])).
% 1.25/1.25 tff(6946,plain,
% 1.25/1.25 (until2p29(s61) | (~xuntil2p30(s60))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6945, 5214, 6913])).
% 1.25/1.25 tff(6947,plain,
% 1.25/1.25 (~xuntil2p30(s60)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6946, 6942])).
% 1.25/1.25 tff(6948,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6949,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6950,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 1.25/1.25 tff(6951,plain,
% 1.25/1.25 (xuntil2p30(s60) | (~until2p29(s60))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6950, 6898, 6812])).
% 1.25/1.25 tff(6952,plain,
% 1.25/1.25 (~until2p29(s60)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6951, 6947])).
% 1.25/1.25 tff(6953,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6954,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6955,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 1.25/1.25 tff(6956,plain,
% 1.25/1.25 (until2p29(s60) | (~xuntil2p30(s59))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6955, 5125, 6913])).
% 1.25/1.25 tff(6957,plain,
% 1.25/1.25 (~xuntil2p30(s59)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6956, 6952])).
% 1.25/1.25 tff(6958,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6959,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6960,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 1.25/1.25 tff(6961,plain,
% 1.25/1.25 (xuntil2p30(s59) | (~until2p29(s59))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6960, 6898, 5550])).
% 1.25/1.25 tff(6962,plain,
% 1.25/1.25 (~until2p29(s59)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6961, 6957])).
% 1.25/1.25 tff(6963,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6964,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6965,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6964, 6963])).
% 1.25/1.25 tff(6966,plain,
% 1.25/1.25 (until2p29(s59) | (~xuntil2p30(s58))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6965, 5050, 6913])).
% 1.25/1.25 tff(6967,plain,
% 1.25/1.25 (~xuntil2p30(s58)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6966, 6962])).
% 1.25/1.25 tff(6968,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6969,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6970,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 1.25/1.25 tff(6971,plain,
% 1.25/1.25 (xuntil2p30(s58) | (~until2p29(s58))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6970, 6898, 5559])).
% 1.25/1.25 tff(6972,plain,
% 1.25/1.25 (~until2p29(s58)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6971, 6967])).
% 1.25/1.25 tff(6973,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6974,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6975,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6974, 6973])).
% 1.25/1.25 tff(6976,plain,
% 1.25/1.25 (until2p29(s58) | (~xuntil2p30(s57))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6975, 4986, 6913])).
% 1.25/1.25 tff(6977,plain,
% 1.25/1.25 (~xuntil2p30(s57)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6976, 6972])).
% 1.25/1.25 tff(6978,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6979,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6980,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6979, 6978])).
% 1.25/1.25 tff(6981,plain,
% 1.25/1.25 (xuntil2p30(s57) | (~until2p29(s57))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6980, 6898, 5563])).
% 1.25/1.25 tff(6982,plain,
% 1.25/1.25 (~until2p29(s57)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6981, 6977])).
% 1.25/1.25 tff(6983,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6984,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6985,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 1.25/1.25 tff(6986,plain,
% 1.25/1.25 (until2p29(s57) | (~xuntil2p30(s56))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6985, 4891, 6913])).
% 1.25/1.25 tff(6987,plain,
% 1.25/1.25 (~xuntil2p30(s56)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6986, 6982])).
% 1.25/1.25 tff(6988,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6989,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6990,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6989, 6988])).
% 1.25/1.25 tff(6991,plain,
% 1.25/1.25 (xuntil2p30(s56) | (~until2p29(s56))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6990, 6898, 6758])).
% 1.25/1.25 tff(6992,plain,
% 1.25/1.25 (~until2p29(s56)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6991, 6987])).
% 1.25/1.25 tff(6993,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6994,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(6995,plain,
% 1.25/1.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 1.25/1.25 tff(6996,plain,
% 1.25/1.25 (until2p29(s56) | (~xuntil2p30(s55))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6995, 4830, 6913])).
% 1.25/1.25 tff(6997,plain,
% 1.25/1.25 (~xuntil2p30(s55)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[6996, 6992])).
% 1.25/1.25 tff(6998,plain,
% 1.25/1.25 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 1.25/1.25 inference(rewrite,[status(thm)],[])).
% 1.25/1.25 tff(6999,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 1.25/1.25 inference(quant_inst,[status(thm)],[])).
% 1.25/1.25 tff(7000,plain,
% 1.25/1.25 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55))),
% 1.25/1.25 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 1.25/1.25 tff(7001,plain,
% 1.25/1.25 (xuntil2p30(s55) | (~until2p29(s55))),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[7000, 6898, 5579])).
% 1.25/1.25 tff(7002,plain,
% 1.25/1.25 (~until2p29(s55)),
% 1.25/1.25 inference(unit_resolution,[status(thm)],[7001, 6997])).
% 1.25/1.25 tff(7003,plain,
% 1.25/1.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7004,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7005,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 1.25/1.26 tff(7006,plain,
% 1.25/1.26 (until2p29(s55) | (~xuntil2p30(s54))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7005, 4752, 6913])).
% 1.25/1.26 tff(7007,plain,
% 1.25/1.26 (~xuntil2p30(s54)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7006, 7002])).
% 1.25/1.26 tff(7008,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7009,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7010,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7009, 7008])).
% 1.25/1.26 tff(7011,plain,
% 1.25/1.26 (xuntil2p30(s54) | (~until2p29(s54))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7010, 6898, 5588])).
% 1.25/1.26 tff(7012,plain,
% 1.25/1.26 (~until2p29(s54)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7011, 7007])).
% 1.25/1.26 tff(7013,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7014,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7015,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 1.25/1.26 tff(7016,plain,
% 1.25/1.26 (until2p29(s54) | (~xuntil2p30(s53))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7015, 4653, 6913])).
% 1.25/1.26 tff(7017,plain,
% 1.25/1.26 (~xuntil2p30(s53)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7016, 7012])).
% 1.25/1.26 tff(7018,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7019,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7020,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7019, 7018])).
% 1.25/1.26 tff(7021,plain,
% 1.25/1.26 (xuntil2p30(s53) | (~until2p29(s53))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7020, 6898, 5592])).
% 1.25/1.26 tff(7022,plain,
% 1.25/1.26 (~until2p29(s53)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7021, 7017])).
% 1.25/1.26 tff(7023,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7024,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7025,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 1.25/1.26 tff(7026,plain,
% 1.25/1.26 (until2p29(s53) | (~xuntil2p30(s52))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7025, 4586, 6913])).
% 1.25/1.26 tff(7027,plain,
% 1.25/1.26 (~xuntil2p30(s52)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7026, 7022])).
% 1.25/1.26 tff(7028,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7029,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7030,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7029, 7028])).
% 1.25/1.26 tff(7031,plain,
% 1.25/1.26 (xuntil2p30(s52) | (~until2p29(s52))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7030, 6898, 6704])).
% 1.25/1.26 tff(7032,plain,
% 1.25/1.26 (~until2p29(s52)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7031, 7027])).
% 1.25/1.26 tff(7033,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7034,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7035,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 1.25/1.26 tff(7036,plain,
% 1.25/1.26 (until2p29(s52) | (~xuntil2p30(s51))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7035, 4497, 6913])).
% 1.25/1.26 tff(7037,plain,
% 1.25/1.26 (~xuntil2p30(s51)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7036, 7032])).
% 1.25/1.26 tff(7038,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7039,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7040,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 1.25/1.26 tff(7041,plain,
% 1.25/1.26 (xuntil2p30(s51) | (~until2p29(s51))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7040, 6898, 5608])).
% 1.25/1.26 tff(7042,plain,
% 1.25/1.26 (~until2p29(s51)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7041, 7037])).
% 1.25/1.26 tff(7043,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7044,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7045,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7044, 7043])).
% 1.25/1.26 tff(7046,plain,
% 1.25/1.26 (until2p29(s51) | (~xuntil2p30(s50))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7045, 4422, 6913])).
% 1.25/1.26 tff(7047,plain,
% 1.25/1.26 (~xuntil2p30(s50)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7046, 7042])).
% 1.25/1.26 tff(7048,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7049,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7050,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7049, 7048])).
% 1.25/1.26 tff(7051,plain,
% 1.25/1.26 (xuntil2p30(s50) | (~until2p29(s50))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7050, 6898, 5617])).
% 1.25/1.26 tff(7052,plain,
% 1.25/1.26 (~until2p29(s50)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7051, 7047])).
% 1.25/1.26 tff(7053,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7054,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7055,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7054, 7053])).
% 1.25/1.26 tff(7056,plain,
% 1.25/1.26 (until2p29(s50) | (~xuntil2p30(s49))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7055, 4358, 6913])).
% 1.25/1.26 tff(7057,plain,
% 1.25/1.26 (~xuntil2p30(s49)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7056, 7052])).
% 1.25/1.26 tff(7058,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7059,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7060,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 1.25/1.26 tff(7061,plain,
% 1.25/1.26 (xuntil2p30(s49) | (~until2p29(s49))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7060, 6898, 5621])).
% 1.25/1.26 tff(7062,plain,
% 1.25/1.26 (~until2p29(s49)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7061, 7057])).
% 1.25/1.26 tff(7063,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7064,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7065,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 1.25/1.26 tff(7066,plain,
% 1.25/1.26 (until2p29(s49) | (~xuntil2p30(s48))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7065, 4263, 6913])).
% 1.25/1.26 tff(7067,plain,
% 1.25/1.26 (~xuntil2p30(s48)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7066, 7062])).
% 1.25/1.26 tff(7068,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7069,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7070,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7069, 7068])).
% 1.25/1.26 tff(7071,plain,
% 1.25/1.26 (xuntil2p30(s48) | (~until2p29(s48))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7070, 6898, 6650])).
% 1.25/1.26 tff(7072,plain,
% 1.25/1.26 (~until2p29(s48)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7071, 7067])).
% 1.25/1.26 tff(7073,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7074,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7075,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7074, 7073])).
% 1.25/1.26 tff(7076,plain,
% 1.25/1.26 (until2p29(s48) | (~xuntil2p30(s47))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7075, 4202, 6913])).
% 1.25/1.26 tff(7077,plain,
% 1.25/1.26 (~xuntil2p30(s47)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7076, 7072])).
% 1.25/1.26 tff(7078,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7079,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7080,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 1.25/1.26 tff(7081,plain,
% 1.25/1.26 (xuntil2p30(s47) | (~until2p29(s47))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7080, 6898, 5637])).
% 1.25/1.26 tff(7082,plain,
% 1.25/1.26 (~until2p29(s47)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7081, 7077])).
% 1.25/1.26 tff(7083,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7084,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7085,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 1.25/1.26 tff(7086,plain,
% 1.25/1.26 (until2p29(s47) | (~xuntil2p30(s46))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7085, 4124, 6913])).
% 1.25/1.26 tff(7087,plain,
% 1.25/1.26 (~xuntil2p30(s46)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7086, 7082])).
% 1.25/1.26 tff(7088,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7089,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7090,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 1.25/1.26 tff(7091,plain,
% 1.25/1.26 (xuntil2p30(s46) | (~until2p29(s46))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7090, 6898, 5646])).
% 1.25/1.26 tff(7092,plain,
% 1.25/1.26 (~until2p29(s46)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7091, 7087])).
% 1.25/1.26 tff(7093,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7094,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7095,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7094, 7093])).
% 1.25/1.26 tff(7096,plain,
% 1.25/1.26 (until2p29(s46) | (~xuntil2p30(s45))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7095, 4025, 6913])).
% 1.25/1.26 tff(7097,plain,
% 1.25/1.26 (~xuntil2p30(s45)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7096, 7092])).
% 1.25/1.26 tff(7098,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7099,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7100,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 1.25/1.26 tff(7101,plain,
% 1.25/1.26 (xuntil2p30(s45) | (~until2p29(s45))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7100, 6898, 5650])).
% 1.25/1.26 tff(7102,plain,
% 1.25/1.26 (~until2p29(s45)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7101, 7097])).
% 1.25/1.26 tff(7103,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7104,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7105,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 1.25/1.26 tff(7106,plain,
% 1.25/1.26 (until2p29(s45) | (~xuntil2p30(s44))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7105, 3958, 6913])).
% 1.25/1.26 tff(7107,plain,
% 1.25/1.26 (~xuntil2p30(s44)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7106, 7102])).
% 1.25/1.26 tff(7108,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7109,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7110,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7109, 7108])).
% 1.25/1.26 tff(7111,plain,
% 1.25/1.26 (xuntil2p30(s44) | (~until2p29(s44))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7110, 6898, 6596])).
% 1.25/1.26 tff(7112,plain,
% 1.25/1.26 (~until2p29(s44)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7111, 7107])).
% 1.25/1.26 tff(7113,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7114,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7115,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 1.25/1.26 tff(7116,plain,
% 1.25/1.26 (until2p29(s44) | (~xuntil2p30(s43))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7115, 3869, 6913])).
% 1.25/1.26 tff(7117,plain,
% 1.25/1.26 (~xuntil2p30(s43)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7116, 7112])).
% 1.25/1.26 tff(7118,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7119,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7120,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 1.25/1.26 tff(7121,plain,
% 1.25/1.26 (xuntil2p30(s43) | (~until2p29(s43))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7120, 6898, 5666])).
% 1.25/1.26 tff(7122,plain,
% 1.25/1.26 (~until2p29(s43)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7121, 7117])).
% 1.25/1.26 tff(7123,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7124,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7125,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7124, 7123])).
% 1.25/1.26 tff(7126,plain,
% 1.25/1.26 (until2p29(s43) | (~xuntil2p30(s42))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7125, 3794, 6913])).
% 1.25/1.26 tff(7127,plain,
% 1.25/1.26 (~xuntil2p30(s42)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7126, 7122])).
% 1.25/1.26 tff(7128,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7129,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7130,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 1.25/1.26 tff(7131,plain,
% 1.25/1.26 (xuntil2p30(s42) | (~until2p29(s42))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7130, 6898, 5675])).
% 1.25/1.26 tff(7132,plain,
% 1.25/1.26 (~until2p29(s42)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7131, 7127])).
% 1.25/1.26 tff(7133,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7134,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7135,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7134, 7133])).
% 1.25/1.26 tff(7136,plain,
% 1.25/1.26 (until2p29(s42) | (~xuntil2p30(s41))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7135, 3730, 6913])).
% 1.25/1.26 tff(7137,plain,
% 1.25/1.26 (~xuntil2p30(s41)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7136, 7132])).
% 1.25/1.26 tff(7138,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7139,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7140,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 1.25/1.26 tff(7141,plain,
% 1.25/1.26 (xuntil2p30(s41) | (~until2p29(s41))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7140, 6898, 5679])).
% 1.25/1.26 tff(7142,plain,
% 1.25/1.26 (~until2p29(s41)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7141, 7137])).
% 1.25/1.26 tff(7143,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7144,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7145,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 1.25/1.26 tff(7146,plain,
% 1.25/1.26 (until2p29(s41) | (~xuntil2p30(s40))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7145, 3635, 6913])).
% 1.25/1.26 tff(7147,plain,
% 1.25/1.26 (~xuntil2p30(s40)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7146, 7142])).
% 1.25/1.26 tff(7148,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7149,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7150,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 1.25/1.26 tff(7151,plain,
% 1.25/1.26 (xuntil2p30(s40) | (~until2p29(s40))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7150, 6898, 6542])).
% 1.25/1.26 tff(7152,plain,
% 1.25/1.26 (~until2p29(s40)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7151, 7147])).
% 1.25/1.26 tff(7153,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7154,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7155,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7154, 7153])).
% 1.25/1.26 tff(7156,plain,
% 1.25/1.26 (until2p29(s40) | (~xuntil2p30(s39))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7155, 3574, 6913])).
% 1.25/1.26 tff(7157,plain,
% 1.25/1.26 (~xuntil2p30(s39)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7156, 7152])).
% 1.25/1.26 tff(7158,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7159,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7160,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 1.25/1.26 tff(7161,plain,
% 1.25/1.26 (xuntil2p30(s39) | (~until2p29(s39))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7160, 6898, 5695])).
% 1.25/1.26 tff(7162,plain,
% 1.25/1.26 (~until2p29(s39)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7161, 7157])).
% 1.25/1.26 tff(7163,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7164,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7165,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 1.25/1.26 tff(7166,plain,
% 1.25/1.26 (until2p29(s39) | (~xuntil2p30(s38))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7165, 3496, 6913])).
% 1.25/1.26 tff(7167,plain,
% 1.25/1.26 (~xuntil2p30(s38)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7166, 7162])).
% 1.25/1.26 tff(7168,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7169,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7170,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7169, 7168])).
% 1.25/1.26 tff(7171,plain,
% 1.25/1.26 (xuntil2p30(s38) | (~until2p29(s38))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7170, 6898, 5704])).
% 1.25/1.26 tff(7172,plain,
% 1.25/1.26 (~until2p29(s38)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7171, 7167])).
% 1.25/1.26 tff(7173,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7174,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7175,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7174, 7173])).
% 1.25/1.26 tff(7176,plain,
% 1.25/1.26 (until2p29(s38) | (~xuntil2p30(s37))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7175, 3397, 6913])).
% 1.25/1.26 tff(7177,plain,
% 1.25/1.26 (~xuntil2p30(s37)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7176, 7172])).
% 1.25/1.26 tff(7178,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7179,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7180,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 1.25/1.26 tff(7181,plain,
% 1.25/1.26 (xuntil2p30(s37) | (~until2p29(s37))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7180, 6898, 5708])).
% 1.25/1.26 tff(7182,plain,
% 1.25/1.26 (~until2p29(s37)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7181, 7177])).
% 1.25/1.26 tff(7183,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7184,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7185,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7184, 7183])).
% 1.25/1.26 tff(7186,plain,
% 1.25/1.26 (until2p29(s37) | (~xuntil2p30(s36))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7185, 3330, 6913])).
% 1.25/1.26 tff(7187,plain,
% 1.25/1.26 (~xuntil2p30(s36)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7186, 7182])).
% 1.25/1.26 tff(7188,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7189,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7190,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7189, 7188])).
% 1.25/1.26 tff(7191,plain,
% 1.25/1.26 (xuntil2p30(s36) | (~until2p29(s36))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7190, 6898, 6488])).
% 1.25/1.26 tff(7192,plain,
% 1.25/1.26 (~until2p29(s36)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7191, 7187])).
% 1.25/1.26 tff(7193,plain,
% 1.25/1.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7194,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7195,plain,
% 1.25/1.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35))),
% 1.25/1.26 inference(modus_ponens,[status(thm)],[7194, 7193])).
% 1.25/1.26 tff(7196,plain,
% 1.25/1.26 (until2p29(s36) | (~xuntil2p30(s35))),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7195, 3241, 6913])).
% 1.25/1.26 tff(7197,plain,
% 1.25/1.26 (~xuntil2p30(s35)),
% 1.25/1.26 inference(unit_resolution,[status(thm)],[7196, 7192])).
% 1.25/1.26 tff(7198,plain,
% 1.25/1.26 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 1.25/1.26 inference(rewrite,[status(thm)],[])).
% 1.25/1.26 tff(7199,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 1.25/1.26 inference(quant_inst,[status(thm)],[])).
% 1.25/1.26 tff(7200,plain,
% 1.25/1.26 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 1.25/1.27 tff(7201,plain,
% 1.25/1.27 (xuntil2p30(s35) | (~until2p29(s35))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7200, 6898, 5724])).
% 1.25/1.27 tff(7202,plain,
% 1.25/1.27 (~until2p29(s35)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7201, 7197])).
% 1.25/1.27 tff(7203,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7204,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7205,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 1.25/1.27 tff(7206,plain,
% 1.25/1.27 (until2p29(s35) | (~xuntil2p30(s34))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7205, 3166, 6913])).
% 1.25/1.27 tff(7207,plain,
% 1.25/1.27 (~xuntil2p30(s34)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7206, 7202])).
% 1.25/1.27 tff(7208,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7209,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7210,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7209, 7208])).
% 1.25/1.27 tff(7211,plain,
% 1.25/1.27 (xuntil2p30(s34) | (~until2p29(s34))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7210, 6898, 5733])).
% 1.25/1.27 tff(7212,plain,
% 1.25/1.27 (~until2p29(s34)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7211, 7207])).
% 1.25/1.27 tff(7213,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7214,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7215,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 1.25/1.27 tff(7216,plain,
% 1.25/1.27 (until2p29(s34) | (~xuntil2p30(s33))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7215, 3102, 6913])).
% 1.25/1.27 tff(7217,plain,
% 1.25/1.27 (~xuntil2p30(s33)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7216, 7212])).
% 1.25/1.27 tff(7218,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7219,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7220,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 1.25/1.27 tff(7221,plain,
% 1.25/1.27 (xuntil2p30(s33) | (~until2p29(s33))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7220, 6898, 5737])).
% 1.25/1.27 tff(7222,plain,
% 1.25/1.27 (~until2p29(s33)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7221, 7217])).
% 1.25/1.27 tff(7223,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7224,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7225,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 1.25/1.27 tff(7226,plain,
% 1.25/1.27 (until2p29(s33) | (~xuntil2p30(s32))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7225, 3007, 6913])).
% 1.25/1.27 tff(7227,plain,
% 1.25/1.27 (~xuntil2p30(s32)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7226, 7222])).
% 1.25/1.27 tff(7228,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7229,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7230,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7229, 7228])).
% 1.25/1.27 tff(7231,plain,
% 1.25/1.27 (xuntil2p30(s32) | (~until2p29(s32))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7230, 6898, 6434])).
% 1.25/1.27 tff(7232,plain,
% 1.25/1.27 (~until2p29(s32)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7231, 7227])).
% 1.25/1.27 tff(7233,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7234,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7235,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7234, 7233])).
% 1.25/1.27 tff(7236,plain,
% 1.25/1.27 (until2p29(s32) | (~xuntil2p30(s31))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7235, 2946, 6913])).
% 1.25/1.27 tff(7237,plain,
% 1.25/1.27 (~xuntil2p30(s31)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7236, 7232])).
% 1.25/1.27 tff(7238,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7239,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7240,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 1.25/1.27 tff(7241,plain,
% 1.25/1.27 (xuntil2p30(s31) | (~until2p29(s31))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7240, 6898, 5753])).
% 1.25/1.27 tff(7242,plain,
% 1.25/1.27 (~until2p29(s31)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7241, 7237])).
% 1.25/1.27 tff(7243,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7244,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7245,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 1.25/1.27 tff(7246,plain,
% 1.25/1.27 (until2p29(s31) | (~xuntil2p30(s30))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7245, 2868, 6913])).
% 1.25/1.27 tff(7247,plain,
% 1.25/1.27 (~xuntil2p30(s30)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7246, 7242])).
% 1.25/1.27 tff(7248,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7249,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7250,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7249, 7248])).
% 1.25/1.27 tff(7251,plain,
% 1.25/1.27 (xuntil2p30(s30) | (~until2p29(s30))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7250, 6898, 5762])).
% 1.25/1.27 tff(7252,plain,
% 1.25/1.27 (~until2p29(s30)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7251, 7247])).
% 1.25/1.27 tff(7253,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7254,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7255,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 1.25/1.27 tff(7256,plain,
% 1.25/1.27 (until2p29(s30) | (~xuntil2p30(s29))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7255, 2769, 6913])).
% 1.25/1.27 tff(7257,plain,
% 1.25/1.27 (~xuntil2p30(s29)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7256, 7252])).
% 1.25/1.27 tff(7258,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7259,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7260,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 1.25/1.27 tff(7261,plain,
% 1.25/1.27 (xuntil2p30(s29) | (~until2p29(s29))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7260, 6898, 5766])).
% 1.25/1.27 tff(7262,plain,
% 1.25/1.27 (~until2p29(s29)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7261, 7257])).
% 1.25/1.27 tff(7263,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7264,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7265,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 1.25/1.27 tff(7266,plain,
% 1.25/1.27 (until2p29(s29) | (~xuntil2p30(s28))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7265, 2702, 6913])).
% 1.25/1.27 tff(7267,plain,
% 1.25/1.27 (~xuntil2p30(s28)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7266, 7262])).
% 1.25/1.27 tff(7268,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7269,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7270,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7269, 7268])).
% 1.25/1.27 tff(7271,plain,
% 1.25/1.27 (xuntil2p30(s28) | (~until2p29(s28))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7270, 6898, 6380])).
% 1.25/1.27 tff(7272,plain,
% 1.25/1.27 (~until2p29(s28)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7271, 7267])).
% 1.25/1.27 tff(7273,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7274,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7275,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7274, 7273])).
% 1.25/1.27 tff(7276,plain,
% 1.25/1.27 (until2p29(s28) | (~xuntil2p30(s27))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7275, 2613, 6913])).
% 1.25/1.27 tff(7277,plain,
% 1.25/1.27 (~xuntil2p30(s27)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7276, 7272])).
% 1.25/1.27 tff(7278,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7279,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7280,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7279, 7278])).
% 1.25/1.27 tff(7281,plain,
% 1.25/1.27 (xuntil2p30(s27) | (~until2p29(s27))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7280, 6898, 5782])).
% 1.25/1.27 tff(7282,plain,
% 1.25/1.27 (~until2p29(s27)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7281, 7277])).
% 1.25/1.27 tff(7283,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7284,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7285,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7284, 7283])).
% 1.25/1.27 tff(7286,plain,
% 1.25/1.27 (until2p29(s27) | (~xuntil2p30(s26))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7285, 2538, 6913])).
% 1.25/1.27 tff(7287,plain,
% 1.25/1.27 (~xuntil2p30(s26)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7286, 7282])).
% 1.25/1.27 tff(7288,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7289,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7290,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7289, 7288])).
% 1.25/1.27 tff(7291,plain,
% 1.25/1.27 (xuntil2p30(s26) | (~until2p29(s26))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7290, 6898, 5791])).
% 1.25/1.27 tff(7292,plain,
% 1.25/1.27 (~until2p29(s26)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7291, 7287])).
% 1.25/1.27 tff(7293,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7294,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7295,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 1.25/1.27 tff(7296,plain,
% 1.25/1.27 (until2p29(s26) | (~xuntil2p30(s25))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7295, 2474, 6913])).
% 1.25/1.27 tff(7297,plain,
% 1.25/1.27 (~xuntil2p30(s25)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7296, 7292])).
% 1.25/1.27 tff(7298,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7299,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7300,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7299, 7298])).
% 1.25/1.27 tff(7301,plain,
% 1.25/1.27 (xuntil2p30(s25) | (~until2p29(s25))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7300, 6898, 5795])).
% 1.25/1.27 tff(7302,plain,
% 1.25/1.27 (~until2p29(s25)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7301, 7297])).
% 1.25/1.27 tff(7303,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7304,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7305,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7304, 7303])).
% 1.25/1.27 tff(7306,plain,
% 1.25/1.27 (until2p29(s25) | (~xuntil2p30(s24))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7305, 2379, 6913])).
% 1.25/1.27 tff(7307,plain,
% 1.25/1.27 (~xuntil2p30(s24)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7306, 7302])).
% 1.25/1.27 tff(7308,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7309,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7310,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 1.25/1.27 tff(7311,plain,
% 1.25/1.27 (xuntil2p30(s24) | (~until2p29(s24))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7310, 6898, 6326])).
% 1.25/1.27 tff(7312,plain,
% 1.25/1.27 (~until2p29(s24)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7311, 7307])).
% 1.25/1.27 tff(7313,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7314,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7315,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7314, 7313])).
% 1.25/1.27 tff(7316,plain,
% 1.25/1.27 (until2p29(s24) | (~xuntil2p30(s23))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7315, 2318, 6913])).
% 1.25/1.27 tff(7317,plain,
% 1.25/1.27 (~xuntil2p30(s23)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7316, 7312])).
% 1.25/1.27 tff(7318,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7319,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7320,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 1.25/1.27 tff(7321,plain,
% 1.25/1.27 (xuntil2p30(s23) | (~until2p29(s23))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7320, 6898, 5811])).
% 1.25/1.27 tff(7322,plain,
% 1.25/1.27 (~until2p29(s23)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7321, 7317])).
% 1.25/1.27 tff(7323,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7324,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7325,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7324, 7323])).
% 1.25/1.27 tff(7326,plain,
% 1.25/1.27 (until2p29(s23) | (~xuntil2p30(s22))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7325, 2240, 6913])).
% 1.25/1.27 tff(7327,plain,
% 1.25/1.27 (~xuntil2p30(s22)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7326, 7322])).
% 1.25/1.27 tff(7328,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7329,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7330,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 1.25/1.27 tff(7331,plain,
% 1.25/1.27 (xuntil2p30(s22) | (~until2p29(s22))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7330, 6898, 5820])).
% 1.25/1.27 tff(7332,plain,
% 1.25/1.27 (~until2p29(s22)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7331, 7327])).
% 1.25/1.27 tff(7333,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7334,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7335,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7334, 7333])).
% 1.25/1.27 tff(7336,plain,
% 1.25/1.27 (until2p29(s22) | (~xuntil2p30(s21))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7335, 2141, 6913])).
% 1.25/1.27 tff(7337,plain,
% 1.25/1.27 (~xuntil2p30(s21)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7336, 7332])).
% 1.25/1.27 tff(7338,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7339,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7340,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7339, 7338])).
% 1.25/1.27 tff(7341,plain,
% 1.25/1.27 (xuntil2p30(s21) | (~until2p29(s21))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7340, 6898, 5824])).
% 1.25/1.27 tff(7342,plain,
% 1.25/1.27 (~until2p29(s21)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7341, 7337])).
% 1.25/1.27 tff(7343,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7344,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7345,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7344, 7343])).
% 1.25/1.27 tff(7346,plain,
% 1.25/1.27 (until2p29(s21) | (~xuntil2p30(s20))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7345, 2074, 6913])).
% 1.25/1.27 tff(7347,plain,
% 1.25/1.27 (~xuntil2p30(s20)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7346, 7342])).
% 1.25/1.27 tff(7348,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7349,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7350,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 1.25/1.27 tff(7351,plain,
% 1.25/1.27 (xuntil2p30(s20) | (~until2p29(s20))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7350, 6898, 6272])).
% 1.25/1.27 tff(7352,plain,
% 1.25/1.27 (~until2p29(s20)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7351, 7347])).
% 1.25/1.27 tff(7353,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7354,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7355,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7354, 7353])).
% 1.25/1.27 tff(7356,plain,
% 1.25/1.27 (until2p29(s20) | (~xuntil2p30(s19))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7355, 1985, 6913])).
% 1.25/1.27 tff(7357,plain,
% 1.25/1.27 (~xuntil2p30(s19)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7356, 7352])).
% 1.25/1.27 tff(7358,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7359,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7360,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 1.25/1.27 tff(7361,plain,
% 1.25/1.27 (xuntil2p30(s19) | (~until2p29(s19))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7360, 6898, 5840])).
% 1.25/1.27 tff(7362,plain,
% 1.25/1.27 (~until2p29(s19)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7361, 7357])).
% 1.25/1.27 tff(7363,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7364,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7365,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7364, 7363])).
% 1.25/1.27 tff(7366,plain,
% 1.25/1.27 (until2p29(s19) | (~xuntil2p30(s18))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7365, 1910, 6913])).
% 1.25/1.27 tff(7367,plain,
% 1.25/1.27 (~xuntil2p30(s18)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7366, 7362])).
% 1.25/1.27 tff(7368,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7369,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7370,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 1.25/1.27 tff(7371,plain,
% 1.25/1.27 (xuntil2p30(s18) | (~until2p29(s18))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7370, 6898, 5849])).
% 1.25/1.27 tff(7372,plain,
% 1.25/1.27 (~until2p29(s18)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7371, 7367])).
% 1.25/1.27 tff(7373,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7374,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7375,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7374, 7373])).
% 1.25/1.27 tff(7376,plain,
% 1.25/1.27 (until2p29(s18) | (~xuntil2p30(s17))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7375, 1846, 6913])).
% 1.25/1.27 tff(7377,plain,
% 1.25/1.27 (~xuntil2p30(s17)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7376, 7372])).
% 1.25/1.27 tff(7378,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7379,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7380,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 1.25/1.27 tff(7381,plain,
% 1.25/1.27 (xuntil2p30(s17) | (~until2p29(s17))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7380, 6898, 5853])).
% 1.25/1.27 tff(7382,plain,
% 1.25/1.27 (~until2p29(s17)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7381, 7377])).
% 1.25/1.27 tff(7383,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7384,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7385,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7384, 7383])).
% 1.25/1.27 tff(7386,plain,
% 1.25/1.27 (until2p29(s17) | (~xuntil2p30(s16))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7385, 1751, 6913])).
% 1.25/1.27 tff(7387,plain,
% 1.25/1.27 (~xuntil2p30(s16)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7386, 7382])).
% 1.25/1.27 tff(7388,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7389,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7390,plain,
% 1.25/1.27 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7389, 7388])).
% 1.25/1.27 tff(7391,plain,
% 1.25/1.27 (xuntil2p30(s16) | (~until2p29(s16))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7390, 6898, 6218])).
% 1.25/1.27 tff(7392,plain,
% 1.25/1.27 (~until2p29(s16)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7391, 7387])).
% 1.25/1.27 tff(7393,plain,
% 1.25/1.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 1.25/1.27 inference(rewrite,[status(thm)],[])).
% 1.25/1.27 tff(7394,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 1.25/1.27 inference(quant_inst,[status(thm)],[])).
% 1.25/1.27 tff(7395,plain,
% 1.25/1.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15))),
% 1.25/1.27 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 1.25/1.27 tff(7396,plain,
% 1.25/1.27 (until2p29(s16) | (~xuntil2p30(s15))),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7395, 1690, 6913])).
% 1.25/1.27 tff(7397,plain,
% 1.25/1.27 (~xuntil2p30(s15)),
% 1.25/1.27 inference(unit_resolution,[status(thm)],[7396, 7392])).
% 1.25/1.27 tff(7398,plain,
% 1.25/1.27 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7399,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7400,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7399, 7398])).
% 1.25/1.28 tff(7401,plain,
% 1.25/1.28 (xuntil2p30(s15) | (~until2p29(s15))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7400, 6898, 5869])).
% 1.25/1.28 tff(7402,plain,
% 1.25/1.28 (~until2p29(s15)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7401, 7397])).
% 1.25/1.28 tff(7403,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7404,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7405,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7404, 7403])).
% 1.25/1.28 tff(7406,plain,
% 1.25/1.28 (until2p29(s15) | (~xuntil2p30(s14))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7405, 1612, 6913])).
% 1.25/1.28 tff(7407,plain,
% 1.25/1.28 (~xuntil2p30(s14)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7406, 7402])).
% 1.25/1.28 tff(7408,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7409,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7410,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7409, 7408])).
% 1.25/1.28 tff(7411,plain,
% 1.25/1.28 (xuntil2p30(s14) | (~until2p29(s14))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7410, 6898, 5878])).
% 1.25/1.28 tff(7412,plain,
% 1.25/1.28 (~until2p29(s14)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7411, 7407])).
% 1.25/1.28 tff(7413,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7414,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7415,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 1.25/1.28 tff(7416,plain,
% 1.25/1.28 (until2p29(s14) | (~xuntil2p30(s13))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7415, 1513, 6913])).
% 1.25/1.28 tff(7417,plain,
% 1.25/1.28 (~xuntil2p30(s13)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7416, 7412])).
% 1.25/1.28 tff(7418,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7419,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7420,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7419, 7418])).
% 1.25/1.28 tff(7421,plain,
% 1.25/1.28 (xuntil2p30(s13) | (~until2p29(s13))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7420, 6898, 5882])).
% 1.25/1.28 tff(7422,plain,
% 1.25/1.28 (~until2p29(s13)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7421, 7417])).
% 1.25/1.28 tff(7423,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7424,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7425,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7424, 7423])).
% 1.25/1.28 tff(7426,plain,
% 1.25/1.28 (until2p29(s13) | (~xuntil2p30(s12))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7425, 1446, 6913])).
% 1.25/1.28 tff(7427,plain,
% 1.25/1.28 (~xuntil2p30(s12)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7426, 7422])).
% 1.25/1.28 tff(7428,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7429,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7430,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7429, 7428])).
% 1.25/1.28 tff(7431,plain,
% 1.25/1.28 (xuntil2p30(s12) | (~until2p29(s12))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7430, 6898, 6164])).
% 1.25/1.28 tff(7432,plain,
% 1.25/1.28 (~until2p29(s12)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7431, 7427])).
% 1.25/1.28 tff(7433,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7434,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7435,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 1.25/1.28 tff(7436,plain,
% 1.25/1.28 (until2p29(s12) | (~xuntil2p30(s11))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7435, 1357, 6913])).
% 1.25/1.28 tff(7437,plain,
% 1.25/1.28 (~xuntil2p30(s11)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7436, 7432])).
% 1.25/1.28 tff(7438,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7439,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7440,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 1.25/1.28 tff(7441,plain,
% 1.25/1.28 (xuntil2p30(s11) | (~until2p29(s11))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7440, 6898, 5898])).
% 1.25/1.28 tff(7442,plain,
% 1.25/1.28 (~until2p29(s11)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7441, 7437])).
% 1.25/1.28 tff(7443,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7444,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7445,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 1.25/1.28 tff(7446,plain,
% 1.25/1.28 (until2p29(s11) | (~xuntil2p30(s10))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7445, 1282, 6913])).
% 1.25/1.28 tff(7447,plain,
% 1.25/1.28 (~xuntil2p30(s10)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7446, 7442])).
% 1.25/1.28 tff(7448,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7449,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7450,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 1.25/1.28 tff(7451,plain,
% 1.25/1.28 (xuntil2p30(s10) | (~until2p29(s10))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7450, 6898, 5907])).
% 1.25/1.28 tff(7452,plain,
% 1.25/1.28 (~until2p29(s10)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7451, 7447])).
% 1.25/1.28 tff(7453,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7454,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7455,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 1.25/1.28 tff(7456,plain,
% 1.25/1.28 (until2p29(s10) | (~xuntil2p30(s9))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7455, 1218, 6913])).
% 1.25/1.28 tff(7457,plain,
% 1.25/1.28 (~xuntil2p30(s9)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7456, 7452])).
% 1.25/1.28 tff(7458,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7459,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7460,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 1.25/1.28 tff(7461,plain,
% 1.25/1.28 (xuntil2p30(s9) | (~until2p29(s9))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7460, 6898, 5911])).
% 1.25/1.28 tff(7462,plain,
% 1.25/1.28 (~until2p29(s9)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7461, 7457])).
% 1.25/1.28 tff(7463,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7464,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7465,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7464, 7463])).
% 1.25/1.28 tff(7466,plain,
% 1.25/1.28 (until2p29(s9) | (~xuntil2p30(s8))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7465, 1123, 6913])).
% 1.25/1.28 tff(7467,plain,
% 1.25/1.28 (~xuntil2p30(s8)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7466, 7462])).
% 1.25/1.28 tff(7468,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7469,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7470,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7469, 7468])).
% 1.25/1.28 tff(7471,plain,
% 1.25/1.28 (xuntil2p30(s8) | (~until2p29(s8))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7470, 6898, 6110])).
% 1.25/1.28 tff(7472,plain,
% 1.25/1.28 (~until2p29(s8)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7471, 7467])).
% 1.25/1.28 tff(7473,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7474,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7475,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 1.25/1.28 tff(7476,plain,
% 1.25/1.28 (until2p29(s8) | (~xuntil2p30(s7))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7475, 1062, 6913])).
% 1.25/1.28 tff(7477,plain,
% 1.25/1.28 (~xuntil2p30(s7)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7476, 7472])).
% 1.25/1.28 tff(7478,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7479,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7480,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7479, 7478])).
% 1.25/1.28 tff(7481,plain,
% 1.25/1.28 (xuntil2p30(s7) | (~until2p29(s7))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7480, 6898, 5927])).
% 1.25/1.28 tff(7482,plain,
% 1.25/1.28 (~until2p29(s7)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7481, 7477])).
% 1.25/1.28 tff(7483,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7484,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7485,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7484, 7483])).
% 1.25/1.28 tff(7486,plain,
% 1.25/1.28 (until2p29(s7) | (~xuntil2p30(s6))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7485, 984, 6913])).
% 1.25/1.28 tff(7487,plain,
% 1.25/1.28 (~xuntil2p30(s6)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7486, 7482])).
% 1.25/1.28 tff(7488,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7489,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7490,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 1.25/1.28 tff(7491,plain,
% 1.25/1.28 (xuntil2p30(s6) | (~until2p29(s6))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7490, 6898, 5936])).
% 1.25/1.28 tff(7492,plain,
% 1.25/1.28 (~until2p29(s6)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7491, 7487])).
% 1.25/1.28 tff(7493,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7494,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7495,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7494, 7493])).
% 1.25/1.28 tff(7496,plain,
% 1.25/1.28 (until2p29(s6) | (~xuntil2p30(s5))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7495, 845, 6913])).
% 1.25/1.28 tff(7497,plain,
% 1.25/1.28 (~xuntil2p30(s5)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7496, 7492])).
% 1.25/1.28 tff(7498,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7499,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7500,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7499, 7498])).
% 1.25/1.28 tff(7501,plain,
% 1.25/1.28 (xuntil2p30(s5) | (~until2p29(s5))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7500, 6898, 5940])).
% 1.25/1.28 tff(7502,plain,
% 1.25/1.28 (~until2p29(s5)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7501, 7497])).
% 1.25/1.28 tff(7503,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7504,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7505,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 1.25/1.28 tff(7506,plain,
% 1.25/1.28 (until2p29(s5) | (~xuntil2p30(s4))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7505, 727, 6913])).
% 1.25/1.28 tff(7507,plain,
% 1.25/1.28 (~xuntil2p30(s4)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7506, 7502])).
% 1.25/1.28 tff(7508,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7509,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7510,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 1.25/1.28 tff(7511,plain,
% 1.25/1.28 (xuntil2p30(s4) | (~until2p29(s4))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7510, 6898, 6056])).
% 1.25/1.28 tff(7512,plain,
% 1.25/1.28 (~until2p29(s4)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7511, 7507])).
% 1.25/1.28 tff(7513,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7514,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7515,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7514, 7513])).
% 1.25/1.28 tff(7516,plain,
% 1.25/1.28 (until2p29(s4) | (~xuntil2p30(s3))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7515, 580, 6913])).
% 1.25/1.28 tff(7517,plain,
% 1.25/1.28 (~xuntil2p30(s3)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7516, 7512])).
% 1.25/1.28 tff(7518,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7519,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7520,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7519, 7518])).
% 1.25/1.28 tff(7521,plain,
% 1.25/1.28 (xuntil2p30(s3) | (~until2p29(s3))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7520, 6898, 6039])).
% 1.25/1.28 tff(7522,plain,
% 1.25/1.28 (~until2p29(s3)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7521, 7517])).
% 1.25/1.28 tff(7523,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7524,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7525,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7524, 7523])).
% 1.25/1.28 tff(7526,plain,
% 1.25/1.28 (until2p29(s3) | (~xuntil2p30(s2))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7525, 460, 6913])).
% 1.25/1.28 tff(7527,plain,
% 1.25/1.28 (~xuntil2p30(s2)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7526, 7522])).
% 1.25/1.28 tff(7528,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7529,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7530,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 1.25/1.28 tff(7531,plain,
% 1.25/1.28 (xuntil2p30(s2) | (~until2p29(s2))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7530, 6898, 5961])).
% 1.25/1.28 tff(7532,plain,
% 1.25/1.28 (~until2p29(s2)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7531, 7527])).
% 1.25/1.28 tff(7533,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7534,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7535,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 1.25/1.28 tff(7536,plain,
% 1.25/1.28 (until2p29(s2) | (~xuntil2p30(s1))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7535, 256, 6913])).
% 1.25/1.28 tff(7537,plain,
% 1.25/1.28 (~xuntil2p30(s1)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7536, 7532])).
% 1.25/1.28 tff(7538,plain,
% 1.25/1.28 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7539,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7540,plain,
% 1.25/1.28 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 1.25/1.28 tff(7541,plain,
% 1.25/1.28 (xuntil2p30(s1) | (~until2p29(s1))),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7540, 6898, 5970])).
% 1.25/1.28 tff(7542,plain,
% 1.25/1.28 (~until2p29(s1)),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7541, 7537])).
% 1.25/1.28 tff(7543,plain,
% 1.25/1.28 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)))),
% 1.25/1.28 inference(bind,[status(th)],[])).
% 1.25/1.28 tff(7544,plain,
% 1.25/1.28 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(quant_intro,[status(thm)],[7543])).
% 1.25/1.28 tff(7545,plain,
% 1.25/1.28 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7546,plain,
% 1.25/1.28 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p29(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~trans(X, Y)) | (~last(X)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> (((~trans(X, Y)) | (~last(X)) | until2p29(Y)) | (~xuntil28(X))))), rewrite((((~trans(X, Y)) | (~last(X)) | until2p29(Y)) | (~xuntil28(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))))),
% 1.25/1.28 inference(bind,[status(th)],[])).
% 1.25/1.28 tff(7547,plain,
% 1.25/1.28 (![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(quant_intro,[status(thm)],[7546])).
% 1.25/1.28 tff(7548,axiom,(![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty22')).
% 1.25/1.28 tff(7549,plain,
% 1.25/1.28 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 1.25/1.28 tff(7550,plain,
% 1.25/1.28 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7549, 7545])).
% 1.25/1.28 tff(7551,plain,(
% 1.25/1.28 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(skolemize,[status(sab)],[7550])).
% 1.25/1.28 tff(7552,plain,
% 1.25/1.28 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7551, 7544])).
% 1.25/1.28 tff(7553,assumption,(trans(s64, s12)), introduced(assumption)).
% 1.25/1.28 tff(7554,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s12)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7555,plain,
% 1.25/1.28 (((~trans(s64, s12)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s12)) <=> (until2p29(s12) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s12)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7556,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s12)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s12))))),
% 1.25/1.28 inference(monotonicity,[status(thm)],[7555])).
% 1.25/1.28 tff(7557,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s12)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s12)))),
% 1.25/1.28 inference(transitivity,[status(thm)],[7556, 7554])).
% 1.25/1.28 tff(7558,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s12)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s12))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7559,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s12))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7558, 7557])).
% 1.25/1.28 tff(7560,plain,
% 1.25/1.28 ($false),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7559, 6884, 7553, 7552, 7432, 6874])).
% 1.25/1.28 tff(7561,plain,(~trans(s64, s12)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.28 tff(7562,assumption,(trans(s64, s29)), introduced(assumption)).
% 1.25/1.28 tff(7563,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s29)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7564,plain,
% 1.25/1.28 (((~trans(s64, s29)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s29)) <=> (until2p29(s29) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s29)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7565,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s29)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s29))))),
% 1.25/1.28 inference(monotonicity,[status(thm)],[7564])).
% 1.25/1.28 tff(7566,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s29)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s29)))),
% 1.25/1.28 inference(transitivity,[status(thm)],[7565, 7563])).
% 1.25/1.28 tff(7567,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s29)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s29))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7568,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s29))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7567, 7566])).
% 1.25/1.28 tff(7569,plain,
% 1.25/1.28 ($false),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7568, 6884, 7562, 7552, 7262, 6874])).
% 1.25/1.28 tff(7570,plain,(~trans(s64, s29)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.28 tff(7571,assumption,(trans(s64, s47)), introduced(assumption)).
% 1.25/1.28 tff(7572,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s47)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7573,plain,
% 1.25/1.28 (((~trans(s64, s47)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s47)) <=> (until2p29(s47) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s47)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7574,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s47)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s47))))),
% 1.25/1.28 inference(monotonicity,[status(thm)],[7573])).
% 1.25/1.28 tff(7575,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s47)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s47)))),
% 1.25/1.28 inference(transitivity,[status(thm)],[7574, 7572])).
% 1.25/1.28 tff(7576,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s47)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s47))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7577,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s47))),
% 1.25/1.28 inference(modus_ponens,[status(thm)],[7576, 7575])).
% 1.25/1.28 tff(7578,plain,
% 1.25/1.28 ($false),
% 1.25/1.28 inference(unit_resolution,[status(thm)],[7577, 6884, 7571, 7552, 7082, 6874])).
% 1.25/1.28 tff(7579,plain,(~trans(s64, s47)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.28 tff(7580,assumption,(trans(s64, s60)), introduced(assumption)).
% 1.25/1.28 tff(7581,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s60)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7582,plain,
% 1.25/1.28 (((~trans(s64, s60)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s60)) <=> (until2p29(s60) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s60)))),
% 1.25/1.28 inference(rewrite,[status(thm)],[])).
% 1.25/1.28 tff(7583,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s60)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s60))))),
% 1.25/1.28 inference(monotonicity,[status(thm)],[7582])).
% 1.25/1.28 tff(7584,plain,
% 1.25/1.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s60)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s60)))),
% 1.25/1.28 inference(transitivity,[status(thm)],[7583, 7581])).
% 1.25/1.28 tff(7585,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s60)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s60))),
% 1.25/1.28 inference(quant_inst,[status(thm)],[])).
% 1.25/1.28 tff(7586,plain,
% 1.25/1.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s60))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 1.25/1.29 tff(7587,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7586, 6884, 7580, 7552, 6952, 6874])).
% 1.25/1.29 tff(7588,plain,(~trans(s64, s60)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7589,assumption,(trans(s64, s20)), introduced(assumption)).
% 1.25/1.29 tff(7590,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s20)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7591,plain,
% 1.25/1.29 (((~trans(s64, s20)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s20)) <=> (until2p29(s20) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s20)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7592,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s20)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s20))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7591])).
% 1.25/1.29 tff(7593,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s20)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s20)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7592, 7590])).
% 1.25/1.29 tff(7594,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s20)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s20))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7595,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s20))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7594, 7593])).
% 1.25/1.29 tff(7596,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7595, 6884, 7589, 7552, 7352, 6874])).
% 1.25/1.29 tff(7597,plain,(~trans(s64, s20)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7598,assumption,(trans(s64, s32)), introduced(assumption)).
% 1.25/1.29 tff(7599,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s32)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7600,plain,
% 1.25/1.29 (((~trans(s64, s32)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s32)) <=> (until2p29(s32) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s32)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7601,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s32)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s32))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7600])).
% 1.25/1.29 tff(7602,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s32)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s32)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7601, 7599])).
% 1.25/1.29 tff(7603,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s32)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s32))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7604,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s32))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7603, 7602])).
% 1.25/1.29 tff(7605,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7604, 6884, 7598, 7552, 7232, 6874])).
% 1.25/1.29 tff(7606,plain,(~trans(s64, s32)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7607,assumption,(trans(s64, s5)), introduced(assumption)).
% 1.25/1.29 tff(7608,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s5)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7609,plain,
% 1.25/1.29 (((~trans(s64, s5)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s5)) <=> (until2p29(s5) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s5)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7610,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s5)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s5))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7609])).
% 1.25/1.29 tff(7611,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s5)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s5)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7610, 7608])).
% 1.25/1.29 tff(7612,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s5)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s5))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7613,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s5))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7612, 7611])).
% 1.25/1.29 tff(7614,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7613, 6884, 7607, 7552, 7502, 6874])).
% 1.25/1.29 tff(7615,plain,(~trans(s64, s5)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7616,assumption,(trans(s64, s54)), introduced(assumption)).
% 1.25/1.29 tff(7617,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s54)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7618,plain,
% 1.25/1.29 (((~trans(s64, s54)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s54)) <=> (until2p29(s54) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s54)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7619,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s54)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s54))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7618])).
% 1.25/1.29 tff(7620,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s54)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s54)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7619, 7617])).
% 1.25/1.29 tff(7621,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s54)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s54))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7622,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s54))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7621, 7620])).
% 1.25/1.29 tff(7623,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7622, 6884, 7616, 7552, 7012, 6874])).
% 1.25/1.29 tff(7624,plain,(~trans(s64, s54)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7625,assumption,(trans(s64, s18)), introduced(assumption)).
% 1.25/1.29 tff(7626,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s18)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7627,plain,
% 1.25/1.29 (((~trans(s64, s18)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s18)) <=> (until2p29(s18) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s18)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7628,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s18)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s18))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7627])).
% 1.25/1.29 tff(7629,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s18)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s18)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7628, 7626])).
% 1.25/1.29 tff(7630,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s18)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s18))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7631,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s18))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7630, 7629])).
% 1.25/1.29 tff(7632,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7631, 6884, 7625, 7552, 7372, 6874])).
% 1.25/1.29 tff(7633,plain,(~trans(s64, s18)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7634,assumption,(trans(s64, s36)), introduced(assumption)).
% 1.25/1.29 tff(7635,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s36)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7636,plain,
% 1.25/1.29 (((~trans(s64, s36)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s36)) <=> (until2p29(s36) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s36)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7637,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s36)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s36))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7636])).
% 1.25/1.29 tff(7638,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s36)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s36)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7637, 7635])).
% 1.25/1.29 tff(7639,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s36)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s36))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7640,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s36))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 1.25/1.29 tff(7641,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7640, 6884, 7634, 7552, 7192, 6874])).
% 1.25/1.29 tff(7642,plain,(~trans(s64, s36)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7643,assumption,(trans(s64, s39)), introduced(assumption)).
% 1.25/1.29 tff(7644,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s39)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7645,plain,
% 1.25/1.29 (((~trans(s64, s39)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s39)) <=> (until2p29(s39) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s39)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7646,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s39)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s39))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7645])).
% 1.25/1.29 tff(7647,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s39)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s39)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7646, 7644])).
% 1.25/1.29 tff(7648,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s39)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s39))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7649,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s39))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 1.25/1.29 tff(7650,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7649, 6884, 7643, 7552, 7162, 6874])).
% 1.25/1.29 tff(7651,plain,(~trans(s64, s39)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7652,assumption,(trans(s64, s2)), introduced(assumption)).
% 1.25/1.29 tff(7653,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s2)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7654,plain,
% 1.25/1.29 (((~trans(s64, s2)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s2)) <=> (until2p29(s2) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s2)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7655,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s2)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s2))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7654])).
% 1.25/1.29 tff(7656,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s2)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s2)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7655, 7653])).
% 1.25/1.29 tff(7657,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s2)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s2))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7658,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s2))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7657, 7656])).
% 1.25/1.29 tff(7659,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7658, 6884, 7652, 7552, 7532, 6874])).
% 1.25/1.29 tff(7660,plain,(~trans(s64, s2)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7661,assumption,(trans(s64, s9)), introduced(assumption)).
% 1.25/1.29 tff(7662,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s9)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7663,plain,
% 1.25/1.29 (((~trans(s64, s9)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s9)) <=> (until2p29(s9) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s9)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7664,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s9)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s9))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7663])).
% 1.25/1.29 tff(7665,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s9)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s9)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7664, 7662])).
% 1.25/1.29 tff(7666,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s9)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s9))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7667,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s9))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 1.25/1.29 tff(7668,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7667, 6884, 7661, 7552, 7462, 6874])).
% 1.25/1.29 tff(7669,plain,(~trans(s64, s9)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7670,assumption,(trans(s64, s21)), introduced(assumption)).
% 1.25/1.29 tff(7671,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s21)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7672,plain,
% 1.25/1.29 (((~trans(s64, s21)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s21)) <=> (until2p29(s21) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s21)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7673,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s21)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s21))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7672])).
% 1.25/1.29 tff(7674,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s21)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s21)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7673, 7671])).
% 1.25/1.29 tff(7675,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s21)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s21))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7676,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s21))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 1.25/1.29 tff(7677,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7676, 6884, 7670, 7552, 7342, 6874])).
% 1.25/1.29 tff(7678,plain,(~trans(s64, s21)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7679,assumption,(trans(s64, s23)), introduced(assumption)).
% 1.25/1.29 tff(7680,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s23)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7681,plain,
% 1.25/1.29 (((~trans(s64, s23)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s23)) <=> (until2p29(s23) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s23)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7682,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s23)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s23))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7681])).
% 1.25/1.29 tff(7683,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s23)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s23)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7682, 7680])).
% 1.25/1.29 tff(7684,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s23)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s23))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7685,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s23))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 1.25/1.29 tff(7686,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7685, 6884, 7679, 7552, 7322, 6874])).
% 1.25/1.29 tff(7687,plain,(~trans(s64, s23)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7688,assumption,(trans(s64, s44)), introduced(assumption)).
% 1.25/1.29 tff(7689,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s44)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7690,plain,
% 1.25/1.29 (((~trans(s64, s44)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s44)) <=> (until2p29(s44) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s44)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7691,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s44)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s44))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7690])).
% 1.25/1.29 tff(7692,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s44)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s44)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7691, 7689])).
% 1.25/1.29 tff(7693,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s44)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s44))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7694,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s44))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 1.25/1.29 tff(7695,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7694, 6884, 7688, 7552, 7112, 6874])).
% 1.25/1.29 tff(7696,plain,(~trans(s64, s44)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7697,assumption,(trans(s64, s51)), introduced(assumption)).
% 1.25/1.29 tff(7698,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s51)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7699,plain,
% 1.25/1.29 (((~trans(s64, s51)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s51)) <=> (until2p29(s51) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s51)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7700,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s51)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s51))))),
% 1.25/1.29 inference(monotonicity,[status(thm)],[7699])).
% 1.25/1.29 tff(7701,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s51)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s51)))),
% 1.25/1.29 inference(transitivity,[status(thm)],[7700, 7698])).
% 1.25/1.29 tff(7702,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s51)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s51))),
% 1.25/1.29 inference(quant_inst,[status(thm)],[])).
% 1.25/1.29 tff(7703,plain,
% 1.25/1.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s51))),
% 1.25/1.29 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 1.25/1.29 tff(7704,plain,
% 1.25/1.29 ($false),
% 1.25/1.29 inference(unit_resolution,[status(thm)],[7703, 6884, 7697, 7552, 7042, 6874])).
% 1.25/1.29 tff(7705,plain,(~trans(s64, s51)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.29 tff(7706,assumption,(trans(s64, s62)), introduced(assumption)).
% 1.25/1.29 tff(7707,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s62)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7708,plain,
% 1.25/1.29 (((~trans(s64, s62)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s62)) <=> (until2p29(s62) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s62)))),
% 1.25/1.29 inference(rewrite,[status(thm)],[])).
% 1.25/1.29 tff(7709,plain,
% 1.25/1.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s62)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s62))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7708])).
% 1.25/1.30 tff(7710,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s62)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s62)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7709, 7707])).
% 1.25/1.30 tff(7711,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s62)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s62))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7712,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s62))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 1.25/1.30 tff(7713,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7712, 6884, 7706, 7552, 6932, 6874])).
% 1.25/1.30 tff(7714,plain,(~trans(s64, s62)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7715,assumption,(trans(s64, s3)), introduced(assumption)).
% 1.25/1.30 tff(7716,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s3)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7717,plain,
% 1.25/1.30 (((~trans(s64, s3)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s3)) <=> (until2p29(s3) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s3)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7718,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s3)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s3))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7717])).
% 1.25/1.30 tff(7719,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s3)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s3)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7718, 7716])).
% 1.25/1.30 tff(7720,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s3)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s3))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7721,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s3))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 1.25/1.30 tff(7722,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7721, 6884, 7715, 7552, 7522, 6874])).
% 1.25/1.30 tff(7723,plain,(~trans(s64, s3)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7724,assumption,(trans(s64, s11)), introduced(assumption)).
% 1.25/1.30 tff(7725,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s11)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7726,plain,
% 1.25/1.30 (((~trans(s64, s11)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s11)) <=> (until2p29(s11) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s11)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7727,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s11)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s11))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7726])).
% 1.25/1.30 tff(7728,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s11)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s11)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7727, 7725])).
% 1.25/1.30 tff(7729,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s11)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s11))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7730,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s11))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7729, 7728])).
% 1.25/1.30 tff(7731,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7730, 6884, 7724, 7552, 7442, 6874])).
% 1.25/1.30 tff(7732,plain,(~trans(s64, s11)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7733,assumption,(trans(s64, s14)), introduced(assumption)).
% 1.25/1.30 tff(7734,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s14)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7735,plain,
% 1.25/1.30 (((~trans(s64, s14)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s14)) <=> (until2p29(s14) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s14)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7736,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s14)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s14))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7735])).
% 1.25/1.30 tff(7737,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s14)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s14)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7736, 7734])).
% 1.25/1.30 tff(7738,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s14)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s14))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7739,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s14))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7738, 7737])).
% 1.25/1.30 tff(7740,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7739, 6884, 7733, 7552, 7412, 6874])).
% 1.25/1.30 tff(7741,plain,(~trans(s64, s14)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7742,assumption,(trans(s64, s27)), introduced(assumption)).
% 1.25/1.30 tff(7743,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s27)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7744,plain,
% 1.25/1.30 (((~trans(s64, s27)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s27)) <=> (until2p29(s27) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s27)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7745,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s27)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s27))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7744])).
% 1.25/1.30 tff(7746,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s27)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s27)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7745, 7743])).
% 1.25/1.30 tff(7747,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s27)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s27))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7748,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s27))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 1.25/1.30 tff(7749,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7748, 6884, 7742, 7552, 7282, 6874])).
% 1.25/1.30 tff(7750,plain,(~trans(s64, s27)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7751,assumption,(trans(s64, s30)), introduced(assumption)).
% 1.25/1.30 tff(7752,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s30)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7753,plain,
% 1.25/1.30 (((~trans(s64, s30)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s30)) <=> (until2p29(s30) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s30)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7754,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s30)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s30))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7753])).
% 1.25/1.30 tff(7755,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s30)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s30)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7754, 7752])).
% 1.25/1.30 tff(7756,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s30)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s30))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7757,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s30))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 1.25/1.30 tff(7758,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7757, 6884, 7751, 7552, 7252, 6874])).
% 1.25/1.30 tff(7759,plain,(~trans(s64, s30)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7760,assumption,(trans(s64, s38)), introduced(assumption)).
% 1.25/1.30 tff(7761,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s38)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7762,plain,
% 1.25/1.30 (((~trans(s64, s38)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s38)) <=> (until2p29(s38) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s38)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7763,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s38)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s38))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7762])).
% 1.25/1.30 tff(7764,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s38)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s38)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7763, 7761])).
% 1.25/1.30 tff(7765,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s38)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s38))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7766,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s38))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7765, 7764])).
% 1.25/1.30 tff(7767,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7766, 6884, 7760, 7552, 7172, 6874])).
% 1.25/1.30 tff(7768,plain,(~trans(s64, s38)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7769,assumption,(trans(s64, s41)), introduced(assumption)).
% 1.25/1.30 tff(7770,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s41)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7771,plain,
% 1.25/1.30 (((~trans(s64, s41)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s41)) <=> (until2p29(s41) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s41)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7772,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s41)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s41))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7771])).
% 1.25/1.30 tff(7773,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s41)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s41)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7772, 7770])).
% 1.25/1.30 tff(7774,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s41)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s41))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7775,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s41))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7774, 7773])).
% 1.25/1.30 tff(7776,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7775, 6884, 7769, 7552, 7142, 6874])).
% 1.25/1.30 tff(7777,plain,(~trans(s64, s41)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7778,assumption,(trans(s64, s53)), introduced(assumption)).
% 1.25/1.30 tff(7779,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s53)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7780,plain,
% 1.25/1.30 (((~trans(s64, s53)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s53)) <=> (until2p29(s53) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s53)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7781,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s53)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s53))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7780])).
% 1.25/1.30 tff(7782,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s53)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s53)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7781, 7779])).
% 1.25/1.30 tff(7783,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s53)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s53))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7784,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s53))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7783, 7782])).
% 1.25/1.30 tff(7785,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7784, 6884, 7778, 7552, 7022, 6874])).
% 1.25/1.30 tff(7786,plain,(~trans(s64, s53)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7787,assumption,(trans(s64, s56)), introduced(assumption)).
% 1.25/1.30 tff(7788,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s56)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7789,plain,
% 1.25/1.30 (((~trans(s64, s56)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s56)) <=> (until2p29(s56) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s56)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7790,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s56)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s56))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7789])).
% 1.25/1.30 tff(7791,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s56)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s56)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7790, 7788])).
% 1.25/1.30 tff(7792,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s56)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s56))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7793,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s56))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 1.25/1.30 tff(7794,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7793, 6884, 7787, 7552, 6992, 6874])).
% 1.25/1.30 tff(7795,plain,(~trans(s64, s56)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7796,assumption,(trans(s64, s63)), introduced(assumption)).
% 1.25/1.30 tff(7797,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s63)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7798,plain,
% 1.25/1.30 (((~trans(s64, s63)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s63)) <=> (until2p29(s63) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s63)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7799,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s63)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s63))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7798])).
% 1.25/1.30 tff(7800,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s63)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s63)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7799, 7797])).
% 1.25/1.30 tff(7801,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s63)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s63))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7802,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s63))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7801, 7800])).
% 1.25/1.30 tff(7803,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7802, 6884, 7796, 7552, 6922, 6874])).
% 1.25/1.30 tff(7804,plain,(~trans(s64, s63)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7805,assumption,(trans(s64, s6)), introduced(assumption)).
% 1.25/1.30 tff(7806,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s6)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7807,plain,
% 1.25/1.30 (((~trans(s64, s6)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s6)) <=> (until2p29(s6) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s6)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7808,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s6)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s6))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7807])).
% 1.25/1.30 tff(7809,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s6)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s6)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7808, 7806])).
% 1.25/1.30 tff(7810,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s6)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s6))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7811,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s6))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7810, 7809])).
% 1.25/1.30 tff(7812,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7811, 6884, 7805, 7552, 7492, 6874])).
% 1.25/1.30 tff(7813,plain,(~trans(s64, s6)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7814,assumption,(trans(s64, s8)), introduced(assumption)).
% 1.25/1.30 tff(7815,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s8)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7816,plain,
% 1.25/1.30 (((~trans(s64, s8)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s8)) <=> (until2p29(s8) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s8)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7817,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s8)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s8))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7816])).
% 1.25/1.30 tff(7818,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s8)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s8)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7817, 7815])).
% 1.25/1.30 tff(7819,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s8)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s8))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7820,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s8))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7819, 7818])).
% 1.25/1.30 tff(7821,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7820, 6884, 7814, 7552, 7472, 6874])).
% 1.25/1.30 tff(7822,plain,(~trans(s64, s8)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7823,assumption,(trans(s64, s15)), introduced(assumption)).
% 1.25/1.30 tff(7824,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s15)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7825,plain,
% 1.25/1.30 (((~trans(s64, s15)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s15)) <=> (until2p29(s15) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s15)))),
% 1.25/1.30 inference(rewrite,[status(thm)],[])).
% 1.25/1.30 tff(7826,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s15)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s15))))),
% 1.25/1.30 inference(monotonicity,[status(thm)],[7825])).
% 1.25/1.30 tff(7827,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s15)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s15)))),
% 1.25/1.30 inference(transitivity,[status(thm)],[7826, 7824])).
% 1.25/1.30 tff(7828,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s15)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s15))),
% 1.25/1.30 inference(quant_inst,[status(thm)],[])).
% 1.25/1.30 tff(7829,plain,
% 1.25/1.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s15))),
% 1.25/1.30 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 1.25/1.30 tff(7830,plain,
% 1.25/1.30 ($false),
% 1.25/1.30 inference(unit_resolution,[status(thm)],[7829, 6884, 7823, 7552, 7402, 6874])).
% 1.25/1.30 tff(7831,plain,(~trans(s64, s15)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.30 tff(7832,assumption,(trans(s64, s17)), introduced(assumption)).
% 1.25/1.30 tff(7833,plain,
% 1.25/1.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s17)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7834,plain,
% 1.25/1.31 (((~trans(s64, s17)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s17)) <=> (until2p29(s17) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s17)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7835,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s17)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s17))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7834])).
% 1.25/1.31 tff(7836,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s17)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s17)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7835, 7833])).
% 1.25/1.31 tff(7837,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s17)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s17))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7838,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s17))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7837, 7836])).
% 1.25/1.31 tff(7839,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7838, 6884, 7832, 7552, 7382, 6874])).
% 1.25/1.31 tff(7840,plain,(~trans(s64, s17)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7841,assumption,(trans(s64, s24)), introduced(assumption)).
% 1.25/1.31 tff(7842,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s24)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7843,plain,
% 1.25/1.31 (((~trans(s64, s24)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s24)) <=> (until2p29(s24) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s24)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7844,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s24)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s24))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7843])).
% 1.25/1.31 tff(7845,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s24)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s24)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7844, 7842])).
% 1.25/1.31 tff(7846,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s24)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s24))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7847,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s24))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7846, 7845])).
% 1.25/1.31 tff(7848,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7847, 6884, 7841, 7552, 7312, 6874])).
% 1.25/1.31 tff(7849,plain,(~trans(s64, s24)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7850,assumption,(trans(s64, s26)), introduced(assumption)).
% 1.25/1.31 tff(7851,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s26)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7852,plain,
% 1.25/1.31 (((~trans(s64, s26)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s26)) <=> (until2p29(s26) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s26)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7853,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s26)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s26))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7852])).
% 1.25/1.31 tff(7854,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s26)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s26)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7853, 7851])).
% 1.25/1.31 tff(7855,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s26)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s26))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7856,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s26))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 1.25/1.31 tff(7857,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7856, 6884, 7850, 7552, 7292, 6874])).
% 1.25/1.31 tff(7858,plain,(~trans(s64, s26)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7859,assumption,(trans(s64, s33)), introduced(assumption)).
% 1.25/1.31 tff(7860,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s33)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7861,plain,
% 1.25/1.31 (((~trans(s64, s33)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s33)) <=> (until2p29(s33) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s33)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7862,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s33)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s33))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7861])).
% 1.25/1.31 tff(7863,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s33)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s33)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7862, 7860])).
% 1.25/1.31 tff(7864,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s33)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s33))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7865,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s33))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7864, 7863])).
% 1.25/1.31 tff(7866,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7865, 6884, 7859, 7552, 7222, 6874])).
% 1.25/1.31 tff(7867,plain,(~trans(s64, s33)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7868,assumption,(trans(s64, s35)), introduced(assumption)).
% 1.25/1.31 tff(7869,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s35)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7870,plain,
% 1.25/1.31 (((~trans(s64, s35)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s35)) <=> (until2p29(s35) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s35)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7871,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s35)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s35))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7870])).
% 1.25/1.31 tff(7872,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s35)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s35)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7871, 7869])).
% 1.25/1.31 tff(7873,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s35)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s35))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7874,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s35))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 1.25/1.31 tff(7875,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7874, 6884, 7868, 7552, 7202, 6874])).
% 1.25/1.31 tff(7876,plain,(~trans(s64, s35)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7877,assumption,(trans(s64, s42)), introduced(assumption)).
% 1.25/1.31 tff(7878,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s42)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7879,plain,
% 1.25/1.31 (((~trans(s64, s42)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s42)) <=> (until2p29(s42) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s42)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7880,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s42)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s42))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7879])).
% 1.25/1.31 tff(7881,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s42)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s42)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7880, 7878])).
% 1.25/1.31 tff(7882,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s42)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s42))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7883,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s42))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 1.25/1.31 tff(7884,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7883, 6884, 7877, 7552, 7132, 6874])).
% 1.25/1.31 tff(7885,plain,(~trans(s64, s42)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7886,assumption,(trans(s64, s48)), introduced(assumption)).
% 1.25/1.31 tff(7887,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s48)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7888,plain,
% 1.25/1.31 (((~trans(s64, s48)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s48)) <=> (until2p29(s48) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s48)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7889,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s48)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s48))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7888])).
% 1.25/1.31 tff(7890,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s48)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s48)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7889, 7887])).
% 1.25/1.31 tff(7891,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s48)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s48))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7892,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s48))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 1.25/1.31 tff(7893,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7892, 6884, 7886, 7552, 7072, 6874])).
% 1.25/1.31 tff(7894,plain,(~trans(s64, s48)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7895,assumption,(trans(s64, s50)), introduced(assumption)).
% 1.25/1.31 tff(7896,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s50)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7897,plain,
% 1.25/1.31 (((~trans(s64, s50)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s50)) <=> (until2p29(s50) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s50)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7898,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s50)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s50))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7897])).
% 1.25/1.31 tff(7899,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s50)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s50)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7898, 7896])).
% 1.25/1.31 tff(7900,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s50)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s50))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7901,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s50))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 1.25/1.31 tff(7902,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7901, 6884, 7895, 7552, 7052, 6874])).
% 1.25/1.31 tff(7903,plain,(~trans(s64, s50)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7904,assumption,(trans(s64, s57)), introduced(assumption)).
% 1.25/1.31 tff(7905,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s57)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7906,plain,
% 1.25/1.31 (((~trans(s64, s57)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s57)) <=> (until2p29(s57) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s57)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7907,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s57)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s57))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7906])).
% 1.25/1.31 tff(7908,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s57)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s57)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7907, 7905])).
% 1.25/1.31 tff(7909,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s57)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s57))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7910,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s57))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 1.25/1.31 tff(7911,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7910, 6884, 7904, 7552, 6982, 6874])).
% 1.25/1.31 tff(7912,plain,(~trans(s64, s57)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7913,assumption,(trans(s64, s59)), introduced(assumption)).
% 1.25/1.31 tff(7914,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s59)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7915,plain,
% 1.25/1.31 (((~trans(s64, s59)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s59)) <=> (until2p29(s59) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s59)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7916,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s59)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s59))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7915])).
% 1.25/1.31 tff(7917,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s59)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s59)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7916, 7914])).
% 1.25/1.31 tff(7918,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s59)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s59))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7919,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s59))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 1.25/1.31 tff(7920,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7919, 6884, 7913, 7552, 6962, 6874])).
% 1.25/1.31 tff(7921,plain,(~trans(s64, s59)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7922,assumption,(trans(s64, s45)), introduced(assumption)).
% 1.25/1.31 tff(7923,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s45)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7924,plain,
% 1.25/1.31 (((~trans(s64, s45)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s45)) <=> (until2p29(s45) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s45)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7925,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s45)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s45))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7924])).
% 1.25/1.31 tff(7926,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s45)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s45)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7925, 7923])).
% 1.25/1.31 tff(7927,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s45)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s45))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7928,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s45))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 1.25/1.31 tff(7929,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7928, 6884, 7922, 7552, 7102, 6874])).
% 1.25/1.31 tff(7930,plain,(~trans(s64, s45)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7931,assumption,(trans(s64, s4)), introduced(assumption)).
% 1.25/1.31 tff(7932,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s4)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7933,plain,
% 1.25/1.31 (((~trans(s64, s4)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s4)) <=> (until2p29(s4) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s4)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7934,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s4)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s4))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7933])).
% 1.25/1.31 tff(7935,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s4)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s4)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7934, 7932])).
% 1.25/1.31 tff(7936,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s4)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s4))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7937,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s4))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 1.25/1.31 tff(7938,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7937, 6884, 7931, 7552, 7512, 6874])).
% 1.25/1.31 tff(7939,plain,(~trans(s64, s4)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7940,assumption,(trans(s64, s7)), introduced(assumption)).
% 1.25/1.31 tff(7941,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s7)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7942,plain,
% 1.25/1.31 (((~trans(s64, s7)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s7)) <=> (until2p29(s7) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s7)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7943,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s7)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s7))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7942])).
% 1.25/1.31 tff(7944,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s7)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s7)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7943, 7941])).
% 1.25/1.31 tff(7945,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s7)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s7))),
% 1.25/1.31 inference(quant_inst,[status(thm)],[])).
% 1.25/1.31 tff(7946,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s7))),
% 1.25/1.31 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 1.25/1.31 tff(7947,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(unit_resolution,[status(thm)],[7946, 6884, 7940, 7552, 7482, 6874])).
% 1.25/1.31 tff(7948,plain,(~trans(s64, s7)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.31 tff(7949,assumption,(trans(s64, s10)), introduced(assumption)).
% 1.25/1.31 tff(7950,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s10)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7951,plain,
% 1.25/1.31 (((~trans(s64, s10)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s10)) <=> (until2p29(s10) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s10)))),
% 1.25/1.31 inference(rewrite,[status(thm)],[])).
% 1.25/1.31 tff(7952,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s10)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s10))))),
% 1.25/1.31 inference(monotonicity,[status(thm)],[7951])).
% 1.25/1.31 tff(7953,plain,
% 1.25/1.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s10)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s10)))),
% 1.25/1.31 inference(transitivity,[status(thm)],[7952, 7950])).
% 1.25/1.31 tff(7954,plain,
% 1.25/1.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s10)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s10))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(7955,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s10))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 1.25/1.32 tff(7956,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[7955, 6884, 7949, 7552, 7452, 6874])).
% 1.25/1.32 tff(7957,plain,(~trans(s64, s10)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(7958,assumption,(trans(s64, s13)), introduced(assumption)).
% 1.25/1.32 tff(7959,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s13)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7960,plain,
% 1.25/1.32 (((~trans(s64, s13)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s13)) <=> (until2p29(s13) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s13)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7961,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s13)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s13))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[7960])).
% 1.25/1.32 tff(7962,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s13)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s13)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[7961, 7959])).
% 1.25/1.32 tff(7963,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s13)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s13))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(7964,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s13))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[7963, 7962])).
% 1.25/1.32 tff(7965,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[7964, 6884, 7958, 7552, 7422, 6874])).
% 1.25/1.32 tff(7966,plain,(~trans(s64, s13)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(7967,assumption,(trans(s64, s16)), introduced(assumption)).
% 1.25/1.32 tff(7968,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s16)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7969,plain,
% 1.25/1.32 (((~trans(s64, s16)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s16)) <=> (until2p29(s16) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s16)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7970,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s16)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s16))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[7969])).
% 1.25/1.32 tff(7971,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s16)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s16)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[7970, 7968])).
% 1.25/1.32 tff(7972,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s16)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s16))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(7973,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s16))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 1.25/1.32 tff(7974,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[7973, 6884, 7967, 7552, 7392, 6874])).
% 1.25/1.32 tff(7975,plain,(~trans(s64, s16)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(7976,assumption,(trans(s64, s19)), introduced(assumption)).
% 1.25/1.32 tff(7977,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s19)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7978,plain,
% 1.25/1.32 (((~trans(s64, s19)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s19)) <=> (until2p29(s19) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s19)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7979,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s19)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s19))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[7978])).
% 1.25/1.32 tff(7980,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s19)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s19)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[7979, 7977])).
% 1.25/1.32 tff(7981,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s19)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s19))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(7982,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s19))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 1.25/1.32 tff(7983,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[7982, 6884, 7976, 7552, 7362, 6874])).
% 1.25/1.32 tff(7984,plain,(~trans(s64, s19)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(7985,assumption,(trans(s64, s22)), introduced(assumption)).
% 1.25/1.32 tff(7986,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s22)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7987,plain,
% 1.25/1.32 (((~trans(s64, s22)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s22)) <=> (until2p29(s22) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s22)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7988,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s22)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s22))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[7987])).
% 1.25/1.32 tff(7989,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s22)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s22)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[7988, 7986])).
% 1.25/1.32 tff(7990,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s22)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s22))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(7991,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s22))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 1.25/1.32 tff(7992,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[7991, 6884, 7985, 7552, 7332, 6874])).
% 1.25/1.32 tff(7993,plain,(~trans(s64, s22)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(7994,assumption,(trans(s64, s25)), introduced(assumption)).
% 1.25/1.32 tff(7995,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s25)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7996,plain,
% 1.25/1.32 (((~trans(s64, s25)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s25)) <=> (until2p29(s25) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s25)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(7997,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s25)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s25))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[7996])).
% 1.25/1.32 tff(7998,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s25)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s25)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[7997, 7995])).
% 1.25/1.32 tff(7999,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s25)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s25))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(8000,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s25))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[7999, 7998])).
% 1.25/1.32 tff(8001,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[8000, 6884, 7994, 7552, 7302, 6874])).
% 1.25/1.32 tff(8002,plain,(~trans(s64, s25)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(8003,assumption,(trans(s64, s28)), introduced(assumption)).
% 1.25/1.32 tff(8004,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s28)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8005,plain,
% 1.25/1.32 (((~trans(s64, s28)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s28)) <=> (until2p29(s28) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s28)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8006,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s28)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s28))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[8005])).
% 1.25/1.32 tff(8007,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s28)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s28)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[8006, 8004])).
% 1.25/1.32 tff(8008,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s28)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s28))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(8009,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s28))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[8008, 8007])).
% 1.25/1.32 tff(8010,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[8009, 6884, 8003, 7552, 7272, 6874])).
% 1.25/1.32 tff(8011,plain,(~trans(s64, s28)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(8012,assumption,(trans(s64, s31)), introduced(assumption)).
% 1.25/1.32 tff(8013,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s31)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8014,plain,
% 1.25/1.32 (((~trans(s64, s31)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s31)) <=> (until2p29(s31) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s31)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8015,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s31)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s31))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[8014])).
% 1.25/1.32 tff(8016,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s31)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s31)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[8015, 8013])).
% 1.25/1.32 tff(8017,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s31)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s31))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(8018,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s31))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[8017, 8016])).
% 1.25/1.32 tff(8019,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[8018, 6884, 8012, 7552, 7242, 6874])).
% 1.25/1.32 tff(8020,plain,(~trans(s64, s31)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(8021,assumption,(trans(s64, s34)), introduced(assumption)).
% 1.25/1.32 tff(8022,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s34)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8023,plain,
% 1.25/1.32 (((~trans(s64, s34)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s34)) <=> (until2p29(s34) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s34)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8024,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s34)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s34))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[8023])).
% 1.25/1.32 tff(8025,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s34)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s34)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[8024, 8022])).
% 1.25/1.32 tff(8026,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s34)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s34))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(8027,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s34))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 1.25/1.32 tff(8028,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[8027, 6884, 8021, 7552, 7212, 6874])).
% 1.25/1.32 tff(8029,plain,(~trans(s64, s34)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(8030,assumption,(trans(s64, s37)), introduced(assumption)).
% 1.25/1.32 tff(8031,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s37)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8032,plain,
% 1.25/1.32 (((~trans(s64, s37)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s37)) <=> (until2p29(s37) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s37)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8033,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s37)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s37))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[8032])).
% 1.25/1.32 tff(8034,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s37)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s37)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[8033, 8031])).
% 1.25/1.32 tff(8035,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s37)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s37))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(8036,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s37))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 1.25/1.32 tff(8037,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[8036, 6884, 8030, 7552, 7182, 6874])).
% 1.25/1.32 tff(8038,plain,(~trans(s64, s37)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.32 tff(8039,assumption,(trans(s64, s40)), introduced(assumption)).
% 1.25/1.32 tff(8040,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s40)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8041,plain,
% 1.25/1.32 (((~trans(s64, s40)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s40)) <=> (until2p29(s40) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s40)))),
% 1.25/1.32 inference(rewrite,[status(thm)],[])).
% 1.25/1.32 tff(8042,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s40)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s40))))),
% 1.25/1.32 inference(monotonicity,[status(thm)],[8041])).
% 1.25/1.32 tff(8043,plain,
% 1.25/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s40)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s40)))),
% 1.25/1.32 inference(transitivity,[status(thm)],[8042, 8040])).
% 1.25/1.32 tff(8044,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s40)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s40))),
% 1.25/1.32 inference(quant_inst,[status(thm)],[])).
% 1.25/1.32 tff(8045,plain,
% 1.25/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s40))),
% 1.25/1.32 inference(modus_ponens,[status(thm)],[8044, 8043])).
% 1.25/1.32 tff(8046,plain,
% 1.25/1.32 ($false),
% 1.25/1.32 inference(unit_resolution,[status(thm)],[8045, 6884, 8039, 7552, 7152, 6874])).
% 1.35/1.32 tff(8047,plain,(~trans(s64, s40)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.32 tff(8048,assumption,(trans(s64, s43)), introduced(assumption)).
% 1.35/1.32 tff(8049,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s43)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8050,plain,
% 1.35/1.32 (((~trans(s64, s43)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s43)) <=> (until2p29(s43) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s43)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8051,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s43)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s43))))),
% 1.35/1.32 inference(monotonicity,[status(thm)],[8050])).
% 1.35/1.32 tff(8052,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s43)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s43)))),
% 1.35/1.32 inference(transitivity,[status(thm)],[8051, 8049])).
% 1.35/1.32 tff(8053,plain,
% 1.35/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s43)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s43))),
% 1.35/1.32 inference(quant_inst,[status(thm)],[])).
% 1.35/1.32 tff(8054,plain,
% 1.35/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s43))),
% 1.35/1.32 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 1.35/1.32 tff(8055,plain,
% 1.35/1.32 ($false),
% 1.35/1.32 inference(unit_resolution,[status(thm)],[8054, 6884, 8048, 7552, 7122, 6874])).
% 1.35/1.32 tff(8056,plain,(~trans(s64, s43)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.32 tff(8057,assumption,(trans(s64, s46)), introduced(assumption)).
% 1.35/1.32 tff(8058,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s46)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8059,plain,
% 1.35/1.32 (((~trans(s64, s46)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s46)) <=> (until2p29(s46) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s46)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8060,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s46)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s46))))),
% 1.35/1.32 inference(monotonicity,[status(thm)],[8059])).
% 1.35/1.32 tff(8061,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s46)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s46)))),
% 1.35/1.32 inference(transitivity,[status(thm)],[8060, 8058])).
% 1.35/1.32 tff(8062,plain,
% 1.35/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s46)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s46))),
% 1.35/1.32 inference(quant_inst,[status(thm)],[])).
% 1.35/1.32 tff(8063,plain,
% 1.35/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s46))),
% 1.35/1.32 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 1.35/1.32 tff(8064,plain,
% 1.35/1.32 ($false),
% 1.35/1.32 inference(unit_resolution,[status(thm)],[8063, 6884, 8057, 7552, 7092, 6874])).
% 1.35/1.32 tff(8065,plain,(~trans(s64, s46)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.32 tff(8066,assumption,(trans(s64, s49)), introduced(assumption)).
% 1.35/1.32 tff(8067,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s49)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8068,plain,
% 1.35/1.32 (((~trans(s64, s49)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s49)) <=> (until2p29(s49) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s49)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8069,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s49)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s49))))),
% 1.35/1.32 inference(monotonicity,[status(thm)],[8068])).
% 1.35/1.32 tff(8070,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s49)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s49)))),
% 1.35/1.32 inference(transitivity,[status(thm)],[8069, 8067])).
% 1.35/1.32 tff(8071,plain,
% 1.35/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s49)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s49))),
% 1.35/1.32 inference(quant_inst,[status(thm)],[])).
% 1.35/1.32 tff(8072,plain,
% 1.35/1.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s49))),
% 1.35/1.32 inference(modus_ponens,[status(thm)],[8071, 8070])).
% 1.35/1.32 tff(8073,plain,
% 1.35/1.32 ($false),
% 1.35/1.32 inference(unit_resolution,[status(thm)],[8072, 6884, 8066, 7552, 7062, 6874])).
% 1.35/1.32 tff(8074,plain,(~trans(s64, s49)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.32 tff(8075,assumption,(trans(s64, s52)), introduced(assumption)).
% 1.35/1.32 tff(8076,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s52)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8077,plain,
% 1.35/1.32 (((~trans(s64, s52)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s52)) <=> (until2p29(s52) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s52)))),
% 1.35/1.32 inference(rewrite,[status(thm)],[])).
% 1.35/1.32 tff(8078,plain,
% 1.35/1.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s52)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s52))))),
% 1.35/1.33 inference(monotonicity,[status(thm)],[8077])).
% 1.35/1.33 tff(8079,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s52)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s52)))),
% 1.35/1.33 inference(transitivity,[status(thm)],[8078, 8076])).
% 1.35/1.33 tff(8080,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s52)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s52))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8081,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s52))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8080, 8079])).
% 1.35/1.33 tff(8082,plain,
% 1.35/1.33 ($false),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8081, 6884, 8075, 7552, 7032, 6874])).
% 1.35/1.33 tff(8083,plain,(~trans(s64, s52)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.33 tff(8084,assumption,(trans(s64, s55)), introduced(assumption)).
% 1.35/1.33 tff(8085,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s55)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8086,plain,
% 1.35/1.33 (((~trans(s64, s55)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s55)) <=> (until2p29(s55) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s55)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8087,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s55)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s55))))),
% 1.35/1.33 inference(monotonicity,[status(thm)],[8086])).
% 1.35/1.33 tff(8088,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s55)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s55)))),
% 1.35/1.33 inference(transitivity,[status(thm)],[8087, 8085])).
% 1.35/1.33 tff(8089,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s55)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s55))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8090,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s55))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 1.35/1.33 tff(8091,plain,
% 1.35/1.33 ($false),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8090, 6884, 8084, 7552, 7002, 6874])).
% 1.35/1.33 tff(8092,plain,(~trans(s64, s55)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.33 tff(8093,assumption,(trans(s64, s58)), introduced(assumption)).
% 1.35/1.33 tff(8094,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s58)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8095,plain,
% 1.35/1.33 (((~trans(s64, s58)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s58)) <=> (until2p29(s58) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s58)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8096,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s58)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s58))))),
% 1.35/1.33 inference(monotonicity,[status(thm)],[8095])).
% 1.35/1.33 tff(8097,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s58)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s58)))),
% 1.35/1.33 inference(transitivity,[status(thm)],[8096, 8094])).
% 1.35/1.33 tff(8098,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s58)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s58))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8099,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s58))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 1.35/1.33 tff(8100,plain,
% 1.35/1.33 ($false),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8099, 6884, 8093, 7552, 6972, 6874])).
% 1.35/1.33 tff(8101,plain,(~trans(s64, s58)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.33 tff(8102,assumption,(trans(s64, s61)), introduced(assumption)).
% 1.35/1.33 tff(8103,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s61)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8104,plain,
% 1.35/1.33 (((~trans(s64, s61)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s61)) <=> (until2p29(s61) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s61)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8105,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s61)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s61))))),
% 1.35/1.33 inference(monotonicity,[status(thm)],[8104])).
% 1.35/1.33 tff(8106,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s61)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s61)))),
% 1.35/1.33 inference(transitivity,[status(thm)],[8105, 8103])).
% 1.35/1.33 tff(8107,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s61)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s61))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8108,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s61))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8107, 8106])).
% 1.35/1.33 tff(8109,plain,
% 1.35/1.33 ($false),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8108, 6884, 8102, 7552, 6942, 6874])).
% 1.35/1.33 tff(8110,plain,(~trans(s64, s61)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.33 tff(8111,assumption,(trans(s64, s64)), introduced(assumption)).
% 1.35/1.33 tff(8112,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s64)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8113,plain,
% 1.35/1.33 (((~trans(s64, s64)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s64)) <=> (until2p29(s64) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s64)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8114,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s64)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s64))))),
% 1.35/1.33 inference(monotonicity,[status(thm)],[8113])).
% 1.35/1.33 tff(8115,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s64)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s64)))),
% 1.35/1.33 inference(transitivity,[status(thm)],[8114, 8112])).
% 1.35/1.33 tff(8116,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s64)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s64))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8117,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s64))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8116, 8115])).
% 1.35/1.33 tff(8118,plain,
% 1.35/1.33 ($false),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8117, 6884, 8111, 7552, 6903, 6874])).
% 1.35/1.33 tff(8119,plain,(~trans(s64, s64)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.33 tff(8120,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8121,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8122,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8121, 8120])).
% 1.35/1.33 tff(8123,plain,
% 1.35/1.33 (until2p29(s1) | (~xuntil2p30(s0))),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8122, 60, 6913])).
% 1.35/1.33 tff(8124,plain,
% 1.35/1.33 (~xuntil2p30(s0)),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8123, 7542])).
% 1.35/1.33 tff(8125,plain,
% 1.35/1.33 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8126,plain,
% 1.35/1.33 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8127,plain,
% 1.35/1.33 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 1.35/1.33 tff(8128,plain,
% 1.35/1.33 (xuntil2p30(s0) | (~until2p29(s0))),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8127, 6898, 5974])).
% 1.35/1.33 tff(8129,plain,
% 1.35/1.33 (~until2p29(s0)),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8128, 8124])).
% 1.35/1.33 tff(8130,assumption,(trans(s64, s0)), introduced(assumption)).
% 1.35/1.33 tff(8131,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s64)) | (~xuntil28(s64)) | until2p29(s0) | (~trans(s64, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0) | (~trans(s64, s0)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8132,plain,
% 1.35/1.33 (((~trans(s64, s0)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0)) <=> ((~last(s64)) | (~xuntil28(s64)) | until2p29(s0) | (~trans(s64, s0)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8133,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s0)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s64)) | (~xuntil28(s64)) | until2p29(s0) | (~trans(s64, s0))))),
% 1.35/1.33 inference(monotonicity,[status(thm)],[8132])).
% 1.35/1.33 tff(8134,plain,
% 1.35/1.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s0)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0) | (~trans(s64, s0)))),
% 1.35/1.33 inference(transitivity,[status(thm)],[8133, 8131])).
% 1.35/1.33 tff(8135,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s0)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8136,plain,
% 1.35/1.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s0) | (~trans(s64, s0))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8135, 8134])).
% 1.35/1.33 tff(8137,plain,
% 1.35/1.33 ($false),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8136, 6884, 8130, 7552, 6874, 8129])).
% 1.35/1.33 tff(8138,plain,(~trans(s64, s0)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.33 tff(8139,plain,
% 1.35/1.33 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 1.35/1.33 inference(bind,[status(th)],[])).
% 1.35/1.33 tff(8140,plain,
% 1.35/1.33 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(quant_intro,[status(thm)],[8139])).
% 1.35/1.33 tff(8141,plain,
% 1.35/1.33 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8142,plain,
% 1.35/1.33 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 1.35/1.33 inference(bind,[status(th)],[])).
% 1.35/1.33 tff(8143,plain,
% 1.35/1.33 (![X: $i] : ((loop | (~last(X))) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(quant_intro,[status(thm)],[8142])).
% 1.35/1.33 tff(8144,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty21')).
% 1.35/1.33 tff(8145,plain,
% 1.35/1.33 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8144, 8143])).
% 1.35/1.33 tff(8146,plain,
% 1.35/1.33 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8145, 8141])).
% 1.35/1.33 tff(8147,plain,(
% 1.35/1.33 ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(skolemize,[status(sab)],[8146])).
% 1.35/1.33 tff(8148,plain,
% 1.35/1.33 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8147, 8140])).
% 1.35/1.33 tff(8149,plain,
% 1.35/1.33 (((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s64)) | (~xuntil28(s64)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s64)) | (~xuntil28(s64)))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8150,plain,
% 1.35/1.33 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s64)) | (~xuntil28(s64)))),
% 1.35/1.33 inference(quant_inst,[status(thm)],[])).
% 1.35/1.33 tff(8151,plain,
% 1.35/1.33 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s64)) | (~xuntil28(s64))),
% 1.35/1.33 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 1.35/1.33 tff(8152,plain,
% 1.35/1.33 (loop | (~xuntil28(s64))),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8151, 6884, 8148])).
% 1.35/1.33 tff(8153,plain,
% 1.35/1.33 (loop),
% 1.35/1.33 inference(unit_resolution,[status(thm)],[8152, 6874])).
% 1.35/1.33 tff(8154,plain,
% 1.35/1.33 (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64))),
% 1.35/1.33 inference(rewrite,[status(thm)],[])).
% 1.35/1.33 tff(8155,plain,
% 1.35/1.33 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63)) | trans(s64, s64)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64))),
% 1.35/1.34 inference(rewrite,[status(thm)],[])).
% 1.35/1.34 tff(8156,plain,
% 1.35/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62)) | trans(s64, s63)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63))),
% 1.35/1.34 inference(rewrite,[status(thm)],[])).
% 1.35/1.34 tff(8157,plain,
% 1.35/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61)) | trans(s64, s62)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62))),
% 1.35/1.34 inference(rewrite,[status(thm)],[])).
% 1.35/1.34 tff(8158,plain,
% 1.35/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60)) | trans(s64, s61)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61))),
% 1.35/1.34 inference(rewrite,[status(thm)],[])).
% 1.35/1.34 tff(8159,plain,
% 1.35/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59)) | trans(s64, s60)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60))),
% 1.35/1.34 inference(rewrite,[status(thm)],[])).
% 1.35/1.34 tff(8160,plain,
% 1.35/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58)) | trans(s64, s59)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59))),
% 1.35/1.34 inference(rewrite,[status(thm)],[])).
% 1.35/1.34 tff(8161,plain,
% 1.35/1.34 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57)) | trans(s64, s58)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58))),
% 1.35/1.35 inference(rewrite,[status(thm)],[])).
% 1.35/1.35 tff(8162,plain,
% 1.35/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56)) | trans(s64, s57)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57))),
% 1.35/1.35 inference(rewrite,[status(thm)],[])).
% 1.35/1.35 tff(8163,plain,
% 1.35/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55)) | trans(s64, s56)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56))),
% 1.35/1.35 inference(rewrite,[status(thm)],[])).
% 1.35/1.35 tff(8164,plain,
% 1.35/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54)) | trans(s64, s55)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55))),
% 1.35/1.35 inference(rewrite,[status(thm)],[])).
% 1.35/1.35 tff(8165,plain,
% 1.35/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53)) | trans(s64, s54)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54))),
% 1.35/1.35 inference(rewrite,[status(thm)],[])).
% 1.35/1.35 tff(8166,plain,
% 1.35/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52)) | trans(s64, s53)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53))),
% 1.35/1.35 inference(rewrite,[status(thm)],[])).
% 1.35/1.35 tff(8167,plain,
% 1.35/1.35 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51)) | trans(s64, s52)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52))),
% 1.35/1.36 inference(rewrite,[status(thm)],[])).
% 1.35/1.36 tff(8168,plain,
% 1.35/1.36 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50)) | trans(s64, s51)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51))),
% 1.35/1.36 inference(rewrite,[status(thm)],[])).
% 1.35/1.36 tff(8169,plain,
% 1.35/1.36 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49)) | trans(s64, s50)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50))),
% 1.35/1.36 inference(rewrite,[status(thm)],[])).
% 1.35/1.36 tff(8170,plain,
% 1.35/1.36 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48)) | trans(s64, s49)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49))),
% 1.35/1.36 inference(rewrite,[status(thm)],[])).
% 1.35/1.36 tff(8171,plain,
% 1.35/1.36 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47)) | trans(s64, s48)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48))),
% 1.35/1.36 inference(rewrite,[status(thm)],[])).
% 1.35/1.36 tff(8172,plain,
% 1.35/1.36 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46)) | trans(s64, s47)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47))),
% 1.35/1.36 inference(rewrite,[status(thm)],[])).
% 1.35/1.36 tff(8173,plain,
% 1.35/1.36 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45)) | trans(s64, s46)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8174,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44)) | trans(s64, s45)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8175,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43)) | trans(s64, s44)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8176,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42)) | trans(s64, s43)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8177,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41)) | trans(s64, s42)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8178,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40)) | trans(s64, s41)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8179,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39)) | trans(s64, s40)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8180,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38)) | trans(s64, s39)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39))),
% 1.35/1.37 inference(rewrite,[status(thm)],[])).
% 1.35/1.37 tff(8181,plain,
% 1.35/1.37 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37)) | trans(s64, s38)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8182,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36)) | trans(s64, s37)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8183,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35)) | trans(s64, s36)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8184,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34)) | trans(s64, s35)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8185,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33)) | trans(s64, s34)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8186,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32)) | trans(s64, s33)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8187,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31)) | trans(s64, s32)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8188,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30)) | trans(s64, s31)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8189,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29)) | trans(s64, s30)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30))),
% 1.35/1.38 inference(rewrite,[status(thm)],[])).
% 1.35/1.38 tff(8190,plain,
% 1.35/1.38 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28)) | trans(s64, s29)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29))),
% 1.35/1.39 inference(rewrite,[status(thm)],[])).
% 1.35/1.39 tff(8191,plain,
% 1.35/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27)) | trans(s64, s28)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28))),
% 1.35/1.39 inference(rewrite,[status(thm)],[])).
% 1.35/1.39 tff(8192,plain,
% 1.35/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26)) | trans(s64, s27)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27))),
% 1.35/1.39 inference(rewrite,[status(thm)],[])).
% 1.35/1.39 tff(8193,plain,
% 1.35/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25)) | trans(s64, s26)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26))),
% 1.35/1.39 inference(rewrite,[status(thm)],[])).
% 1.35/1.39 tff(8194,plain,
% 1.35/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24)) | trans(s64, s25)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8195,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23)) | trans(s64, s24)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8196,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22)) | trans(s64, s23)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8197,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21)) | trans(s64, s22)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8198,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20)) | trans(s64, s21)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8199,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19)) | trans(s64, s20)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8200,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18)) | trans(s64, s19)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8201,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17)) | trans(s64, s18)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8202,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16)) | trans(s64, s17)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8203,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15)) | trans(s64, s16)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16))),
% 1.41/1.39 inference(rewrite,[status(thm)],[])).
% 1.41/1.39 tff(8204,plain,
% 1.41/1.39 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14)) | trans(s64, s15)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8205,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13)) | trans(s64, s14)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8206,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12)) | trans(s64, s13)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8207,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11)) | trans(s64, s12)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8208,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10)) | trans(s64, s11)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8209,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9)) | trans(s64, s10)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8210,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8)) | trans(s64, s9)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8211,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7)) | trans(s64, s8)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8212,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6)) | trans(s64, s7)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8213,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5)) | trans(s64, s6)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8214,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4)) | trans(s64, s5)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8215,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3)) | trans(s64, s4)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8216,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2)) | trans(s64, s3)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8217,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0) | trans(s64, s1)) | trans(s64, s2)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8218,plain,
% 1.41/1.40 ((((~loop) | trans(s64, s0)) | trans(s64, s1)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1))),
% 1.41/1.40 inference(rewrite,[status(thm)],[])).
% 1.41/1.40 tff(8219,plain,
% 1.41/1.40 (((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1)) | trans(s64, s2))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8218])).
% 1.41/1.40 tff(8220,plain,
% 1.41/1.40 (((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8219, 8217])).
% 1.41/1.40 tff(8221,plain,
% 1.41/1.40 ((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2)) | trans(s64, s3))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8220])).
% 1.41/1.40 tff(8222,plain,
% 1.41/1.40 ((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8221, 8216])).
% 1.41/1.40 tff(8223,plain,
% 1.41/1.40 (((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3)) | trans(s64, s4))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8222])).
% 1.41/1.40 tff(8224,plain,
% 1.41/1.40 (((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8223, 8215])).
% 1.41/1.40 tff(8225,plain,
% 1.41/1.40 ((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4)) | trans(s64, s5))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8224])).
% 1.41/1.40 tff(8226,plain,
% 1.41/1.40 ((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8225, 8214])).
% 1.41/1.40 tff(8227,plain,
% 1.41/1.40 (((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5)) | trans(s64, s6))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8226])).
% 1.41/1.40 tff(8228,plain,
% 1.41/1.40 (((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8227, 8213])).
% 1.41/1.40 tff(8229,plain,
% 1.41/1.40 ((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6)) | trans(s64, s7))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8228])).
% 1.41/1.40 tff(8230,plain,
% 1.41/1.40 ((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8229, 8212])).
% 1.41/1.40 tff(8231,plain,
% 1.41/1.40 (((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7)) | trans(s64, s8))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8230])).
% 1.41/1.40 tff(8232,plain,
% 1.41/1.40 (((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8231, 8211])).
% 1.41/1.40 tff(8233,plain,
% 1.41/1.40 ((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8)) | trans(s64, s9))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8232])).
% 1.41/1.40 tff(8234,plain,
% 1.41/1.40 ((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8233, 8210])).
% 1.41/1.40 tff(8235,plain,
% 1.41/1.40 (((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9)) | trans(s64, s10))),
% 1.41/1.40 inference(monotonicity,[status(thm)],[8234])).
% 1.41/1.40 tff(8236,plain,
% 1.41/1.40 (((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10))),
% 1.41/1.40 inference(transitivity,[status(thm)],[8235, 8209])).
% 1.41/1.41 tff(8237,plain,
% 1.41/1.41 ((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10)) | trans(s64, s11))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8236])).
% 1.41/1.41 tff(8238,plain,
% 1.41/1.41 ((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8237, 8208])).
% 1.41/1.41 tff(8239,plain,
% 1.41/1.41 (((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11)) | trans(s64, s12))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8238])).
% 1.41/1.41 tff(8240,plain,
% 1.41/1.41 (((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8239, 8207])).
% 1.41/1.41 tff(8241,plain,
% 1.41/1.41 ((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12)) | trans(s64, s13))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8240])).
% 1.41/1.41 tff(8242,plain,
% 1.41/1.41 ((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8241, 8206])).
% 1.41/1.41 tff(8243,plain,
% 1.41/1.41 (((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13)) | trans(s64, s14))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8242])).
% 1.41/1.41 tff(8244,plain,
% 1.41/1.41 (((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8243, 8205])).
% 1.41/1.41 tff(8245,plain,
% 1.41/1.41 ((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14)) | trans(s64, s15))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8244])).
% 1.41/1.41 tff(8246,plain,
% 1.41/1.41 ((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8245, 8204])).
% 1.41/1.41 tff(8247,plain,
% 1.41/1.41 (((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15)) | trans(s64, s16))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8246])).
% 1.41/1.41 tff(8248,plain,
% 1.41/1.41 (((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8247, 8203])).
% 1.41/1.41 tff(8249,plain,
% 1.41/1.41 ((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16)) | trans(s64, s17))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8248])).
% 1.41/1.41 tff(8250,plain,
% 1.41/1.41 ((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8249, 8202])).
% 1.41/1.41 tff(8251,plain,
% 1.41/1.41 (((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17)) | trans(s64, s18))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8250])).
% 1.41/1.41 tff(8252,plain,
% 1.41/1.41 (((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8251, 8201])).
% 1.41/1.41 tff(8253,plain,
% 1.41/1.41 ((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18)) | trans(s64, s19))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8252])).
% 1.41/1.41 tff(8254,plain,
% 1.41/1.41 ((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8253, 8200])).
% 1.41/1.41 tff(8255,plain,
% 1.41/1.41 (((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19)) | trans(s64, s20))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8254])).
% 1.41/1.41 tff(8256,plain,
% 1.41/1.41 (((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8255, 8199])).
% 1.41/1.41 tff(8257,plain,
% 1.41/1.41 ((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20)) | trans(s64, s21))),
% 1.41/1.41 inference(monotonicity,[status(thm)],[8256])).
% 1.41/1.41 tff(8258,plain,
% 1.41/1.41 ((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21))),
% 1.41/1.41 inference(transitivity,[status(thm)],[8257, 8198])).
% 1.41/1.41 tff(8259,plain,
% 1.41/1.41 (((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21)) | trans(s64, s22))),
% 1.41/1.42 inference(monotonicity,[status(thm)],[8258])).
% 1.41/1.42 tff(8260,plain,
% 1.41/1.42 (((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22))),
% 1.41/1.42 inference(transitivity,[status(thm)],[8259, 8197])).
% 1.41/1.42 tff(8261,plain,
% 1.41/1.42 ((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22)) | trans(s64, s23))),
% 1.41/1.42 inference(monotonicity,[status(thm)],[8260])).
% 1.41/1.42 tff(8262,plain,
% 1.41/1.42 ((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23))),
% 1.41/1.42 inference(transitivity,[status(thm)],[8261, 8196])).
% 1.41/1.42 tff(8263,plain,
% 1.41/1.42 (((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23)) | trans(s64, s24))),
% 1.41/1.42 inference(monotonicity,[status(thm)],[8262])).
% 1.41/1.42 tff(8264,plain,
% 1.41/1.42 (((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24))),
% 1.41/1.42 inference(transitivity,[status(thm)],[8263, 8195])).
% 1.41/1.42 tff(8265,plain,
% 1.41/1.42 ((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24)) | trans(s64, s25))),
% 1.41/1.42 inference(monotonicity,[status(thm)],[8264])).
% 1.41/1.42 tff(8266,plain,
% 1.41/1.42 ((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25))),
% 1.41/1.42 inference(transitivity,[status(thm)],[8265, 8194])).
% 1.41/1.42 tff(8267,plain,
% 1.41/1.42 (((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25)) | trans(s64, s26))),
% 1.41/1.42 inference(monotonicity,[status(thm)],[8266])).
% 1.41/1.42 tff(8268,plain,
% 1.41/1.42 (((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26))),
% 1.41/1.42 inference(transitivity,[status(thm)],[8267, 8193])).
% 1.41/1.42 tff(8269,plain,
% 1.41/1.42 ((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26)) | trans(s64, s27))),
% 1.41/1.42 inference(monotonicity,[status(thm)],[8268])).
% 1.41/1.42 tff(8270,plain,
% 1.41/1.42 ((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27))),
% 1.41/1.42 inference(transitivity,[status(thm)],[8269, 8192])).
% 1.41/1.42 tff(8271,plain,
% 1.41/1.42 (((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27)) | trans(s64, s28))),
% 1.41/1.43 inference(monotonicity,[status(thm)],[8270])).
% 1.41/1.43 tff(8272,plain,
% 1.41/1.43 (((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28))),
% 1.41/1.43 inference(transitivity,[status(thm)],[8271, 8191])).
% 1.41/1.43 tff(8273,plain,
% 1.41/1.43 ((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28)) | trans(s64, s29))),
% 1.41/1.43 inference(monotonicity,[status(thm)],[8272])).
% 1.41/1.43 tff(8274,plain,
% 1.41/1.43 ((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29))),
% 1.41/1.43 inference(transitivity,[status(thm)],[8273, 8190])).
% 1.41/1.43 tff(8275,plain,
% 1.41/1.43 (((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29)) | trans(s64, s30))),
% 1.41/1.43 inference(monotonicity,[status(thm)],[8274])).
% 1.41/1.43 tff(8276,plain,
% 1.41/1.43 (((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30))),
% 1.41/1.43 inference(transitivity,[status(thm)],[8275, 8189])).
% 1.41/1.43 tff(8277,plain,
% 1.41/1.43 ((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30)) | trans(s64, s31))),
% 1.41/1.43 inference(monotonicity,[status(thm)],[8276])).
% 1.41/1.43 tff(8278,plain,
% 1.41/1.43 ((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31))),
% 1.41/1.43 inference(transitivity,[status(thm)],[8277, 8188])).
% 1.41/1.43 tff(8279,plain,
% 1.41/1.43 (((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31)) | trans(s64, s32))),
% 1.41/1.43 inference(monotonicity,[status(thm)],[8278])).
% 1.41/1.43 tff(8280,plain,
% 1.41/1.43 (((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32))),
% 1.41/1.44 inference(transitivity,[status(thm)],[8279, 8187])).
% 1.41/1.44 tff(8281,plain,
% 1.41/1.44 ((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32)) | trans(s64, s33))),
% 1.41/1.44 inference(monotonicity,[status(thm)],[8280])).
% 1.41/1.44 tff(8282,plain,
% 1.41/1.44 ((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33))),
% 1.41/1.44 inference(transitivity,[status(thm)],[8281, 8186])).
% 1.41/1.44 tff(8283,plain,
% 1.41/1.44 (((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33)) | trans(s64, s34))),
% 1.41/1.44 inference(monotonicity,[status(thm)],[8282])).
% 1.41/1.44 tff(8284,plain,
% 1.41/1.44 (((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34))),
% 1.41/1.44 inference(transitivity,[status(thm)],[8283, 8185])).
% 1.41/1.44 tff(8285,plain,
% 1.41/1.44 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34)) | trans(s64, s35))),
% 1.41/1.44 inference(monotonicity,[status(thm)],[8284])).
% 1.41/1.44 tff(8286,plain,
% 1.41/1.44 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35))),
% 1.41/1.44 inference(transitivity,[status(thm)],[8285, 8184])).
% 1.41/1.44 tff(8287,plain,
% 1.41/1.44 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35)) | trans(s64, s36))),
% 1.41/1.44 inference(monotonicity,[status(thm)],[8286])).
% 1.41/1.44 tff(8288,plain,
% 1.41/1.44 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36))),
% 1.41/1.44 inference(transitivity,[status(thm)],[8287, 8183])).
% 1.41/1.44 tff(8289,plain,
% 1.41/1.44 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36)) | trans(s64, s37))),
% 1.41/1.45 inference(monotonicity,[status(thm)],[8288])).
% 1.41/1.45 tff(8290,plain,
% 1.41/1.45 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37))),
% 1.41/1.45 inference(transitivity,[status(thm)],[8289, 8182])).
% 1.41/1.45 tff(8291,plain,
% 1.41/1.45 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37)) | trans(s64, s38))),
% 1.41/1.45 inference(monotonicity,[status(thm)],[8290])).
% 1.41/1.45 tff(8292,plain,
% 1.41/1.45 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38))),
% 1.41/1.45 inference(transitivity,[status(thm)],[8291, 8181])).
% 1.41/1.45 tff(8293,plain,
% 1.41/1.45 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38)) | trans(s64, s39))),
% 1.41/1.45 inference(monotonicity,[status(thm)],[8292])).
% 1.41/1.45 tff(8294,plain,
% 1.41/1.45 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39))),
% 1.41/1.45 inference(transitivity,[status(thm)],[8293, 8180])).
% 1.41/1.45 tff(8295,plain,
% 1.41/1.45 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39)) | trans(s64, s40))),
% 1.41/1.45 inference(monotonicity,[status(thm)],[8294])).
% 1.41/1.45 tff(8296,plain,
% 1.41/1.45 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40))),
% 1.41/1.45 inference(transitivity,[status(thm)],[8295, 8179])).
% 1.41/1.45 tff(8297,plain,
% 1.41/1.45 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40)) | trans(s64, s41))),
% 1.41/1.46 inference(monotonicity,[status(thm)],[8296])).
% 1.41/1.46 tff(8298,plain,
% 1.41/1.46 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41))),
% 1.41/1.46 inference(transitivity,[status(thm)],[8297, 8178])).
% 1.41/1.46 tff(8299,plain,
% 1.41/1.46 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41)) | trans(s64, s42))),
% 1.41/1.46 inference(monotonicity,[status(thm)],[8298])).
% 1.41/1.46 tff(8300,plain,
% 1.41/1.46 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42))),
% 1.41/1.46 inference(transitivity,[status(thm)],[8299, 8177])).
% 1.41/1.46 tff(8301,plain,
% 1.41/1.46 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42)) | trans(s64, s43))),
% 1.41/1.46 inference(monotonicity,[status(thm)],[8300])).
% 1.48/1.46 tff(8302,plain,
% 1.48/1.46 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43))),
% 1.48/1.46 inference(transitivity,[status(thm)],[8301, 8176])).
% 1.48/1.46 tff(8303,plain,
% 1.48/1.46 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43)) | trans(s64, s44))),
% 1.48/1.46 inference(monotonicity,[status(thm)],[8302])).
% 1.48/1.46 tff(8304,plain,
% 1.48/1.46 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44))),
% 1.48/1.47 inference(transitivity,[status(thm)],[8303, 8175])).
% 1.48/1.47 tff(8305,plain,
% 1.48/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44)) | trans(s64, s45))),
% 1.48/1.47 inference(monotonicity,[status(thm)],[8304])).
% 1.48/1.47 tff(8306,plain,
% 1.48/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45))),
% 1.49/1.47 inference(transitivity,[status(thm)],[8305, 8174])).
% 1.49/1.47 tff(8307,plain,
% 1.49/1.47 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45)) | trans(s64, s46))),
% 1.49/1.47 inference(monotonicity,[status(thm)],[8306])).
% 1.49/1.47 tff(8308,plain,
% 1.49/1.47 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46))),
% 1.49/1.47 inference(transitivity,[status(thm)],[8307, 8173])).
% 1.49/1.47 tff(8309,plain,
% 1.49/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46)) | trans(s64, s47))),
% 1.49/1.47 inference(monotonicity,[status(thm)],[8308])).
% 1.49/1.47 tff(8310,plain,
% 1.49/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47))),
% 1.49/1.48 inference(transitivity,[status(thm)],[8309, 8172])).
% 1.49/1.48 tff(8311,plain,
% 1.49/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47)) | trans(s64, s48))),
% 1.49/1.48 inference(monotonicity,[status(thm)],[8310])).
% 1.49/1.48 tff(8312,plain,
% 1.49/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48))),
% 1.49/1.48 inference(transitivity,[status(thm)],[8311, 8171])).
% 1.49/1.48 tff(8313,plain,
% 1.49/1.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48)) | trans(s64, s49))),
% 1.49/1.48 inference(monotonicity,[status(thm)],[8312])).
% 1.49/1.48 tff(8314,plain,
% 1.49/1.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49))),
% 1.49/1.48 inference(transitivity,[status(thm)],[8313, 8170])).
% 1.49/1.48 tff(8315,plain,
% 1.49/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49)) | trans(s64, s50))),
% 1.49/1.48 inference(monotonicity,[status(thm)],[8314])).
% 1.49/1.48 tff(8316,plain,
% 1.49/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50))),
% 1.49/1.48 inference(transitivity,[status(thm)],[8315, 8169])).
% 1.49/1.48 tff(8317,plain,
% 1.49/1.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50)) | trans(s64, s51))),
% 1.49/1.49 inference(monotonicity,[status(thm)],[8316])).
% 1.49/1.49 tff(8318,plain,
% 1.49/1.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51))),
% 1.49/1.49 inference(transitivity,[status(thm)],[8317, 8168])).
% 1.49/1.49 tff(8319,plain,
% 1.49/1.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51)) | trans(s64, s52))),
% 1.49/1.49 inference(monotonicity,[status(thm)],[8318])).
% 1.49/1.49 tff(8320,plain,
% 1.49/1.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52))),
% 1.49/1.49 inference(transitivity,[status(thm)],[8319, 8167])).
% 1.49/1.49 tff(8321,plain,
% 1.49/1.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52)) | trans(s64, s53))),
% 1.49/1.49 inference(monotonicity,[status(thm)],[8320])).
% 1.49/1.49 tff(8322,plain,
% 1.49/1.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53))),
% 1.49/1.49 inference(transitivity,[status(thm)],[8321, 8166])).
% 1.49/1.50 tff(8323,plain,
% 1.49/1.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53)) | trans(s64, s54))),
% 1.49/1.50 inference(monotonicity,[status(thm)],[8322])).
% 1.49/1.50 tff(8324,plain,
% 1.49/1.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54))),
% 1.49/1.50 inference(transitivity,[status(thm)],[8323, 8165])).
% 1.49/1.50 tff(8325,plain,
% 1.49/1.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54)) | trans(s64, s55))),
% 1.49/1.50 inference(monotonicity,[status(thm)],[8324])).
% 1.49/1.50 tff(8326,plain,
% 1.49/1.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55))),
% 1.49/1.50 inference(transitivity,[status(thm)],[8325, 8164])).
% 1.49/1.50 tff(8327,plain,
% 1.49/1.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55)) | trans(s64, s56))),
% 1.49/1.50 inference(monotonicity,[status(thm)],[8326])).
% 1.49/1.50 tff(8328,plain,
% 1.49/1.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56))),
% 1.53/1.51 inference(transitivity,[status(thm)],[8327, 8163])).
% 1.53/1.51 tff(8329,plain,
% 1.53/1.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56)) | trans(s64, s57))),
% 1.53/1.51 inference(monotonicity,[status(thm)],[8328])).
% 1.53/1.51 tff(8330,plain,
% 1.53/1.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57))),
% 1.53/1.51 inference(transitivity,[status(thm)],[8329, 8162])).
% 1.53/1.51 tff(8331,plain,
% 1.53/1.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57)) | trans(s64, s58))),
% 1.53/1.51 inference(monotonicity,[status(thm)],[8330])).
% 1.53/1.51 tff(8332,plain,
% 1.53/1.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58))),
% 1.53/1.51 inference(transitivity,[status(thm)],[8331, 8161])).
% 1.53/1.51 tff(8333,plain,
% 1.53/1.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58)) | trans(s64, s59))),
% 1.53/1.52 inference(monotonicity,[status(thm)],[8332])).
% 1.53/1.52 tff(8334,plain,
% 1.53/1.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59))),
% 1.53/1.52 inference(transitivity,[status(thm)],[8333, 8160])).
% 1.53/1.52 tff(8335,plain,
% 1.53/1.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59)) | trans(s64, s60))),
% 1.53/1.52 inference(monotonicity,[status(thm)],[8334])).
% 1.53/1.52 tff(8336,plain,
% 1.53/1.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60))),
% 1.53/1.52 inference(transitivity,[status(thm)],[8335, 8159])).
% 1.53/1.52 tff(8337,plain,
% 1.53/1.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60)) | trans(s64, s61))),
% 1.53/1.52 inference(monotonicity,[status(thm)],[8336])).
% 1.53/1.52 tff(8338,plain,
% 1.53/1.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61))),
% 1.53/1.52 inference(transitivity,[status(thm)],[8337, 8158])).
% 1.53/1.53 tff(8339,plain,
% 1.53/1.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61)) | trans(s64, s62))),
% 1.53/1.53 inference(monotonicity,[status(thm)],[8338])).
% 1.53/1.53 tff(8340,plain,
% 1.53/1.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62))),
% 1.53/1.53 inference(transitivity,[status(thm)],[8339, 8157])).
% 1.53/1.53 tff(8341,plain,
% 1.53/1.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62)) | trans(s64, s63))),
% 1.53/1.53 inference(monotonicity,[status(thm)],[8340])).
% 1.53/1.53 tff(8342,plain,
% 1.53/1.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63))),
% 1.55/1.53 inference(transitivity,[status(thm)],[8341, 8156])).
% 1.55/1.53 tff(8343,plain,
% 1.55/1.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) | trans(s64, s64)) <=> (((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63)) | trans(s64, s64))),
% 1.55/1.53 inference(monotonicity,[status(thm)],[8342])).
% 1.55/1.53 tff(8344,plain,
% 1.55/1.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) | trans(s64, s64)) <=> ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64))),
% 1.55/1.53 inference(transitivity,[status(thm)],[8343, 8155])).
% 1.55/1.53 tff(8345,axiom,((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s64, s0)) | trans(s64, s1)) | trans(s64, s2)) | trans(s64, s3)) | trans(s64, s4)) | trans(s64, s5)) | trans(s64, s6)) | trans(s64, s7)) | trans(s64, s8)) | trans(s64, s9)) | trans(s64, s10)) | trans(s64, s11)) | trans(s64, s12)) | trans(s64, s13)) | trans(s64, s14)) | trans(s64, s15)) | trans(s64, s16)) | trans(s64, s17)) | trans(s64, s18)) | trans(s64, s19)) | trans(s64, s20)) | trans(s64, s21)) | trans(s64, s22)) | trans(s64, s23)) | trans(s64, s24)) | trans(s64, s25)) | trans(s64, s26)) | trans(s64, s27)) | trans(s64, s28)) | trans(s64, s29)) | trans(s64, s30)) | trans(s64, s31)) | trans(s64, s32)) | trans(s64, s33)) | trans(s64, s34)) | trans(s64, s35)) | trans(s64, s36)) | trans(s64, s37)) | trans(s64, s38)) | trans(s64, s39)) | trans(s64, s40)) | trans(s64, s41)) | trans(s64, s42)) | trans(s64, s43)) | trans(s64, s44)) | trans(s64, s45)) | trans(s64, s46)) | trans(s64, s47)) | trans(s64, s48)) | trans(s64, s49)) | trans(s64, s50)) | trans(s64, s51)) | trans(s64, s52)) | trans(s64, s53)) | trans(s64, s54)) | trans(s64, s55)) | trans(s64, s56)) | trans(s64, s57)) | trans(s64, s58)) | trans(s64, s59)) | trans(s64, s60)) | trans(s64, s61)) | trans(s64, s62)) | trans(s64, s63)) | trans(s64, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 1.55/1.54 tff(8346,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.54 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 1.55/1.54 tff(8347,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.54 inference(modus_ponens,[status(thm)],[8346, 8154])).
% 1.55/1.54 tff(8348,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.54 inference(modus_ponens,[status(thm)],[8347, 8154])).
% 1.55/1.54 tff(8349,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.54 inference(modus_ponens,[status(thm)],[8348, 8154])).
% 1.55/1.54 tff(8350,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.54 inference(modus_ponens,[status(thm)],[8349, 8154])).
% 1.55/1.54 tff(8351,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.54 inference(modus_ponens,[status(thm)],[8350, 8154])).
% 1.55/1.54 tff(8352,plain,
% 1.55/1.54 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.55 inference(modus_ponens,[status(thm)],[8351, 8154])).
% 1.55/1.55 tff(8353,plain,
% 1.55/1.55 ((~loop) | trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.55 inference(modus_ponens,[status(thm)],[8352, 8154])).
% 1.55/1.55 tff(8354,plain,
% 1.55/1.55 (trans(s64, s0) | trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s58) | trans(s64, s59) | trans(s64, s60) | trans(s64, s61) | trans(s64, s62) | trans(s64, s63) | trans(s64, s64)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8353, 8153])).
% 1.55/1.55 tff(8355,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s43) | trans(s64, s44) | trans(s64, s45) | trans(s64, s46) | trans(s64, s47) | trans(s64, s48) | trans(s64, s49) | trans(s64, s50) | trans(s64, s51) | trans(s64, s52) | trans(s64, s53) | trans(s64, s54) | trans(s64, s55) | trans(s64, s56) | trans(s64, s57) | trans(s64, s59) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8354, 8138, 8119, 8110, 8101])).
% 1.55/1.55 tff(8356,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s28) | trans(s64, s29) | trans(s64, s30) | trans(s64, s31) | trans(s64, s32) | trans(s64, s33) | trans(s64, s34) | trans(s64, s35) | trans(s64, s36) | trans(s64, s37) | trans(s64, s38) | trans(s64, s39) | trans(s64, s40) | trans(s64, s41) | trans(s64, s42) | trans(s64, s44) | trans(s64, s45) | trans(s64, s47) | trans(s64, s48) | trans(s64, s50) | trans(s64, s51) | trans(s64, s53) | trans(s64, s54) | trans(s64, s56) | trans(s64, s57) | trans(s64, s59) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8355, 8092, 8083, 8074, 8065, 8056])).
% 1.55/1.55 tff(8357,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s13) | trans(s64, s14) | trans(s64, s15) | trans(s64, s16) | trans(s64, s17) | trans(s64, s18) | trans(s64, s19) | trans(s64, s20) | trans(s64, s21) | trans(s64, s22) | trans(s64, s23) | trans(s64, s24) | trans(s64, s25) | trans(s64, s26) | trans(s64, s27) | trans(s64, s29) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s35) | trans(s64, s36) | trans(s64, s38) | trans(s64, s39) | trans(s64, s41) | trans(s64, s42) | trans(s64, s44) | trans(s64, s45) | trans(s64, s47) | trans(s64, s48) | trans(s64, s50) | trans(s64, s51) | trans(s64, s53) | trans(s64, s54) | trans(s64, s56) | trans(s64, s57) | trans(s64, s59) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8356, 8047, 8038, 8029, 8020, 8011])).
% 1.55/1.55 tff(8358,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s4) | trans(s64, s5) | trans(s64, s6) | trans(s64, s7) | trans(s64, s8) | trans(s64, s9) | trans(s64, s10) | trans(s64, s11) | trans(s64, s12) | trans(s64, s14) | trans(s64, s15) | trans(s64, s17) | trans(s64, s18) | trans(s64, s20) | trans(s64, s21) | trans(s64, s23) | trans(s64, s24) | trans(s64, s26) | trans(s64, s27) | trans(s64, s29) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s35) | trans(s64, s36) | trans(s64, s38) | trans(s64, s39) | trans(s64, s41) | trans(s64, s42) | trans(s64, s44) | trans(s64, s45) | trans(s64, s47) | trans(s64, s48) | trans(s64, s50) | trans(s64, s51) | trans(s64, s53) | trans(s64, s54) | trans(s64, s56) | trans(s64, s57) | trans(s64, s59) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8357, 8002, 7993, 7984, 7975, 7966])).
% 1.55/1.55 tff(8359,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s5) | trans(s64, s6) | trans(s64, s8) | trans(s64, s9) | trans(s64, s11) | trans(s64, s12) | trans(s64, s14) | trans(s64, s15) | trans(s64, s17) | trans(s64, s18) | trans(s64, s20) | trans(s64, s21) | trans(s64, s23) | trans(s64, s24) | trans(s64, s26) | trans(s64, s27) | trans(s64, s29) | trans(s64, s30) | trans(s64, s32) | trans(s64, s33) | trans(s64, s35) | trans(s64, s36) | trans(s64, s38) | trans(s64, s39) | trans(s64, s41) | trans(s64, s42) | trans(s64, s44) | trans(s64, s47) | trans(s64, s48) | trans(s64, s50) | trans(s64, s51) | trans(s64, s53) | trans(s64, s54) | trans(s64, s56) | trans(s64, s57) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8358, 7957, 7948, 7939, 7930, 7921])).
% 1.55/1.55 tff(8360,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s5) | trans(s64, s6) | trans(s64, s8) | trans(s64, s9) | trans(s64, s11) | trans(s64, s12) | trans(s64, s14) | trans(s64, s15) | trans(s64, s17) | trans(s64, s18) | trans(s64, s20) | trans(s64, s21) | trans(s64, s23) | trans(s64, s24) | trans(s64, s26) | trans(s64, s27) | trans(s64, s29) | trans(s64, s30) | trans(s64, s32) | trans(s64, s36) | trans(s64, s38) | trans(s64, s39) | trans(s64, s41) | trans(s64, s44) | trans(s64, s47) | trans(s64, s51) | trans(s64, s53) | trans(s64, s54) | trans(s64, s56) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8359, 7912, 7903, 7894, 7885, 7876, 7867])).
% 1.55/1.55 tff(8361,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s5) | trans(s64, s9) | trans(s64, s11) | trans(s64, s12) | trans(s64, s14) | trans(s64, s18) | trans(s64, s20) | trans(s64, s21) | trans(s64, s23) | trans(s64, s27) | trans(s64, s29) | trans(s64, s30) | trans(s64, s32) | trans(s64, s36) | trans(s64, s38) | trans(s64, s39) | trans(s64, s41) | trans(s64, s44) | trans(s64, s47) | trans(s64, s51) | trans(s64, s53) | trans(s64, s54) | trans(s64, s56) | trans(s64, s60) | trans(s64, s62) | trans(s64, s63)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8360, 7858, 7849, 7840, 7831, 7822, 7813])).
% 1.55/1.55 tff(8362,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s2) | trans(s64, s3) | trans(s64, s5) | trans(s64, s9) | trans(s64, s11) | trans(s64, s12) | trans(s64, s18) | trans(s64, s20) | trans(s64, s21) | trans(s64, s23) | trans(s64, s29) | trans(s64, s32) | trans(s64, s36) | trans(s64, s39) | trans(s64, s44) | trans(s64, s47) | trans(s64, s51) | trans(s64, s54) | trans(s64, s60) | trans(s64, s62)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8361, 7804, 7795, 7786, 7777, 7768, 7759, 7750, 7741])).
% 1.55/1.55 tff(8363,plain,
% 1.55/1.55 (trans(s64, s1) | trans(s64, s5) | trans(s64, s12) | trans(s64, s20) | trans(s64, s29) | trans(s64, s32) | trans(s64, s47) | trans(s64, s54) | trans(s64, s60)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8362, 7732, 7723, 7714, 7705, 7696, 7687, 7678, 7669, 7660, 7651, 7642, 7633])).
% 1.55/1.55 tff(8364,plain,
% 1.55/1.55 (trans(s64, s1)),
% 1.55/1.55 inference(unit_resolution,[status(thm)],[8363, 7624, 7615, 7606, 7597, 7588, 7579, 7570, 7561])).
% 1.55/1.55 tff(8365,plain,
% 1.55/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s1)))),
% 1.55/1.55 inference(rewrite,[status(thm)],[])).
% 1.55/1.55 tff(8366,plain,
% 1.55/1.55 (((~trans(s64, s1)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s1)) <=> (until2p29(s1) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s1)))),
% 1.55/1.55 inference(rewrite,[status(thm)],[])).
% 1.55/1.55 tff(8367,plain,
% 1.55/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s1)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s1))))),
% 1.55/1.55 inference(monotonicity,[status(thm)],[8366])).
% 1.55/1.55 tff(8368,plain,
% 1.55/1.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s1)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s1)))),
% 1.55/1.55 inference(transitivity,[status(thm)],[8367, 8365])).
% 1.55/1.55 tff(8369,plain,
% 1.55/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s64, s1)) | (~last(s64)) | (~xuntil28(s64)) | until2p29(s1))),
% 1.55/1.55 inference(quant_inst,[status(thm)],[])).
% 1.55/1.55 tff(8370,plain,
% 1.55/1.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s64)) | (~xuntil28(s64)) | (~trans(s64, s1))),
% 1.55/1.55 inference(modus_ponens,[status(thm)],[8369, 8368])).
% 1.55/1.56 tff(8371,plain,
% 1.55/1.56 ($false),
% 1.55/1.56 inference(unit_resolution,[status(thm)],[8370, 6884, 8364, 7552, 7542, 6874])).
% 1.55/1.56 % SZS output end Proof
%------------------------------------------------------------------------------