TSTP Solution File: SWV424-1.050 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV424-1.050 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 15:16:54 EDT 2022
% Result : Unsatisfiable 0.50s 0.57s
% Output : Proof 1.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV424-1.050 : TPTP v8.1.0. Released v3.5.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 03:44:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.50/0.57 % SZS status Unsatisfiable
% 0.50/0.57 % SZS output start Proof
% 0.50/0.57 tff(node2_type, type, (
% 0.50/0.57 node2: ( $i * $i ) > $o)).
% 0.50/0.57 tff(s8_type, type, (
% 0.50/0.57 s8: $i)).
% 0.50/0.57 tff(s49_type, type, (
% 0.50/0.57 s49: $i)).
% 0.50/0.57 tff(trans_type, type, (
% 0.50/0.57 trans: ( $i * $i ) > $o)).
% 0.50/0.57 tff(s3_type, type, (
% 0.50/0.57 s3: $i)).
% 0.50/0.57 tff(m_main_v_request_type, type, (
% 0.50/0.57 m_main_v_request: $i > $o)).
% 0.50/0.57 tff(node4_type, type, (
% 0.50/0.57 node4: $i > $o)).
% 0.50/0.57 tff(s0_type, type, (
% 0.50/0.57 s0: $i)).
% 0.50/0.57 tff(m_main_v_state_type, type, (
% 0.50/0.57 m_main_v_state: ( $i * $i ) > $o)).
% 0.50/0.57 tff(c_busy_type, type, (
% 0.50/0.57 c_busy: $i)).
% 0.50/0.57 tff(s1_type, type, (
% 0.50/0.57 s1: $i)).
% 0.50/0.57 tff(succ_type, type, (
% 0.50/0.57 succ: ( $i * $i ) > $o)).
% 0.50/0.57 tff(c_ready_type, type, (
% 0.50/0.57 c_ready: $i)).
% 0.50/0.57 tff(always3_type, type, (
% 0.50/0.57 always3: $i > $o)).
% 0.50/0.57 tff(s10_type, type, (
% 0.50/0.57 s10: $i)).
% 0.50/0.57 tff(s11_type, type, (
% 0.50/0.57 s11: $i)).
% 0.50/0.57 tff(s9_type, type, (
% 0.50/0.57 s9: $i)).
% 0.50/0.57 tff(s2_type, type, (
% 0.50/0.57 s2: $i)).
% 0.50/0.57 tff(s36_type, type, (
% 0.50/0.57 s36: $i)).
% 0.50/0.57 tff(s37_type, type, (
% 0.50/0.57 s37: $i)).
% 0.50/0.57 tff(s17_type, type, (
% 0.50/0.57 s17: $i)).
% 0.50/0.57 tff(s18_type, type, (
% 0.50/0.57 s18: $i)).
% 0.50/0.57 tff(s21_type, type, (
% 0.50/0.57 s21: $i)).
% 0.50/0.57 tff(s22_type, type, (
% 0.50/0.57 s22: $i)).
% 0.50/0.57 tff(s12_type, type, (
% 0.50/0.57 s12: $i)).
% 0.50/0.57 tff(s19_type, type, (
% 0.50/0.57 s19: $i)).
% 0.50/0.57 tff(s24_type, type, (
% 0.50/0.57 s24: $i)).
% 0.50/0.57 tff(s25_type, type, (
% 0.50/0.57 s25: $i)).
% 0.50/0.57 tff(s20_type, type, (
% 0.50/0.57 s20: $i)).
% 0.50/0.57 tff(s31_type, type, (
% 0.50/0.57 s31: $i)).
% 0.50/0.57 tff(s32_type, type, (
% 0.50/0.57 s32: $i)).
% 0.50/0.57 tff(s30_type, type, (
% 0.50/0.57 s30: $i)).
% 0.50/0.57 tff(s29_type, type, (
% 0.50/0.57 s29: $i)).
% 0.50/0.57 tff(s4_type, type, (
% 0.50/0.57 s4: $i)).
% 0.50/0.57 tff(s5_type, type, (
% 0.50/0.57 s5: $i)).
% 0.50/0.57 tff(s6_type, type, (
% 0.50/0.57 s6: $i)).
% 0.50/0.57 tff(s7_type, type, (
% 0.50/0.57 s7: $i)).
% 0.50/0.57 tff(s13_type, type, (
% 0.50/0.57 s13: $i)).
% 0.50/0.57 tff(s14_type, type, (
% 0.50/0.57 s14: $i)).
% 0.50/0.57 tff(s15_type, type, (
% 0.50/0.57 s15: $i)).
% 0.50/0.57 tff(s16_type, type, (
% 0.50/0.57 s16: $i)).
% 0.50/0.57 tff(s23_type, type, (
% 0.50/0.57 s23: $i)).
% 0.50/0.57 tff(s26_type, type, (
% 0.50/0.57 s26: $i)).
% 0.50/0.57 tff(s27_type, type, (
% 0.50/0.57 s27: $i)).
% 0.50/0.57 tff(s28_type, type, (
% 0.50/0.57 s28: $i)).
% 0.50/0.57 tff(s43_type, type, (
% 0.50/0.57 s43: $i)).
% 0.50/0.57 tff(s44_type, type, (
% 0.50/0.57 s44: $i)).
% 0.50/0.57 tff(s45_type, type, (
% 0.50/0.57 s45: $i)).
% 0.50/0.57 tff(s33_type, type, (
% 0.50/0.57 s33: $i)).
% 0.50/0.57 tff(s34_type, type, (
% 0.50/0.57 s34: $i)).
% 0.50/0.57 tff(s35_type, type, (
% 0.50/0.57 s35: $i)).
% 0.50/0.57 tff(s38_type, type, (
% 0.50/0.57 s38: $i)).
% 0.50/0.57 tff(s39_type, type, (
% 0.50/0.57 s39: $i)).
% 0.50/0.57 tff(s40_type, type, (
% 0.50/0.57 s40: $i)).
% 0.50/0.57 tff(s41_type, type, (
% 0.50/0.57 s41: $i)).
% 0.50/0.57 tff(s42_type, type, (
% 0.50/0.57 s42: $i)).
% 0.50/0.57 tff(xuntil6_type, type, (
% 0.50/0.57 xuntil6: $i > $o)).
% 0.50/0.57 tff(until5_type, type, (
% 0.50/0.57 until5: $i > $o)).
% 0.50/0.57 tff(s46_type, type, (
% 0.50/0.57 s46: $i)).
% 0.50/0.57 tff(s47_type, type, (
% 0.50/0.57 s47: $i)).
% 0.50/0.57 tff(s48_type, type, (
% 0.50/0.57 s48: $i)).
% 0.50/0.57 tff(until2p7_type, type, (
% 0.50/0.57 until2p7: $i > $o)).
% 0.50/0.57 tff(xuntil2p8_type, type, (
% 0.50/0.57 xuntil2p8: $i > $o)).
% 0.50/0.57 tff(last_type, type, (
% 0.50/0.57 last: $i > $o)).
% 0.50/0.57 tff(loop_type, type, (
% 0.50/0.57 loop: $o)).
% 0.50/0.57 tff(node1_type, type, (
% 0.50/0.57 node1: $i > $o)).
% 0.50/0.57 tff(1,plain,
% 0.50/0.57 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(2,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[1])).
% 0.50/0.57 tff(3,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 0.50/0.57 tff(5,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.50/0.57 tff(6,plain,(
% 0.50/0.57 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.50/0.57 inference(skolemize,[status(sab)],[5])).
% 0.50/0.57 tff(7,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.50/0.57 tff(8,assumption,(trans(s49, s3)), introduced(assumption)).
% 0.50/0.57 tff(9,plain,
% 0.50/0.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s3)) | node2(s49, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s3)) | node2(s49, s3))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(10,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s3)) | node2(s49, s3))),
% 0.50/0.57 inference(quant_inst,[status(thm)],[])).
% 0.50/0.57 tff(11,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s3)) | node2(s49, s3)),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.50/0.57 tff(12,plain,
% 0.50/0.57 (node2(s49, s3)),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[11, 8, 7])).
% 0.50/0.57 tff(13,assumption,(node4(s0)), introduced(assumption)).
% 0.50/0.57 tff(14,plain,
% 0.50/0.57 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(15,plain,
% 0.50/0.57 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[14])).
% 0.50/0.57 tff(16,plain,
% 0.50/0.57 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(17,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 0.50/0.57 tff(18,plain,
% 0.50/0.57 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.50/0.57 tff(19,plain,(
% 0.50/0.57 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.50/0.57 inference(skolemize,[status(sab)],[18])).
% 0.50/0.57 tff(20,plain,
% 0.50/0.57 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.50/0.57 tff(21,plain,
% 0.50/0.57 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0)))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(22,plain,
% 0.50/0.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 0.50/0.57 inference(quant_inst,[status(thm)],[])).
% 0.50/0.57 tff(23,plain,
% 0.50/0.57 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.50/0.57 tff(24,plain,
% 0.50/0.57 (m_main_v_request(s0)),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[23, 20, 13])).
% 0.50/0.57 tff(25,plain,
% 0.50/0.57 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(26,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[25])).
% 0.50/0.57 tff(27,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(28,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound51')).
% 0.50/0.57 tff(29,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.50/0.57 tff(30,plain,(
% 0.50/0.57 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.50/0.57 inference(skolemize,[status(sab)],[29])).
% 0.50/0.57 tff(31,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.50/0.57 tff(32,plain,
% 0.50/0.57 (succ(s0, s1) <=> succ(s0, s1)),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(33,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 0.50/0.57 tff(34,plain,
% 0.50/0.57 (succ(s0, s1)),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.50/0.57 tff(35,plain,
% 0.50/0.57 (((~![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))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(36,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 0.50/0.57 inference(quant_inst,[status(thm)],[])).
% 0.50/0.57 tff(37,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.50/0.57 tff(38,plain,
% 0.50/0.57 (trans(s0, s1)),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[37, 34, 31])).
% 0.50/0.57 tff(39,plain,
% 0.50/0.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(40,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 0.50/0.57 inference(quant_inst,[status(thm)],[])).
% 0.50/0.57 tff(41,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.50/0.57 tff(42,plain,
% 0.50/0.57 (node2(s0, s1)),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[41, 7, 38])).
% 0.50/0.57 tff(43,plain,
% 0.50/0.57 (^[Y: $i, X: $i] : refl(((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(44,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[43])).
% 0.50/0.57 tff(45,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(46,plain,
% 0.50/0.57 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) <=> ((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X)))), ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) <=> (((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)))), rewrite((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) <=> ((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))), ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) <=> ((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))))), (((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> (((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) | (~node2(X, Y))))), rewrite((((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) | (~node2(X, Y))) <=> ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))), (((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(47,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[46])).
% 0.50/0.57 tff(48,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 0.50/0.57 tff(49,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.50/0.57 tff(50,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.50/0.57 tff(51,plain,(
% 0.50/0.57 ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(skolemize,[status(sab)],[50])).
% 0.50/0.57 tff(52,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[51, 44])).
% 0.50/0.57 tff(53,plain,
% 0.50/0.57 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(54,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 0.50/0.57 tff(55,plain,
% 0.50/0.57 (m_main_v_state(s0, c_ready)),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.50/0.57 tff(56,plain,
% 0.50/0.57 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(57,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 0.50/0.57 inference(quant_inst,[status(thm)],[])).
% 0.50/0.57 tff(58,plain,
% 0.50/0.57 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.50/0.57 tff(59,plain,
% 0.50/0.57 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[58, 55, 52, 42])).
% 0.50/0.57 tff(60,plain,
% 0.50/0.57 (m_main_v_state(s1, c_busy)),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[59, 24])).
% 0.50/0.57 tff(61,plain,
% 0.50/0.57 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(62,plain,
% 0.50/0.57 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[61])).
% 0.50/0.57 tff(63,plain,
% 0.50/0.57 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(64,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 0.50/0.57 tff(65,plain,
% 0.50/0.57 (![X: $i] : (always3(X) | (~node4(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.50/0.57 tff(66,plain,(
% 0.50/0.57 ![X: $i] : (always3(X) | (~node4(X)))),
% 0.50/0.57 inference(skolemize,[status(sab)],[65])).
% 0.50/0.57 tff(67,plain,
% 0.50/0.57 (![X: $i] : (always3(X) | (~node4(X)))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.50/0.57 tff(68,plain,
% 0.50/0.57 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0)))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(69,plain,
% 0.50/0.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))),
% 0.50/0.57 inference(quant_inst,[status(thm)],[])).
% 0.50/0.57 tff(70,plain,
% 0.50/0.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0))),
% 0.50/0.57 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.50/0.57 tff(71,plain,
% 0.50/0.57 (always3(s0)),
% 0.50/0.57 inference(unit_resolution,[status(thm)],[70, 67, 13])).
% 0.50/0.57 tff(72,plain,
% 0.50/0.57 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(73,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[72])).
% 0.50/0.57 tff(74,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.57 inference(rewrite,[status(thm)],[])).
% 0.50/0.57 tff(75,plain,
% 0.50/0.57 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 0.50/0.57 inference(bind,[status(th)],[])).
% 0.50/0.57 tff(76,plain,
% 0.50/0.57 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.57 inference(quant_intro,[status(thm)],[75])).
% 0.50/0.58 tff(77,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 0.50/0.58 tff(78,plain,
% 0.50/0.58 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.50/0.58 tff(79,plain,
% 0.50/0.58 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.50/0.58 tff(80,plain,(
% 0.50/0.58 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.58 inference(skolemize,[status(sab)],[79])).
% 0.50/0.58 tff(81,plain,
% 0.50/0.58 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[80, 73])).
% 0.50/0.58 tff(82,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(83,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(84,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.50/0.58 tff(85,plain,
% 0.50/0.58 ((~always3(s0)) | always3(s1)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[84, 81, 38])).
% 0.50/0.58 tff(86,plain,
% 0.50/0.58 (always3(s1)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[85, 71])).
% 0.50/0.58 tff(87,plain,
% 0.50/0.58 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 0.50/0.58 inference(bind,[status(th)],[])).
% 0.50/0.58 tff(88,plain,
% 0.50/0.58 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.50/0.58 inference(quant_intro,[status(thm)],[87])).
% 0.50/0.58 tff(89,plain,
% 0.50/0.58 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(90,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 0.50/0.58 tff(91,plain,
% 0.50/0.58 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.50/0.58 tff(92,plain,(
% 0.50/0.58 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.50/0.58 inference(skolemize,[status(sab)],[91])).
% 0.50/0.58 tff(93,plain,
% 0.50/0.58 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[92, 88])).
% 0.50/0.58 tff(94,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(95,plain,
% 0.50/0.58 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(96,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s1)) | (~m_main_v_state(s1, c_busy))))),
% 0.50/0.58 inference(monotonicity,[status(thm)],[95])).
% 0.50/0.58 tff(97,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 0.50/0.58 inference(transitivity,[status(thm)],[96, 94])).
% 0.50/0.58 tff(98,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(99,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.50/0.58 tff(100,plain,
% 0.50/0.58 ($false),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[99, 93, 86, 60])).
% 0.50/0.58 tff(101,plain,(~node4(s0)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.58 tff(102,assumption,(node4(s10)), introduced(assumption)).
% 0.50/0.58 tff(103,plain,
% 0.50/0.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(104,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(105,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.50/0.58 tff(106,plain,
% 0.50/0.58 (m_main_v_request(s10)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[105, 20, 102])).
% 0.50/0.58 tff(107,plain,
% 0.50/0.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(108,plain,
% 0.50/0.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(109,plain,
% 0.50/0.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.50/0.58 tff(110,plain,
% 0.50/0.58 (always3(s10)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[109, 67, 102])).
% 0.50/0.58 tff(111,plain,
% 0.50/0.58 (succ(s10, s11) <=> succ(s10, s11)),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(112,axiom,(succ(s10, s11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 0.50/0.58 tff(113,plain,
% 0.50/0.58 (succ(s10, s11)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.50/0.58 tff(114,plain,
% 0.50/0.58 (((~![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))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(115,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(116,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.50/0.58 tff(117,plain,
% 0.50/0.58 (trans(s10, s11)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[116, 113, 31])).
% 0.50/0.58 tff(118,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(119,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(120,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.50/0.58 tff(121,plain,
% 0.50/0.58 ((~always3(s10)) | always3(s11)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[120, 81, 117])).
% 0.50/0.58 tff(122,plain,
% 0.50/0.58 (always3(s11)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[121, 110])).
% 0.50/0.58 tff(123,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(124,plain,
% 0.50/0.58 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(125,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s11)) | (~m_main_v_state(s11, c_busy))))),
% 0.50/0.58 inference(monotonicity,[status(thm)],[124])).
% 0.50/0.58 tff(126,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 0.50/0.58 inference(transitivity,[status(thm)],[125, 123])).
% 0.50/0.58 tff(127,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(128,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.50/0.58 tff(129,plain,
% 0.50/0.58 (~m_main_v_state(s11, c_busy)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[128, 93, 122])).
% 0.50/0.58 tff(130,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(131,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(132,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.50/0.58 tff(133,plain,
% 0.50/0.58 (node2(s10, s11)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[132, 7, 117])).
% 0.50/0.58 tff(134,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(135,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(136,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.50/0.58 tff(137,plain,
% 0.50/0.58 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[136, 52, 133])).
% 0.50/0.58 tff(138,plain,
% 0.50/0.58 (~m_main_v_state(s10, c_ready)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[137, 129, 106])).
% 0.50/0.58 tff(139,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(140,plain,
% 0.50/0.58 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(141,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s10)) | (~m_main_v_state(s10, c_busy))))),
% 0.50/0.58 inference(monotonicity,[status(thm)],[140])).
% 0.50/0.58 tff(142,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 0.50/0.58 inference(transitivity,[status(thm)],[141, 139])).
% 0.50/0.58 tff(143,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(144,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.50/0.58 tff(145,plain,
% 0.50/0.58 (~m_main_v_state(s10, c_busy)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[144, 93, 110])).
% 0.50/0.58 tff(146,plain,
% 0.50/0.58 (^[X: $i] : refl((m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)) <=> (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)))),
% 0.50/0.58 inference(bind,[status(th)],[])).
% 0.50/0.58 tff(147,plain,
% 0.50/0.58 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)) <=> ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(quant_intro,[status(thm)],[146])).
% 0.50/0.58 tff(148,plain,
% 0.50/0.58 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)) <=> ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(149,plain,
% 0.50/0.58 (^[X: $i] : rewrite((m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy)) <=> (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)))),
% 0.50/0.58 inference(bind,[status(th)],[])).
% 0.50/0.58 tff(150,plain,
% 0.50/0.58 (![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy)) <=> ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(quant_intro,[status(thm)],[149])).
% 0.50/0.58 tff(151,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_1')).
% 0.50/0.58 tff(152,plain,
% 0.50/0.58 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.50/0.58 tff(153,plain,
% 0.50/0.58 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[152, 148])).
% 0.50/0.58 tff(154,plain,(
% 0.50/0.58 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(skolemize,[status(sab)],[153])).
% 0.50/0.58 tff(155,plain,
% 0.50/0.58 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[154, 147])).
% 0.50/0.58 tff(156,plain,
% 0.50/0.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(157,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(158,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.50/0.58 tff(159,plain,
% 0.50/0.58 ($false),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[158, 155, 145, 138])).
% 0.50/0.58 tff(160,plain,(~node4(s10)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.58 tff(161,assumption,(node4(s9)), introduced(assumption)).
% 0.50/0.58 tff(162,plain,
% 0.50/0.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(163,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(164,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.50/0.58 tff(165,plain,
% 0.50/0.58 (m_main_v_request(s9)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[164, 20, 161])).
% 0.50/0.58 tff(166,plain,
% 0.50/0.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(167,plain,
% 0.50/0.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(168,plain,
% 0.50/0.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.50/0.58 tff(169,plain,
% 0.50/0.58 (always3(s9)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[168, 67, 161])).
% 0.50/0.58 tff(170,plain,
% 0.50/0.58 (succ(s9, s10) <=> succ(s9, s10)),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(171,axiom,(succ(s9, s10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 0.50/0.58 tff(172,plain,
% 0.50/0.58 (succ(s9, s10)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[171, 170])).
% 0.50/0.58 tff(173,plain,
% 0.50/0.58 (((~![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))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(174,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(175,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.50/0.58 tff(176,plain,
% 0.50/0.58 (trans(s9, s10)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[175, 172, 31])).
% 0.50/0.58 tff(177,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(178,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(179,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.50/0.58 tff(180,plain,
% 0.50/0.58 ((~always3(s9)) | always3(s10)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[179, 81, 176])).
% 0.50/0.58 tff(181,plain,
% 0.50/0.58 (always3(s10)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[180, 169])).
% 0.50/0.58 tff(182,plain,
% 0.50/0.58 (~m_main_v_state(s10, c_busy)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[144, 93, 181])).
% 0.50/0.58 tff(183,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(184,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(185,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.50/0.58 tff(186,plain,
% 0.50/0.58 (node2(s9, s10)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[185, 7, 176])).
% 0.50/0.58 tff(187,plain,
% 0.50/0.58 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(188,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(189,plain,
% 0.50/0.58 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.50/0.58 tff(190,plain,
% 0.50/0.58 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[189, 52, 186])).
% 0.50/0.58 tff(191,plain,
% 0.50/0.58 (~m_main_v_state(s9, c_ready)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[190, 182, 165])).
% 0.50/0.58 tff(192,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(193,plain,
% 0.50/0.58 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(194,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s9)) | (~m_main_v_state(s9, c_busy))))),
% 0.50/0.58 inference(monotonicity,[status(thm)],[193])).
% 0.50/0.58 tff(195,plain,
% 0.50/0.58 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 0.50/0.58 inference(transitivity,[status(thm)],[194, 192])).
% 0.50/0.58 tff(196,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(197,plain,
% 0.50/0.58 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.50/0.58 tff(198,plain,
% 0.50/0.58 (~m_main_v_state(s9, c_busy)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[197, 93, 169])).
% 0.50/0.58 tff(199,plain,
% 0.50/0.58 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(200,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(201,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready)),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.50/0.58 tff(202,plain,
% 0.50/0.58 ($false),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[201, 155, 198, 191])).
% 0.50/0.58 tff(203,plain,(~node4(s9)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.58 tff(204,assumption,(node4(s1)), introduced(assumption)).
% 0.50/0.58 tff(205,plain,
% 0.50/0.58 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(206,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(207,plain,
% 0.50/0.58 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.50/0.58 tff(208,plain,
% 0.50/0.58 (m_main_v_request(s1)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[207, 20, 204])).
% 0.50/0.58 tff(209,plain,
% 0.50/0.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 0.50/0.58 inference(rewrite,[status(thm)],[])).
% 0.50/0.58 tff(210,plain,
% 0.50/0.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 0.50/0.58 inference(quant_inst,[status(thm)],[])).
% 0.50/0.58 tff(211,plain,
% 0.50/0.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 0.50/0.58 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.50/0.58 tff(212,plain,
% 0.50/0.58 (always3(s1)),
% 0.50/0.58 inference(unit_resolution,[status(thm)],[211, 67, 204])).
% 0.50/0.59 tff(213,plain,
% 0.50/0.59 (succ(s1, s2) <=> succ(s1, s2)),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(214,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 0.50/0.59 tff(215,plain,
% 0.50/0.59 (succ(s1, s2)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.50/0.59 tff(216,plain,
% 0.50/0.59 (((~![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))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(217,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(218,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.50/0.59 tff(219,plain,
% 0.50/0.59 (trans(s1, s2)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[218, 215, 31])).
% 0.50/0.59 tff(220,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(221,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(222,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.50/0.59 tff(223,plain,
% 0.50/0.59 ((~always3(s1)) | always3(s2)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[222, 81, 219])).
% 0.50/0.59 tff(224,plain,
% 0.50/0.59 (always3(s2)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[223, 212])).
% 0.50/0.59 tff(225,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(226,plain,
% 0.50/0.59 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(227,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s2)) | (~m_main_v_state(s2, c_busy))))),
% 0.50/0.59 inference(monotonicity,[status(thm)],[226])).
% 0.50/0.59 tff(228,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 0.50/0.59 inference(transitivity,[status(thm)],[227, 225])).
% 0.50/0.59 tff(229,plain,
% 0.50/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(230,plain,
% 0.50/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.50/0.59 tff(231,plain,
% 0.50/0.59 (~m_main_v_state(s2, c_busy)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[230, 93, 224])).
% 0.50/0.59 tff(232,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(233,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(234,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.50/0.59 tff(235,plain,
% 0.50/0.59 (node2(s1, s2)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[234, 7, 219])).
% 0.50/0.59 tff(236,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(237,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(238,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.50/0.59 tff(239,plain,
% 0.50/0.59 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[238, 52, 235])).
% 0.50/0.59 tff(240,plain,
% 0.50/0.59 (~m_main_v_state(s1, c_ready)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[239, 231, 208])).
% 0.50/0.59 tff(241,plain,
% 0.50/0.59 (~m_main_v_state(s1, c_busy)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[99, 93, 212])).
% 0.50/0.59 tff(242,plain,
% 0.50/0.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(243,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(244,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.50/0.59 tff(245,plain,
% 0.50/0.59 ($false),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[244, 155, 241, 240])).
% 0.50/0.59 tff(246,plain,(~node4(s1)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.59 tff(247,assumption,(node4(s36)), introduced(assumption)).
% 0.50/0.59 tff(248,plain,
% 0.50/0.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(249,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(250,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.50/0.59 tff(251,plain,
% 0.50/0.59 (m_main_v_request(s36)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[250, 20, 247])).
% 0.50/0.59 tff(252,plain,
% 0.50/0.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(253,plain,
% 0.50/0.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(254,plain,
% 0.50/0.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.50/0.59 tff(255,plain,
% 0.50/0.59 (always3(s36)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[254, 67, 247])).
% 0.50/0.59 tff(256,plain,
% 0.50/0.59 (succ(s36, s37) <=> succ(s36, s37)),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(257,axiom,(succ(s36, s37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound37')).
% 0.50/0.59 tff(258,plain,
% 0.50/0.59 (succ(s36, s37)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.50/0.59 tff(259,plain,
% 0.50/0.59 (((~![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))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(260,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(261,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.50/0.59 tff(262,plain,
% 0.50/0.59 (trans(s36, s37)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[261, 258, 31])).
% 0.50/0.59 tff(263,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(264,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(265,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.50/0.59 tff(266,plain,
% 0.50/0.59 ((~always3(s36)) | always3(s37)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[265, 81, 262])).
% 0.50/0.59 tff(267,plain,
% 0.50/0.59 (always3(s37)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[266, 255])).
% 0.50/0.59 tff(268,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(269,plain,
% 0.50/0.59 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(270,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s37)) | (~m_main_v_state(s37, c_busy))))),
% 0.50/0.59 inference(monotonicity,[status(thm)],[269])).
% 0.50/0.59 tff(271,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 0.50/0.59 inference(transitivity,[status(thm)],[270, 268])).
% 0.50/0.59 tff(272,plain,
% 0.50/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(273,plain,
% 0.50/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.50/0.59 tff(274,plain,
% 0.50/0.59 (~m_main_v_state(s37, c_busy)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[273, 93, 267])).
% 0.50/0.59 tff(275,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(276,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(277,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.50/0.59 tff(278,plain,
% 0.50/0.59 (node2(s36, s37)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[277, 7, 262])).
% 0.50/0.59 tff(279,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(280,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(281,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.50/0.59 tff(282,plain,
% 0.50/0.59 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[281, 52, 278])).
% 0.50/0.59 tff(283,plain,
% 0.50/0.59 (~m_main_v_state(s36, c_ready)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[282, 274, 251])).
% 0.50/0.59 tff(284,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(285,plain,
% 0.50/0.59 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(286,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s36)) | (~m_main_v_state(s36, c_busy))))),
% 0.50/0.59 inference(monotonicity,[status(thm)],[285])).
% 0.50/0.59 tff(287,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 0.50/0.59 inference(transitivity,[status(thm)],[286, 284])).
% 0.50/0.59 tff(288,plain,
% 0.50/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(289,plain,
% 0.50/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.50/0.59 tff(290,plain,
% 0.50/0.59 (~m_main_v_state(s36, c_busy)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[289, 93, 255])).
% 0.50/0.59 tff(291,plain,
% 0.50/0.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(292,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(293,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.50/0.59 tff(294,plain,
% 0.50/0.59 ($false),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[293, 155, 290, 283])).
% 0.50/0.59 tff(295,plain,(~node4(s36)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.59 tff(296,assumption,(node4(s17)), introduced(assumption)).
% 0.50/0.59 tff(297,plain,
% 0.50/0.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(298,plain,
% 0.50/0.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(299,plain,
% 0.50/0.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.50/0.59 tff(300,plain,
% 0.50/0.59 (always3(s17)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[299, 67, 296])).
% 0.50/0.59 tff(301,assumption,(~m_main_v_state(s18, c_busy)), introduced(assumption)).
% 0.50/0.59 tff(302,plain,
% 0.50/0.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(303,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(304,plain,
% 0.50/0.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.50/0.59 tff(305,plain,
% 0.50/0.59 (m_main_v_request(s17)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[304, 20, 296])).
% 0.50/0.59 tff(306,plain,
% 0.50/0.59 (succ(s17, s18) <=> succ(s17, s18)),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(307,axiom,(succ(s17, s18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound18')).
% 0.50/0.59 tff(308,plain,
% 0.50/0.59 (succ(s17, s18)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.50/0.59 tff(309,plain,
% 0.50/0.59 (((~![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))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(310,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(311,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.50/0.59 tff(312,plain,
% 0.50/0.59 (trans(s17, s18)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[311, 308, 31])).
% 0.50/0.59 tff(313,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(314,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(315,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.50/0.59 tff(316,plain,
% 0.50/0.59 (node2(s17, s18)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[315, 7, 312])).
% 0.50/0.59 tff(317,plain,
% 0.50/0.59 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(318,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(319,plain,
% 0.50/0.59 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.50/0.59 tff(320,plain,
% 0.50/0.59 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[319, 52, 316])).
% 0.50/0.59 tff(321,plain,
% 0.50/0.59 (~m_main_v_state(s17, c_ready)),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[320, 305, 301])).
% 0.50/0.59 tff(322,plain,
% 0.50/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 0.54/0.59 inference(rewrite,[status(thm)],[])).
% 0.54/0.59 tff(323,plain,
% 0.54/0.59 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 0.54/0.59 inference(rewrite,[status(thm)],[])).
% 0.54/0.59 tff(324,plain,
% 0.54/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s17)) | (~m_main_v_state(s17, c_busy))))),
% 0.54/0.59 inference(monotonicity,[status(thm)],[323])).
% 0.54/0.59 tff(325,plain,
% 0.54/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 0.54/0.59 inference(transitivity,[status(thm)],[324, 322])).
% 0.54/0.59 tff(326,plain,
% 0.54/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 0.54/0.59 inference(quant_inst,[status(thm)],[])).
% 0.54/0.59 tff(327,plain,
% 0.54/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 0.54/0.59 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.54/0.59 tff(328,plain,
% 0.54/0.59 (~m_main_v_state(s17, c_busy)),
% 0.54/0.59 inference(unit_resolution,[status(thm)],[327, 93, 300])).
% 0.54/0.59 tff(329,plain,
% 0.54/0.59 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready))),
% 0.54/0.59 inference(rewrite,[status(thm)],[])).
% 0.54/0.59 tff(330,plain,
% 0.54/0.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready))),
% 0.54/0.59 inference(quant_inst,[status(thm)],[])).
% 0.54/0.59 tff(331,plain,
% 0.54/0.59 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready)),
% 0.54/0.59 inference(modus_ponens,[status(thm)],[330, 329])).
% 0.54/0.59 tff(332,plain,
% 0.54/0.59 ($false),
% 0.54/0.59 inference(unit_resolution,[status(thm)],[331, 155, 328, 321])).
% 0.54/0.59 tff(333,plain,((~node4(s17)) | m_main_v_state(s18, c_busy)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.59 tff(334,plain,
% 0.54/0.59 (m_main_v_state(s18, c_busy)),
% 0.54/0.59 inference(unit_resolution,[status(thm)],[333, 296])).
% 0.54/0.59 tff(335,plain,
% 0.54/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 0.54/0.59 inference(rewrite,[status(thm)],[])).
% 0.54/0.59 tff(336,plain,
% 0.54/0.59 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 0.54/0.59 inference(rewrite,[status(thm)],[])).
% 0.54/0.59 tff(337,plain,
% 0.54/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s18)) | (~m_main_v_state(s18, c_busy))))),
% 0.54/0.59 inference(monotonicity,[status(thm)],[336])).
% 0.54/0.59 tff(338,plain,
% 0.54/0.59 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 0.54/0.59 inference(transitivity,[status(thm)],[337, 335])).
% 0.54/0.59 tff(339,plain,
% 0.54/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 0.54/0.59 inference(quant_inst,[status(thm)],[])).
% 0.54/0.59 tff(340,plain,
% 0.54/0.59 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 0.54/0.59 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.54/0.59 tff(341,plain,
% 0.54/0.59 (~always3(s18)),
% 0.54/0.59 inference(unit_resolution,[status(thm)],[340, 93, 334])).
% 0.54/0.60 tff(342,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(343,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(344,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.54/0.60 tff(345,plain,
% 0.54/0.60 ((~always3(s17)) | always3(s18)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[344, 81, 312])).
% 0.54/0.60 tff(346,plain,
% 0.54/0.60 ($false),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[345, 341, 300])).
% 0.54/0.60 tff(347,plain,(~node4(s17)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.60 tff(348,assumption,(node4(s21)), introduced(assumption)).
% 0.54/0.60 tff(349,plain,
% 0.54/0.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(350,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(351,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.54/0.60 tff(352,plain,
% 0.54/0.60 (m_main_v_request(s21)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[351, 20, 348])).
% 0.54/0.60 tff(353,plain,
% 0.54/0.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(354,plain,
% 0.54/0.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(355,plain,
% 0.54/0.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.54/0.60 tff(356,plain,
% 0.54/0.60 (always3(s21)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[355, 67, 348])).
% 0.54/0.60 tff(357,plain,
% 0.54/0.60 (succ(s21, s22) <=> succ(s21, s22)),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(358,axiom,(succ(s21, s22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound22')).
% 0.54/0.60 tff(359,plain,
% 0.54/0.60 (succ(s21, s22)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.54/0.60 tff(360,plain,
% 0.54/0.60 (((~![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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(361,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(362,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.54/0.60 tff(363,plain,
% 0.54/0.60 (trans(s21, s22)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[362, 359, 31])).
% 0.54/0.60 tff(364,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(365,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(366,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[365, 364])).
% 0.54/0.60 tff(367,plain,
% 0.54/0.60 ((~always3(s21)) | always3(s22)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[366, 81, 363])).
% 0.54/0.60 tff(368,plain,
% 0.54/0.60 (always3(s22)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[367, 356])).
% 0.54/0.60 tff(369,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(370,plain,
% 0.54/0.60 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(371,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s22)) | (~m_main_v_state(s22, c_busy))))),
% 0.54/0.60 inference(monotonicity,[status(thm)],[370])).
% 0.54/0.60 tff(372,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 0.54/0.60 inference(transitivity,[status(thm)],[371, 369])).
% 0.54/0.60 tff(373,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(374,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[373, 372])).
% 0.54/0.60 tff(375,plain,
% 0.54/0.60 (~m_main_v_state(s22, c_busy)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[374, 93, 368])).
% 0.54/0.60 tff(376,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(377,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(378,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[377, 376])).
% 0.54/0.60 tff(379,plain,
% 0.54/0.60 (node2(s21, s22)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[378, 7, 363])).
% 0.54/0.60 tff(380,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(381,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(382,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.54/0.60 tff(383,plain,
% 0.54/0.60 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[382, 52, 379])).
% 0.54/0.60 tff(384,plain,
% 0.54/0.60 (~m_main_v_state(s21, c_ready)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[383, 375, 352])).
% 0.54/0.60 tff(385,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(386,plain,
% 0.54/0.60 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(387,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s21)) | (~m_main_v_state(s21, c_busy))))),
% 0.54/0.60 inference(monotonicity,[status(thm)],[386])).
% 0.54/0.60 tff(388,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 0.54/0.60 inference(transitivity,[status(thm)],[387, 385])).
% 0.54/0.60 tff(389,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(390,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[389, 388])).
% 0.54/0.60 tff(391,plain,
% 0.54/0.60 (~m_main_v_state(s21, c_busy)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[390, 93, 356])).
% 0.54/0.60 tff(392,plain,
% 0.54/0.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(393,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(394,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.54/0.60 tff(395,plain,
% 0.54/0.60 ($false),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[394, 155, 391, 384])).
% 0.54/0.60 tff(396,plain,(~node4(s21)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.60 tff(397,assumption,(node4(s11)), introduced(assumption)).
% 0.54/0.60 tff(398,plain,
% 0.54/0.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(399,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(400,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[399, 398])).
% 0.54/0.60 tff(401,plain,
% 0.54/0.60 (m_main_v_request(s11)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[400, 20, 397])).
% 0.54/0.60 tff(402,plain,
% 0.54/0.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(403,plain,
% 0.54/0.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(404,plain,
% 0.54/0.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.54/0.60 tff(405,plain,
% 0.54/0.60 (always3(s11)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[404, 67, 397])).
% 0.54/0.60 tff(406,plain,
% 0.54/0.60 (succ(s11, s12) <=> succ(s11, s12)),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(407,axiom,(succ(s11, s12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 0.54/0.60 tff(408,plain,
% 0.54/0.60 (succ(s11, s12)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[407, 406])).
% 0.54/0.60 tff(409,plain,
% 0.54/0.60 (((~![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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(410,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(411,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[410, 409])).
% 0.54/0.60 tff(412,plain,
% 0.54/0.60 (trans(s11, s12)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[411, 408, 31])).
% 0.54/0.60 tff(413,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(414,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(415,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[414, 413])).
% 0.54/0.60 tff(416,plain,
% 0.54/0.60 ((~always3(s11)) | always3(s12)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[415, 81, 412])).
% 0.54/0.60 tff(417,plain,
% 0.54/0.60 (always3(s12)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[416, 405])).
% 0.54/0.60 tff(418,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(419,plain,
% 0.54/0.60 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(420,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s12)) | (~m_main_v_state(s12, c_busy))))),
% 0.54/0.60 inference(monotonicity,[status(thm)],[419])).
% 0.54/0.60 tff(421,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 0.54/0.60 inference(transitivity,[status(thm)],[420, 418])).
% 0.54/0.60 tff(422,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(423,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[422, 421])).
% 0.54/0.60 tff(424,plain,
% 0.54/0.60 (~m_main_v_state(s12, c_busy)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[423, 93, 417])).
% 0.54/0.60 tff(425,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(426,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(427,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[426, 425])).
% 0.54/0.60 tff(428,plain,
% 0.54/0.60 (node2(s11, s12)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[427, 7, 412])).
% 0.54/0.60 tff(429,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(430,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(431,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[430, 429])).
% 0.54/0.60 tff(432,plain,
% 0.54/0.60 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[431, 52, 428])).
% 0.54/0.60 tff(433,plain,
% 0.54/0.60 (~m_main_v_state(s11, c_ready)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[432, 424, 401])).
% 0.54/0.60 tff(434,plain,
% 0.54/0.60 (~m_main_v_state(s11, c_busy)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[128, 93, 405])).
% 0.54/0.60 tff(435,plain,
% 0.54/0.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(436,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(437,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.54/0.60 tff(438,plain,
% 0.54/0.60 ($false),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[437, 155, 434, 433])).
% 0.54/0.60 tff(439,plain,(~node4(s11)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.60 tff(440,assumption,(node4(s18)), introduced(assumption)).
% 0.54/0.60 tff(441,plain,
% 0.54/0.60 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(442,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(443,plain,
% 0.54/0.60 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[442, 441])).
% 0.54/0.60 tff(444,plain,
% 0.54/0.60 (m_main_v_request(s18)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[443, 20, 440])).
% 0.54/0.60 tff(445,plain,
% 0.54/0.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(446,plain,
% 0.54/0.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(447,plain,
% 0.54/0.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[446, 445])).
% 0.54/0.60 tff(448,plain,
% 0.54/0.60 (always3(s18)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[447, 67, 440])).
% 0.54/0.60 tff(449,plain,
% 0.54/0.60 (succ(s18, s19) <=> succ(s18, s19)),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(450,axiom,(succ(s18, s19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound19')).
% 0.54/0.60 tff(451,plain,
% 0.54/0.60 (succ(s18, s19)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[450, 449])).
% 0.54/0.60 tff(452,plain,
% 0.54/0.60 (((~![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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(453,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(454,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[453, 452])).
% 0.54/0.60 tff(455,plain,
% 0.54/0.60 (trans(s18, s19)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[454, 451, 31])).
% 0.54/0.60 tff(456,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(457,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(458,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[457, 456])).
% 0.54/0.60 tff(459,plain,
% 0.54/0.60 ((~always3(s18)) | always3(s19)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[458, 81, 455])).
% 0.54/0.60 tff(460,plain,
% 0.54/0.60 (always3(s19)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[459, 448])).
% 0.54/0.60 tff(461,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(462,plain,
% 0.54/0.60 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(463,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s19)) | (~m_main_v_state(s19, c_busy))))),
% 0.54/0.60 inference(monotonicity,[status(thm)],[462])).
% 0.54/0.60 tff(464,plain,
% 0.54/0.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 0.54/0.60 inference(transitivity,[status(thm)],[463, 461])).
% 0.54/0.60 tff(465,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(466,plain,
% 0.54/0.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[465, 464])).
% 0.54/0.60 tff(467,plain,
% 0.54/0.60 (~m_main_v_state(s19, c_busy)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[466, 93, 460])).
% 0.54/0.60 tff(468,plain,
% 0.54/0.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(469,plain,
% 0.54/0.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(470,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[469, 468])).
% 0.54/0.61 tff(471,plain,
% 0.54/0.61 (node2(s18, s19)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[470, 7, 455])).
% 0.54/0.61 tff(472,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(473,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(474,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[473, 472])).
% 0.54/0.61 tff(475,plain,
% 0.54/0.61 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[474, 52, 471])).
% 0.54/0.61 tff(476,plain,
% 0.54/0.61 (~m_main_v_state(s18, c_ready)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[475, 467, 444])).
% 0.54/0.61 tff(477,plain,
% 0.54/0.61 (~m_main_v_state(s18, c_busy)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[340, 93, 448])).
% 0.54/0.61 tff(478,plain,
% 0.54/0.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(479,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(480,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[479, 478])).
% 0.54/0.61 tff(481,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[480, 155, 477, 476])).
% 0.54/0.61 tff(482,plain,(~node4(s18)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(483,assumption,(node4(s24)), introduced(assumption)).
% 0.54/0.61 tff(484,plain,
% 0.54/0.61 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(485,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(486,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[485, 484])).
% 0.54/0.61 tff(487,plain,
% 0.54/0.61 (m_main_v_request(s24)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[486, 20, 483])).
% 0.54/0.61 tff(488,plain,
% 0.54/0.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(489,plain,
% 0.54/0.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(490,plain,
% 0.54/0.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[489, 488])).
% 0.54/0.61 tff(491,plain,
% 0.54/0.61 (always3(s24)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[490, 67, 483])).
% 0.54/0.61 tff(492,plain,
% 0.54/0.61 (succ(s24, s25) <=> succ(s24, s25)),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(493,axiom,(succ(s24, s25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound25')).
% 0.54/0.61 tff(494,plain,
% 0.54/0.61 (succ(s24, s25)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[493, 492])).
% 0.54/0.61 tff(495,plain,
% 0.54/0.61 (((~![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))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(496,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(497,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[496, 495])).
% 0.54/0.61 tff(498,plain,
% 0.54/0.61 (trans(s24, s25)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[497, 494, 31])).
% 0.54/0.61 tff(499,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(500,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(501,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[500, 499])).
% 0.54/0.61 tff(502,plain,
% 0.54/0.61 ((~always3(s24)) | always3(s25)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[501, 81, 498])).
% 0.54/0.61 tff(503,plain,
% 0.54/0.61 (always3(s25)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[502, 491])).
% 0.54/0.61 tff(504,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(505,plain,
% 0.54/0.61 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(506,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s25)) | (~m_main_v_state(s25, c_busy))))),
% 0.54/0.61 inference(monotonicity,[status(thm)],[505])).
% 0.54/0.61 tff(507,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 0.54/0.61 inference(transitivity,[status(thm)],[506, 504])).
% 0.54/0.61 tff(508,plain,
% 0.54/0.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(509,plain,
% 0.54/0.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.54/0.61 tff(510,plain,
% 0.54/0.61 (~m_main_v_state(s25, c_busy)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[509, 93, 503])).
% 0.54/0.61 tff(511,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(512,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(513,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.54/0.61 tff(514,plain,
% 0.54/0.61 (node2(s24, s25)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[513, 7, 498])).
% 0.54/0.61 tff(515,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(516,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(517,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[516, 515])).
% 0.54/0.61 tff(518,plain,
% 0.54/0.61 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[517, 52, 514])).
% 0.54/0.61 tff(519,plain,
% 0.54/0.61 (~m_main_v_state(s24, c_ready)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[518, 510, 487])).
% 0.54/0.61 tff(520,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(521,plain,
% 0.54/0.61 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(522,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s24)) | (~m_main_v_state(s24, c_busy))))),
% 0.54/0.61 inference(monotonicity,[status(thm)],[521])).
% 0.54/0.61 tff(523,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 0.54/0.61 inference(transitivity,[status(thm)],[522, 520])).
% 0.54/0.61 tff(524,plain,
% 0.54/0.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(525,plain,
% 0.54/0.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.54/0.61 tff(526,plain,
% 0.54/0.61 (~m_main_v_state(s24, c_busy)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[525, 93, 491])).
% 0.54/0.61 tff(527,plain,
% 0.54/0.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(528,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(529,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[528, 527])).
% 0.54/0.61 tff(530,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[529, 155, 526, 519])).
% 0.54/0.61 tff(531,plain,(~node4(s24)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(532,assumption,(node4(s20)), introduced(assumption)).
% 0.54/0.61 tff(533,plain,
% 0.54/0.61 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(534,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(535,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[534, 533])).
% 0.54/0.61 tff(536,plain,
% 0.54/0.61 (m_main_v_request(s20)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[535, 20, 532])).
% 0.54/0.61 tff(537,plain,
% 0.54/0.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(538,plain,
% 0.54/0.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(539,plain,
% 0.54/0.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[538, 537])).
% 0.54/0.61 tff(540,plain,
% 0.54/0.61 (always3(s20)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[539, 67, 532])).
% 0.54/0.61 tff(541,plain,
% 0.54/0.61 (succ(s20, s21) <=> succ(s20, s21)),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(542,axiom,(succ(s20, s21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound21')).
% 0.54/0.61 tff(543,plain,
% 0.54/0.61 (succ(s20, s21)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[542, 541])).
% 0.54/0.61 tff(544,plain,
% 0.54/0.61 (((~![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))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(545,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(546,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[545, 544])).
% 0.54/0.61 tff(547,plain,
% 0.54/0.61 (trans(s20, s21)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[546, 543, 31])).
% 0.54/0.61 tff(548,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(549,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(550,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[549, 548])).
% 0.54/0.61 tff(551,plain,
% 0.54/0.61 ((~always3(s20)) | always3(s21)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[550, 81, 547])).
% 0.54/0.61 tff(552,plain,
% 0.54/0.61 (always3(s21)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[551, 540])).
% 0.54/0.61 tff(553,plain,
% 0.54/0.61 (~m_main_v_state(s21, c_busy)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[390, 93, 552])).
% 0.54/0.61 tff(554,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(555,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(556,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[555, 554])).
% 0.54/0.61 tff(557,plain,
% 0.54/0.61 (node2(s20, s21)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[556, 7, 547])).
% 0.54/0.61 tff(558,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(559,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(560,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[559, 558])).
% 0.54/0.61 tff(561,plain,
% 0.54/0.61 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[560, 52, 557])).
% 0.54/0.61 tff(562,plain,
% 0.54/0.61 (~m_main_v_state(s20, c_ready)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[561, 553, 536])).
% 0.54/0.61 tff(563,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(564,plain,
% 0.54/0.61 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(565,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s20)) | (~m_main_v_state(s20, c_busy))))),
% 0.54/0.61 inference(monotonicity,[status(thm)],[564])).
% 0.54/0.61 tff(566,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 0.54/0.61 inference(transitivity,[status(thm)],[565, 563])).
% 0.54/0.61 tff(567,plain,
% 0.54/0.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(568,plain,
% 0.54/0.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[567, 566])).
% 0.54/0.61 tff(569,plain,
% 0.54/0.61 (~m_main_v_state(s20, c_busy)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[568, 93, 540])).
% 0.54/0.61 tff(570,plain,
% 0.54/0.61 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(571,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(572,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[571, 570])).
% 0.54/0.61 tff(573,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[572, 155, 569, 562])).
% 0.54/0.61 tff(574,plain,(~node4(s20)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(575,assumption,(~node4(s0)), introduced(assumption)).
% 0.54/0.61 tff(576,assumption,(~node4(s9)), introduced(assumption)).
% 0.54/0.61 tff(577,assumption,(~node4(s36)), introduced(assumption)).
% 0.54/0.61 tff(578,assumption,(~node4(s18)), introduced(assumption)).
% 0.54/0.61 tff(579,assumption,(~node4(s24)), introduced(assumption)).
% 0.54/0.61 tff(580,assumption,(~node4(s10)), introduced(assumption)).
% 0.54/0.61 tff(581,assumption,(~node4(s11)), introduced(assumption)).
% 0.54/0.61 tff(582,assumption,(~node4(s21)), introduced(assumption)).
% 0.54/0.61 tff(583,assumption,(~node4(s1)), introduced(assumption)).
% 0.54/0.61 tff(584,assumption,(~node4(s49)), introduced(assumption)).
% 0.54/0.61 tff(585,assumption,(~node4(s17)), introduced(assumption)).
% 0.54/0.61 tff(586,assumption,(node4(s43)), introduced(assumption)).
% 0.54/0.61 tff(587,plain,
% 0.54/0.61 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(588,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(589,plain,
% 0.54/0.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[588, 587])).
% 0.54/0.61 tff(590,plain,
% 0.54/0.61 (m_main_v_request(s43)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[589, 20, 586])).
% 0.54/0.61 tff(591,plain,
% 0.54/0.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(592,plain,
% 0.54/0.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(593,plain,
% 0.54/0.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[592, 591])).
% 0.54/0.61 tff(594,plain,
% 0.54/0.61 (always3(s43)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[593, 67, 586])).
% 0.54/0.61 tff(595,plain,
% 0.54/0.61 (succ(s43, s44) <=> succ(s43, s44)),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(596,axiom,(succ(s43, s44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound44')).
% 0.54/0.61 tff(597,plain,
% 0.54/0.61 (succ(s43, s44)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[596, 595])).
% 0.54/0.61 tff(598,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(599,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(600,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[599, 598])).
% 0.54/0.61 tff(601,plain,
% 0.54/0.61 (trans(s43, s44)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[600, 597, 31])).
% 0.54/0.61 tff(602,plain,
% 0.54/0.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(603,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(604,plain,
% 0.54/0.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[603, 602])).
% 0.54/0.61 tff(605,plain,
% 0.54/0.61 ((~always3(s43)) | always3(s44)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[604, 81, 601])).
% 0.54/0.61 tff(606,plain,
% 0.54/0.61 (always3(s44)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[605, 594])).
% 0.54/0.61 tff(607,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(608,plain,
% 0.54/0.61 (((~m_main_v_state(s44, c_busy)) | (~always3(s44))) <=> ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(609,plain,
% 0.54/0.61 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s44)) | (~m_main_v_state(s44, c_busy))))),
% 0.54/0.62 inference(monotonicity,[status(thm)],[608])).
% 0.54/0.62 tff(610,plain,
% 0.54/0.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 0.54/0.62 inference(transitivity,[status(thm)],[609, 607])).
% 0.54/0.62 tff(611,plain,
% 0.54/0.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(612,plain,
% 0.54/0.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[611, 610])).
% 0.54/0.62 tff(613,plain,
% 0.54/0.62 (~m_main_v_state(s44, c_busy)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[612, 93, 606])).
% 0.54/0.62 tff(614,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(615,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(616,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[615, 614])).
% 0.54/0.62 tff(617,plain,
% 0.54/0.62 (node2(s43, s44)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[616, 7, 601])).
% 0.54/0.62 tff(618,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(619,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(620,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.54/0.62 tff(621,plain,
% 0.54/0.62 ((~m_main_v_state(s43, c_ready)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[620, 52, 617])).
% 0.54/0.62 tff(622,plain,
% 0.54/0.62 (~m_main_v_state(s43, c_ready)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[621, 613, 590])).
% 0.54/0.62 tff(623,plain,
% 0.54/0.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(624,plain,
% 0.54/0.62 (((~m_main_v_state(s43, c_busy)) | (~always3(s43))) <=> ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(625,plain,
% 0.54/0.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s43)) | (~m_main_v_state(s43, c_busy))))),
% 0.54/0.62 inference(monotonicity,[status(thm)],[624])).
% 0.54/0.62 tff(626,plain,
% 0.54/0.62 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 0.54/0.62 inference(transitivity,[status(thm)],[625, 623])).
% 0.54/0.62 tff(627,plain,
% 0.54/0.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(628,plain,
% 0.54/0.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[627, 626])).
% 0.54/0.62 tff(629,plain,
% 0.54/0.62 (~m_main_v_state(s43, c_busy)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[628, 93, 594])).
% 0.54/0.62 tff(630,plain,
% 0.54/0.62 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(631,plain,
% 0.54/0.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(632,plain,
% 0.54/0.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[631, 630])).
% 0.54/0.62 tff(633,plain,
% 0.54/0.62 ($false),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[632, 155, 629, 622])).
% 0.54/0.62 tff(634,plain,(~node4(s43)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.62 tff(635,assumption,(node4(s44)), introduced(assumption)).
% 0.54/0.62 tff(636,plain,
% 0.54/0.62 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44)))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(637,plain,
% 0.54/0.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(638,plain,
% 0.54/0.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[637, 636])).
% 0.54/0.62 tff(639,plain,
% 0.54/0.62 (m_main_v_request(s44)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[638, 20, 635])).
% 0.54/0.62 tff(640,assumption,(~always3(s45)), introduced(assumption)).
% 0.54/0.62 tff(641,plain,
% 0.54/0.62 (succ(s44, s45) <=> succ(s44, s45)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(642,axiom,(succ(s44, s45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound45')).
% 0.54/0.62 tff(643,plain,
% 0.54/0.62 (succ(s44, s45)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[642, 641])).
% 0.54/0.62 tff(644,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(645,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(646,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[645, 644])).
% 0.54/0.62 tff(647,plain,
% 0.54/0.62 (trans(s44, s45)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[646, 643, 31])).
% 0.54/0.62 tff(648,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(649,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(650,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[649, 648])).
% 0.54/0.62 tff(651,plain,
% 0.54/0.62 ((~always3(s44)) | always3(s45)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[650, 81, 647])).
% 0.54/0.62 tff(652,plain,
% 0.54/0.62 (~always3(s44)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[651, 640])).
% 0.54/0.62 tff(653,plain,
% 0.54/0.62 (~always3(s43)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[605, 652])).
% 0.54/0.62 tff(654,plain,
% 0.54/0.62 (succ(s42, s43) <=> succ(s42, s43)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(655,axiom,(succ(s42, s43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound43')).
% 0.54/0.62 tff(656,plain,
% 0.54/0.62 (succ(s42, s43)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[655, 654])).
% 0.54/0.62 tff(657,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(658,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(659,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[658, 657])).
% 0.54/0.62 tff(660,plain,
% 0.54/0.62 (trans(s42, s43)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[659, 656, 31])).
% 0.54/0.62 tff(661,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(662,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(663,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[662, 661])).
% 0.54/0.62 tff(664,plain,
% 0.54/0.62 ((~always3(s42)) | always3(s43)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[663, 81, 660])).
% 0.54/0.62 tff(665,plain,
% 0.54/0.62 (~always3(s42)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[664, 653])).
% 0.54/0.62 tff(666,plain,
% 0.54/0.62 (succ(s41, s42) <=> succ(s41, s42)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(667,axiom,(succ(s41, s42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound42')).
% 0.54/0.62 tff(668,plain,
% 0.54/0.62 (succ(s41, s42)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[667, 666])).
% 0.54/0.62 tff(669,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(670,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(671,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[670, 669])).
% 0.54/0.62 tff(672,plain,
% 0.54/0.62 (trans(s41, s42)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[671, 668, 31])).
% 0.54/0.62 tff(673,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(674,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(675,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[674, 673])).
% 0.54/0.62 tff(676,plain,
% 0.54/0.62 ((~always3(s41)) | always3(s42)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[675, 81, 672])).
% 0.54/0.62 tff(677,plain,
% 0.54/0.62 (~always3(s41)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[676, 665])).
% 0.54/0.62 tff(678,plain,
% 0.54/0.62 (succ(s40, s41) <=> succ(s40, s41)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(679,axiom,(succ(s40, s41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound41')).
% 0.54/0.62 tff(680,plain,
% 0.54/0.62 (succ(s40, s41)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[679, 678])).
% 0.54/0.62 tff(681,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(682,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(683,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[682, 681])).
% 0.54/0.62 tff(684,plain,
% 0.54/0.62 (trans(s40, s41)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[683, 680, 31])).
% 0.54/0.62 tff(685,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(686,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(687,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[686, 685])).
% 0.54/0.62 tff(688,plain,
% 0.54/0.62 ((~always3(s40)) | always3(s41)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[687, 81, 684])).
% 0.54/0.62 tff(689,plain,
% 0.54/0.62 (~always3(s40)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[688, 677])).
% 0.54/0.62 tff(690,plain,
% 0.54/0.62 (succ(s39, s40) <=> succ(s39, s40)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(691,axiom,(succ(s39, s40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound40')).
% 0.54/0.62 tff(692,plain,
% 0.54/0.62 (succ(s39, s40)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[691, 690])).
% 0.54/0.62 tff(693,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(694,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(695,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[694, 693])).
% 0.54/0.62 tff(696,plain,
% 0.54/0.62 (trans(s39, s40)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[695, 692, 31])).
% 0.54/0.62 tff(697,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(698,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(699,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.54/0.62 tff(700,plain,
% 0.54/0.62 ((~always3(s39)) | always3(s40)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[699, 81, 696])).
% 0.54/0.62 tff(701,plain,
% 0.54/0.62 (~always3(s39)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[700, 689])).
% 0.54/0.62 tff(702,plain,
% 0.54/0.62 (succ(s38, s39) <=> succ(s38, s39)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(703,axiom,(succ(s38, s39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound39')).
% 0.54/0.62 tff(704,plain,
% 0.54/0.62 (succ(s38, s39)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[703, 702])).
% 0.54/0.62 tff(705,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(706,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(707,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[706, 705])).
% 0.54/0.62 tff(708,plain,
% 0.54/0.62 (trans(s38, s39)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[707, 704, 31])).
% 0.54/0.62 tff(709,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(710,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(711,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[710, 709])).
% 0.54/0.62 tff(712,plain,
% 0.54/0.62 ((~always3(s38)) | always3(s39)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[711, 81, 708])).
% 0.54/0.62 tff(713,plain,
% 0.54/0.62 (~always3(s38)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[712, 701])).
% 0.54/0.62 tff(714,plain,
% 0.54/0.62 (succ(s37, s38) <=> succ(s37, s38)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(715,axiom,(succ(s37, s38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound38')).
% 0.54/0.62 tff(716,plain,
% 0.54/0.62 (succ(s37, s38)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[715, 714])).
% 0.54/0.62 tff(717,plain,
% 0.54/0.62 (((~![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))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(718,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(719,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[718, 717])).
% 0.54/0.62 tff(720,plain,
% 0.54/0.62 (trans(s37, s38)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[719, 716, 31])).
% 0.54/0.62 tff(721,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(722,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(723,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.54/0.62 tff(724,plain,
% 0.54/0.62 ((~always3(s37)) | always3(s38)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[723, 81, 720])).
% 0.54/0.62 tff(725,plain,
% 0.54/0.62 (~always3(s37)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[724, 713])).
% 0.54/0.62 tff(726,plain,
% 0.54/0.62 (~always3(s36)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[266, 725])).
% 0.54/0.62 tff(727,plain,
% 0.54/0.62 (succ(s35, s36) <=> succ(s35, s36)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(728,axiom,(succ(s35, s36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound36')).
% 0.54/0.62 tff(729,plain,
% 0.54/0.62 (succ(s35, s36)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[728, 727])).
% 0.54/0.62 tff(730,plain,
% 0.54/0.62 (((~![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))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(731,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(732,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[731, 730])).
% 0.54/0.62 tff(733,plain,
% 0.54/0.62 (trans(s35, s36)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[732, 729, 31])).
% 0.54/0.62 tff(734,plain,
% 0.54/0.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(735,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(736,plain,
% 0.54/0.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[735, 734])).
% 0.54/0.62 tff(737,plain,
% 0.54/0.63 ((~always3(s35)) | always3(s36)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[736, 81, 733])).
% 0.54/0.63 tff(738,plain,
% 0.54/0.63 (~always3(s35)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[737, 726])).
% 0.54/0.63 tff(739,plain,
% 0.54/0.63 (succ(s34, s35) <=> succ(s34, s35)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(740,axiom,(succ(s34, s35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound35')).
% 0.54/0.63 tff(741,plain,
% 0.54/0.63 (succ(s34, s35)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[740, 739])).
% 0.54/0.63 tff(742,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(743,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(744,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[743, 742])).
% 0.54/0.63 tff(745,plain,
% 0.54/0.63 (trans(s34, s35)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[744, 741, 31])).
% 0.54/0.63 tff(746,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(747,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(748,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[747, 746])).
% 0.54/0.63 tff(749,plain,
% 0.54/0.63 ((~always3(s34)) | always3(s35)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[748, 81, 745])).
% 0.54/0.63 tff(750,plain,
% 0.54/0.63 (~always3(s34)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[749, 738])).
% 0.54/0.63 tff(751,plain,
% 0.54/0.63 (succ(s33, s34) <=> succ(s33, s34)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(752,axiom,(succ(s33, s34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound34')).
% 0.54/0.63 tff(753,plain,
% 0.54/0.63 (succ(s33, s34)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[752, 751])).
% 0.54/0.63 tff(754,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(755,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(756,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[755, 754])).
% 0.54/0.63 tff(757,plain,
% 0.54/0.63 (trans(s33, s34)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[756, 753, 31])).
% 0.54/0.63 tff(758,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(759,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(760,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[759, 758])).
% 0.54/0.63 tff(761,plain,
% 0.54/0.63 ((~always3(s33)) | always3(s34)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[760, 81, 757])).
% 0.54/0.63 tff(762,plain,
% 0.54/0.63 (~always3(s33)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[761, 750])).
% 0.54/0.63 tff(763,plain,
% 0.54/0.63 (succ(s32, s33) <=> succ(s32, s33)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(764,axiom,(succ(s32, s33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound33')).
% 0.54/0.63 tff(765,plain,
% 0.54/0.63 (succ(s32, s33)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[764, 763])).
% 0.54/0.63 tff(766,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(767,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(768,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[767, 766])).
% 0.54/0.63 tff(769,plain,
% 0.54/0.63 (trans(s32, s33)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[768, 765, 31])).
% 0.54/0.63 tff(770,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(771,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(772,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[771, 770])).
% 0.54/0.63 tff(773,plain,
% 0.54/0.63 ((~always3(s32)) | always3(s33)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[772, 81, 769])).
% 0.54/0.63 tff(774,plain,
% 0.54/0.63 (~always3(s32)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[773, 762])).
% 0.54/0.63 tff(775,plain,
% 0.54/0.63 (succ(s31, s32) <=> succ(s31, s32)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(776,axiom,(succ(s31, s32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound32')).
% 0.54/0.63 tff(777,plain,
% 0.54/0.63 (succ(s31, s32)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[776, 775])).
% 0.54/0.63 tff(778,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(779,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(780,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[779, 778])).
% 0.54/0.63 tff(781,plain,
% 0.54/0.63 (trans(s31, s32)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[780, 777, 31])).
% 0.54/0.63 tff(782,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(783,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(784,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[783, 782])).
% 0.54/0.63 tff(785,plain,
% 0.54/0.63 ((~always3(s31)) | always3(s32)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[784, 81, 781])).
% 0.54/0.63 tff(786,plain,
% 0.54/0.63 (~always3(s31)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[785, 774])).
% 0.54/0.63 tff(787,plain,
% 0.54/0.63 (succ(s30, s31) <=> succ(s30, s31)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(788,axiom,(succ(s30, s31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound31')).
% 0.54/0.63 tff(789,plain,
% 0.54/0.63 (succ(s30, s31)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[788, 787])).
% 0.54/0.63 tff(790,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(791,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(792,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[791, 790])).
% 0.54/0.63 tff(793,plain,
% 0.54/0.63 (trans(s30, s31)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[792, 789, 31])).
% 0.54/0.63 tff(794,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(795,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(796,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[795, 794])).
% 0.54/0.63 tff(797,plain,
% 0.54/0.63 ((~always3(s30)) | always3(s31)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[796, 81, 793])).
% 0.54/0.63 tff(798,plain,
% 0.54/0.63 (~always3(s30)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[797, 786])).
% 0.54/0.63 tff(799,plain,
% 0.54/0.63 (succ(s29, s30) <=> succ(s29, s30)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(800,axiom,(succ(s29, s30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound30')).
% 0.54/0.63 tff(801,plain,
% 0.54/0.63 (succ(s29, s30)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[800, 799])).
% 0.54/0.63 tff(802,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(803,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(804,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[803, 802])).
% 0.54/0.63 tff(805,plain,
% 0.54/0.63 (trans(s29, s30)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[804, 801, 31])).
% 0.54/0.63 tff(806,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(807,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(808,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[807, 806])).
% 0.54/0.63 tff(809,plain,
% 0.54/0.63 ((~always3(s29)) | always3(s30)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[808, 81, 805])).
% 0.54/0.63 tff(810,plain,
% 0.54/0.63 (~always3(s29)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[809, 798])).
% 0.54/0.63 tff(811,plain,
% 0.54/0.63 (succ(s28, s29) <=> succ(s28, s29)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(812,axiom,(succ(s28, s29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound29')).
% 0.54/0.63 tff(813,plain,
% 0.54/0.63 (succ(s28, s29)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[812, 811])).
% 0.54/0.63 tff(814,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(815,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(816,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[815, 814])).
% 0.54/0.63 tff(817,plain,
% 0.54/0.63 (trans(s28, s29)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[816, 813, 31])).
% 0.54/0.63 tff(818,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(819,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(820,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[819, 818])).
% 0.54/0.63 tff(821,plain,
% 0.54/0.63 ((~always3(s28)) | always3(s29)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[820, 81, 817])).
% 0.54/0.63 tff(822,plain,
% 0.54/0.63 (~always3(s28)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[821, 810])).
% 0.54/0.63 tff(823,plain,
% 0.54/0.63 (succ(s27, s28) <=> succ(s27, s28)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(824,axiom,(succ(s27, s28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound28')).
% 0.54/0.63 tff(825,plain,
% 0.54/0.63 (succ(s27, s28)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[824, 823])).
% 0.54/0.63 tff(826,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(827,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(828,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[827, 826])).
% 0.54/0.63 tff(829,plain,
% 0.54/0.63 (trans(s27, s28)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[828, 825, 31])).
% 0.54/0.63 tff(830,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(831,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(832,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[831, 830])).
% 0.54/0.63 tff(833,plain,
% 0.54/0.63 ((~always3(s27)) | always3(s28)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[832, 81, 829])).
% 0.54/0.63 tff(834,plain,
% 0.54/0.63 (~always3(s27)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[833, 822])).
% 0.54/0.63 tff(835,plain,
% 0.54/0.63 (succ(s26, s27) <=> succ(s26, s27)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(836,axiom,(succ(s26, s27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound27')).
% 0.54/0.63 tff(837,plain,
% 0.54/0.63 (succ(s26, s27)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[836, 835])).
% 0.54/0.63 tff(838,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(839,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(840,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[839, 838])).
% 0.54/0.63 tff(841,plain,
% 0.54/0.63 (trans(s26, s27)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[840, 837, 31])).
% 0.54/0.63 tff(842,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(843,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(844,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[843, 842])).
% 0.54/0.63 tff(845,plain,
% 0.54/0.63 ((~always3(s26)) | always3(s27)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[844, 81, 841])).
% 0.54/0.63 tff(846,plain,
% 0.54/0.63 (~always3(s26)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[845, 834])).
% 0.54/0.63 tff(847,plain,
% 0.54/0.63 (succ(s25, s26) <=> succ(s25, s26)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(848,axiom,(succ(s25, s26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound26')).
% 0.54/0.63 tff(849,plain,
% 0.54/0.63 (succ(s25, s26)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[848, 847])).
% 0.54/0.63 tff(850,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(851,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(852,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[851, 850])).
% 0.54/0.63 tff(853,plain,
% 0.54/0.63 (trans(s25, s26)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[852, 849, 31])).
% 0.54/0.63 tff(854,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(855,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(856,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[855, 854])).
% 0.54/0.63 tff(857,plain,
% 0.54/0.63 ((~always3(s25)) | always3(s26)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[856, 81, 853])).
% 0.54/0.63 tff(858,plain,
% 0.54/0.63 (~always3(s25)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[857, 846])).
% 0.54/0.63 tff(859,plain,
% 0.54/0.63 (~always3(s24)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[502, 858])).
% 0.54/0.63 tff(860,plain,
% 0.54/0.63 (succ(s23, s24) <=> succ(s23, s24)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(861,axiom,(succ(s23, s24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound24')).
% 0.54/0.63 tff(862,plain,
% 0.54/0.63 (succ(s23, s24)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[861, 860])).
% 0.54/0.63 tff(863,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(864,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(865,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[864, 863])).
% 0.54/0.63 tff(866,plain,
% 0.54/0.63 (trans(s23, s24)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[865, 862, 31])).
% 0.54/0.63 tff(867,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(868,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(869,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[868, 867])).
% 0.54/0.63 tff(870,plain,
% 0.54/0.63 ((~always3(s23)) | always3(s24)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[869, 81, 866])).
% 0.54/0.63 tff(871,plain,
% 0.54/0.63 (~always3(s23)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[870, 859])).
% 0.54/0.63 tff(872,plain,
% 0.54/0.63 (succ(s22, s23) <=> succ(s22, s23)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(873,axiom,(succ(s22, s23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound23')).
% 0.54/0.63 tff(874,plain,
% 0.54/0.63 (succ(s22, s23)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[873, 872])).
% 0.54/0.63 tff(875,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(876,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(877,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[876, 875])).
% 0.54/0.63 tff(878,plain,
% 0.54/0.63 (trans(s22, s23)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[877, 874, 31])).
% 0.54/0.63 tff(879,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(880,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(881,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[880, 879])).
% 0.54/0.63 tff(882,plain,
% 0.54/0.63 ((~always3(s22)) | always3(s23)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[881, 81, 878])).
% 0.54/0.63 tff(883,plain,
% 0.54/0.63 (~always3(s22)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[882, 871])).
% 0.54/0.63 tff(884,plain,
% 0.54/0.63 (~always3(s21)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[367, 883])).
% 0.54/0.63 tff(885,plain,
% 0.54/0.63 (~always3(s20)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[551, 884])).
% 0.54/0.63 tff(886,plain,
% 0.54/0.63 (succ(s19, s20) <=> succ(s19, s20)),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(887,axiom,(succ(s19, s20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound20')).
% 0.54/0.63 tff(888,plain,
% 0.54/0.63 (succ(s19, s20)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[887, 886])).
% 0.54/0.63 tff(889,plain,
% 0.54/0.63 (((~![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))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(890,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(891,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 0.54/0.63 inference(modus_ponens,[status(thm)],[890, 889])).
% 0.54/0.63 tff(892,plain,
% 0.54/0.63 (trans(s19, s20)),
% 0.54/0.63 inference(unit_resolution,[status(thm)],[891, 888, 31])).
% 0.54/0.63 tff(893,plain,
% 0.54/0.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(894,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 0.54/0.63 inference(quant_inst,[status(thm)],[])).
% 0.54/0.63 tff(895,plain,
% 0.54/0.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[894, 893])).
% 0.54/0.64 tff(896,plain,
% 0.54/0.64 ((~always3(s19)) | always3(s20)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[895, 81, 892])).
% 0.54/0.64 tff(897,plain,
% 0.54/0.64 (~always3(s19)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[896, 885])).
% 0.54/0.64 tff(898,plain,
% 0.54/0.64 (~always3(s18)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[459, 897])).
% 0.54/0.64 tff(899,plain,
% 0.54/0.64 (~always3(s17)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[345, 898])).
% 0.54/0.64 tff(900,plain,
% 0.54/0.64 (succ(s16, s17) <=> succ(s16, s17)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(901,axiom,(succ(s16, s17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound17')).
% 0.54/0.64 tff(902,plain,
% 0.54/0.64 (succ(s16, s17)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[901, 900])).
% 0.54/0.64 tff(903,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(904,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(905,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[904, 903])).
% 0.54/0.64 tff(906,plain,
% 0.54/0.64 (trans(s16, s17)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[905, 902, 31])).
% 0.54/0.64 tff(907,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(908,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(909,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.54/0.64 tff(910,plain,
% 0.54/0.64 ((~always3(s16)) | always3(s17)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[909, 81, 906])).
% 0.54/0.64 tff(911,plain,
% 0.54/0.64 (~always3(s16)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[910, 899])).
% 0.54/0.64 tff(912,plain,
% 0.54/0.64 (succ(s15, s16) <=> succ(s15, s16)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(913,axiom,(succ(s15, s16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound16')).
% 0.54/0.64 tff(914,plain,
% 0.54/0.64 (succ(s15, s16)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[913, 912])).
% 0.54/0.64 tff(915,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(916,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(917,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[916, 915])).
% 0.54/0.64 tff(918,plain,
% 0.54/0.64 (trans(s15, s16)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[917, 914, 31])).
% 0.54/0.64 tff(919,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(920,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(921,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[920, 919])).
% 0.54/0.64 tff(922,plain,
% 0.54/0.64 ((~always3(s15)) | always3(s16)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[921, 81, 918])).
% 0.54/0.64 tff(923,plain,
% 0.54/0.64 (~always3(s15)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[922, 911])).
% 0.54/0.64 tff(924,plain,
% 0.54/0.64 (succ(s14, s15) <=> succ(s14, s15)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(925,axiom,(succ(s14, s15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound15')).
% 0.54/0.64 tff(926,plain,
% 0.54/0.64 (succ(s14, s15)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[925, 924])).
% 0.54/0.64 tff(927,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(928,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(929,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[928, 927])).
% 0.54/0.64 tff(930,plain,
% 0.54/0.64 (trans(s14, s15)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[929, 926, 31])).
% 0.54/0.64 tff(931,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(932,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(933,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[932, 931])).
% 0.54/0.64 tff(934,plain,
% 0.54/0.64 ((~always3(s14)) | always3(s15)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[933, 81, 930])).
% 0.54/0.64 tff(935,plain,
% 0.54/0.64 (~always3(s14)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[934, 923])).
% 0.54/0.64 tff(936,plain,
% 0.54/0.64 (succ(s13, s14) <=> succ(s13, s14)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(937,axiom,(succ(s13, s14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound14')).
% 0.54/0.64 tff(938,plain,
% 0.54/0.64 (succ(s13, s14)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[937, 936])).
% 0.54/0.64 tff(939,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(940,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(941,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[940, 939])).
% 0.54/0.64 tff(942,plain,
% 0.54/0.64 (trans(s13, s14)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[941, 938, 31])).
% 0.54/0.64 tff(943,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(944,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(945,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[944, 943])).
% 0.54/0.64 tff(946,plain,
% 0.54/0.64 ((~always3(s13)) | always3(s14)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[945, 81, 942])).
% 0.54/0.64 tff(947,plain,
% 0.54/0.64 (~always3(s13)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[946, 935])).
% 0.54/0.64 tff(948,plain,
% 0.54/0.64 (succ(s12, s13) <=> succ(s12, s13)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(949,axiom,(succ(s12, s13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound13')).
% 0.54/0.64 tff(950,plain,
% 0.54/0.64 (succ(s12, s13)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[949, 948])).
% 0.54/0.64 tff(951,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(952,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(953,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[952, 951])).
% 0.54/0.64 tff(954,plain,
% 0.54/0.64 (trans(s12, s13)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[953, 950, 31])).
% 0.54/0.64 tff(955,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(956,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(957,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[956, 955])).
% 0.54/0.64 tff(958,plain,
% 0.54/0.64 ((~always3(s12)) | always3(s13)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[957, 81, 954])).
% 0.54/0.64 tff(959,plain,
% 0.54/0.64 (~always3(s12)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[958, 947])).
% 0.54/0.64 tff(960,plain,
% 0.54/0.64 (~always3(s11)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[416, 959])).
% 0.54/0.64 tff(961,plain,
% 0.54/0.64 (~always3(s10)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[121, 960])).
% 0.54/0.64 tff(962,plain,
% 0.54/0.64 (~always3(s9)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[180, 961])).
% 0.54/0.64 tff(963,plain,
% 0.54/0.64 (succ(s8, s9) <=> succ(s8, s9)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(964,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 0.54/0.64 tff(965,plain,
% 0.54/0.64 (succ(s8, s9)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[964, 963])).
% 0.54/0.64 tff(966,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(967,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(968,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[967, 966])).
% 0.54/0.64 tff(969,plain,
% 0.54/0.64 (trans(s8, s9)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[968, 965, 31])).
% 0.54/0.64 tff(970,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(971,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(972,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[971, 970])).
% 0.54/0.64 tff(973,plain,
% 0.54/0.64 ((~always3(s8)) | always3(s9)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[972, 81, 969])).
% 0.54/0.64 tff(974,plain,
% 0.54/0.64 (~always3(s8)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[973, 962])).
% 0.54/0.64 tff(975,plain,
% 0.54/0.64 (succ(s7, s8) <=> succ(s7, s8)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(976,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 0.54/0.64 tff(977,plain,
% 0.54/0.64 (succ(s7, s8)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[976, 975])).
% 0.54/0.64 tff(978,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(979,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(980,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[979, 978])).
% 0.54/0.64 tff(981,plain,
% 0.54/0.64 (trans(s7, s8)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[980, 977, 31])).
% 0.54/0.64 tff(982,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(983,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(984,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[983, 982])).
% 0.54/0.64 tff(985,plain,
% 0.54/0.64 ((~always3(s7)) | always3(s8)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[984, 81, 981])).
% 0.54/0.64 tff(986,plain,
% 0.54/0.64 (~always3(s7)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[985, 974])).
% 0.54/0.64 tff(987,plain,
% 0.54/0.64 (succ(s6, s7) <=> succ(s6, s7)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(988,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 0.54/0.64 tff(989,plain,
% 0.54/0.64 (succ(s6, s7)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[988, 987])).
% 0.54/0.64 tff(990,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(991,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(992,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[991, 990])).
% 0.54/0.64 tff(993,plain,
% 0.54/0.64 (trans(s6, s7)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[992, 989, 31])).
% 0.54/0.64 tff(994,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(995,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(996,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[995, 994])).
% 0.54/0.64 tff(997,plain,
% 0.54/0.64 ((~always3(s6)) | always3(s7)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[996, 81, 993])).
% 0.54/0.64 tff(998,plain,
% 0.54/0.64 (~always3(s6)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[997, 986])).
% 0.54/0.64 tff(999,plain,
% 0.54/0.64 (succ(s5, s6) <=> succ(s5, s6)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1000,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 0.54/0.64 tff(1001,plain,
% 0.54/0.64 (succ(s5, s6)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1000, 999])).
% 0.54/0.64 tff(1002,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1003,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1004,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 0.54/0.64 tff(1005,plain,
% 0.54/0.64 (trans(s5, s6)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1004, 1001, 31])).
% 0.54/0.64 tff(1006,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1007,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1008,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 0.54/0.64 tff(1009,plain,
% 0.54/0.64 ((~always3(s5)) | always3(s6)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1008, 81, 1005])).
% 0.54/0.64 tff(1010,plain,
% 0.54/0.64 (~always3(s5)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1009, 998])).
% 0.54/0.64 tff(1011,plain,
% 0.54/0.64 (succ(s4, s5) <=> succ(s4, s5)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1012,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 0.54/0.64 tff(1013,plain,
% 0.54/0.64 (succ(s4, s5)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 0.54/0.64 tff(1014,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1015,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1016,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 0.54/0.64 tff(1017,plain,
% 0.54/0.64 (trans(s4, s5)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1016, 1013, 31])).
% 0.54/0.64 tff(1018,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1019,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1020,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 0.54/0.64 tff(1021,plain,
% 0.54/0.64 ((~always3(s4)) | always3(s5)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1020, 81, 1017])).
% 0.54/0.64 tff(1022,plain,
% 0.54/0.64 (~always3(s4)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1021, 1010])).
% 0.54/0.64 tff(1023,plain,
% 0.54/0.64 (succ(s3, s4) <=> succ(s3, s4)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1024,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 0.54/0.64 tff(1025,plain,
% 0.54/0.64 (succ(s3, s4)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 0.54/0.64 tff(1026,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1027,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1028,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1027, 1026])).
% 0.54/0.64 tff(1029,plain,
% 0.54/0.64 (trans(s3, s4)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1028, 1025, 31])).
% 0.54/0.64 tff(1030,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1031,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1032,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 0.54/0.64 tff(1033,plain,
% 0.54/0.64 ((~always3(s3)) | always3(s4)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1032, 81, 1029])).
% 0.54/0.64 tff(1034,plain,
% 0.54/0.64 (~always3(s3)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1033, 1022])).
% 0.54/0.64 tff(1035,plain,
% 0.54/0.64 (succ(s2, s3) <=> succ(s2, s3)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1036,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 0.54/0.64 tff(1037,plain,
% 0.54/0.64 (succ(s2, s3)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1036, 1035])).
% 0.54/0.64 tff(1038,plain,
% 0.54/0.64 (((~![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))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1039,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1040,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 0.54/0.64 tff(1041,plain,
% 0.54/0.64 (trans(s2, s3)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1040, 1037, 31])).
% 0.54/0.64 tff(1042,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1043,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1044,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1043, 1042])).
% 0.54/0.64 tff(1045,plain,
% 0.54/0.64 ((~always3(s2)) | always3(s3)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1044, 81, 1041])).
% 0.54/0.64 tff(1046,plain,
% 0.54/0.64 (~always3(s2)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1045, 1034])).
% 0.54/0.64 tff(1047,plain,
% 0.54/0.64 (~always3(s1)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[223, 1046])).
% 0.54/0.64 tff(1048,plain,
% 0.54/0.64 (~always3(s0)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[85, 1047])).
% 0.54/0.64 tff(1049,assumption,(~always3(s49)), introduced(assumption)).
% 0.54/0.64 tff(1050,plain,
% 0.54/0.64 (succ(s48, s49) <=> succ(s48, s49)),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1051,axiom,(succ(s48, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound49')).
% 0.54/0.64 tff(1052,plain,
% 0.54/0.64 (succ(s48, s49)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1051, 1050])).
% 0.54/0.64 tff(1053,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49))),
% 0.54/0.64 inference(rewrite,[status(thm)],[])).
% 0.54/0.64 tff(1054,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 0.54/0.64 inference(quant_inst,[status(thm)],[])).
% 0.54/0.64 tff(1055,plain,
% 0.54/0.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 0.54/0.64 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 0.54/0.64 tff(1056,plain,
% 0.54/0.64 (trans(s48, s49)),
% 0.54/0.64 inference(unit_resolution,[status(thm)],[1055, 1052, 31])).
% 0.54/0.64 tff(1057,plain,
% 0.54/0.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s49) | (~trans(s48, s49)) | (~always3(s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s49) | (~trans(s48, s49)) | (~always3(s48)))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1058,plain,
% 0.54/0.65 (((~trans(s48, s49)) | (~always3(s48)) | always3(s49)) <=> (always3(s49) | (~trans(s48, s49)) | (~always3(s48)))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1059,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s49) | (~trans(s48, s49)) | (~always3(s48))))),
% 0.54/0.65 inference(monotonicity,[status(thm)],[1058])).
% 0.54/0.65 tff(1060,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s49) | (~trans(s48, s49)) | (~always3(s48)))),
% 0.54/0.65 inference(transitivity,[status(thm)],[1059, 1057])).
% 0.54/0.65 tff(1061,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1062,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s49) | (~trans(s48, s49)) | (~always3(s48))),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 0.54/0.65 tff(1063,plain,
% 0.54/0.65 (always3(s49) | (~always3(s48))),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1062, 81, 1056])).
% 0.54/0.65 tff(1064,plain,
% 0.54/0.65 (~always3(s48)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1063, 1049])).
% 0.54/0.65 tff(1065,plain,
% 0.54/0.65 (succ(s47, s48) <=> succ(s47, s48)),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1066,axiom,(succ(s47, s48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound48')).
% 0.54/0.65 tff(1067,plain,
% 0.54/0.65 (succ(s47, s48)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 0.54/0.65 tff(1068,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1069,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1070,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 0.54/0.65 tff(1071,plain,
% 0.54/0.65 (trans(s47, s48)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1070, 1067, 31])).
% 0.54/0.65 tff(1072,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1073,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1074,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1073, 1072])).
% 0.54/0.65 tff(1075,plain,
% 0.54/0.65 ((~always3(s47)) | always3(s48)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1074, 81, 1071])).
% 0.54/0.65 tff(1076,plain,
% 0.54/0.65 (~always3(s47)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1075, 1064])).
% 0.54/0.65 tff(1077,plain,
% 0.54/0.65 (succ(s46, s47) <=> succ(s46, s47)),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1078,axiom,(succ(s46, s47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound47')).
% 0.54/0.65 tff(1079,plain,
% 0.54/0.65 (succ(s46, s47)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 0.54/0.65 tff(1080,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1081,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1082,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1081, 1080])).
% 0.54/0.65 tff(1083,plain,
% 0.54/0.65 (trans(s46, s47)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1082, 1079, 31])).
% 0.54/0.65 tff(1084,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1085,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1086,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1085, 1084])).
% 0.54/0.65 tff(1087,plain,
% 0.54/0.65 ((~always3(s46)) | always3(s47)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1086, 81, 1083])).
% 0.54/0.65 tff(1088,plain,
% 0.54/0.65 (~always3(s46)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1087, 1076])).
% 0.54/0.65 tff(1089,plain,
% 0.54/0.65 (succ(s45, s46) <=> succ(s45, s46)),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1090,axiom,(succ(s45, s46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound46')).
% 0.54/0.65 tff(1091,plain,
% 0.54/0.65 (succ(s45, s46)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 0.54/0.65 tff(1092,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1093,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1094,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 0.54/0.65 tff(1095,plain,
% 0.54/0.65 (trans(s45, s46)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1094, 1091, 31])).
% 0.54/0.65 tff(1096,plain,
% 0.54/0.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1097,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1098,plain,
% 0.54/0.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 0.54/0.65 tff(1099,plain,
% 0.54/0.65 ((~always3(s45)) | always3(s46)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1098, 81, 1095])).
% 0.54/0.65 tff(1100,plain,
% 0.54/0.65 (~always3(s45)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1099, 1088])).
% 0.54/0.65 tff(1101,plain,
% 0.54/0.65 (~always3(s44)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[651, 1100])).
% 0.54/0.65 tff(1102,plain,
% 0.54/0.65 (~always3(s43)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[605, 1101])).
% 0.54/0.65 tff(1103,plain,
% 0.54/0.65 (~always3(s42)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[664, 1102])).
% 0.54/0.65 tff(1104,plain,
% 0.54/0.65 (~always3(s41)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[676, 1103])).
% 0.54/0.65 tff(1105,plain,
% 0.54/0.65 (~always3(s40)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[688, 1104])).
% 0.54/0.65 tff(1106,plain,
% 0.54/0.65 (~always3(s39)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[700, 1105])).
% 0.54/0.65 tff(1107,plain,
% 0.54/0.65 (~always3(s38)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[712, 1106])).
% 0.54/0.65 tff(1108,plain,
% 0.54/0.65 (~always3(s37)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[724, 1107])).
% 0.54/0.65 tff(1109,plain,
% 0.54/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38)))),
% 0.54/0.65 inference(rewrite,[status(thm)],[])).
% 0.54/0.65 tff(1110,plain,
% 0.54/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))),
% 0.54/0.65 inference(quant_inst,[status(thm)],[])).
% 0.54/0.65 tff(1111,plain,
% 0.54/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38))),
% 0.54/0.65 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 0.54/0.65 tff(1112,plain,
% 0.54/0.65 (~node4(s38)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[1111, 67, 1107])).
% 0.54/0.65 tff(1113,plain,
% 0.54/0.65 (~always3(s36)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[266, 1108])).
% 0.54/0.65 tff(1114,plain,
% 0.54/0.65 (~always3(s35)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[737, 1113])).
% 0.54/0.65 tff(1115,plain,
% 0.54/0.65 (~always3(s34)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[749, 1114])).
% 0.54/0.65 tff(1116,plain,
% 0.54/0.65 (~always3(s33)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[761, 1115])).
% 0.54/0.65 tff(1117,plain,
% 0.54/0.65 (~always3(s32)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[773, 1116])).
% 0.54/0.65 tff(1118,plain,
% 0.54/0.65 (~always3(s31)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[785, 1117])).
% 0.54/0.65 tff(1119,plain,
% 0.54/0.65 (~always3(s30)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[797, 1118])).
% 0.54/0.65 tff(1120,plain,
% 0.54/0.65 (~always3(s29)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[809, 1119])).
% 0.54/0.65 tff(1121,plain,
% 0.54/0.65 (~always3(s28)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[821, 1120])).
% 0.54/0.65 tff(1122,plain,
% 0.54/0.65 (~always3(s27)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[833, 1121])).
% 0.54/0.65 tff(1123,plain,
% 0.54/0.65 (~always3(s26)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[845, 1122])).
% 0.54/0.65 tff(1124,plain,
% 0.54/0.65 (~always3(s25)),
% 0.54/0.65 inference(unit_resolution,[status(thm)],[857, 1123])).
% 0.54/0.65 tff(1125,plain,
% 0.54/0.65 (~always3(s24)),
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% 0.54/0.65 inference(unit_resolution,[status(thm)],[870, 1125])).
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% 0.54/0.65 inference(unit_resolution,[status(thm)],[367, 1127])).
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% 0.54/0.65 inference(unit_resolution,[status(thm)],[551, 1128])).
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% 0.54/0.65 inference(unit_resolution,[status(thm)],[896, 1129])).
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% 0.54/0.65 inference(unit_resolution,[status(thm)],[910, 1132])).
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% 0.54/0.65 inference(unit_resolution,[status(thm)],[958, 1136])).
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% 0.59/0.65 tff(1152,plain,
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
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% 0.59/0.65 inference(modus_ponens,[status(thm)],[1219, 1218])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1220, 67, 1136])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1223,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1224,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1223, 1222])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1224, 67, 1137])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[404, 67, 1138])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[109, 67, 1139])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[168, 67, 1140])).
% 0.59/0.65 tff(1229,plain,
% 0.59/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8)))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1230,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1231,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 0.59/0.65 tff(1232,plain,
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1231, 67, 1141])).
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% 0.59/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7)))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1234,plain,
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
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% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1234, 1233])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1235, 67, 1142])).
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% 0.59/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6)))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1238,plain,
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
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% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 0.59/0.65 tff(1240,plain,
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1239, 67, 1143])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1242,plain,
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1243,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1242, 1241])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1243, 67, 1144])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1246,plain,
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1247,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1246, 1245])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1247, 67, 1145])).
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% 0.59/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3)))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1250,plain,
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1251,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 0.59/0.65 tff(1252,plain,
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1251, 67, 1146])).
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% 0.59/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2)))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1254,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
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% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1254, 1253])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1255, 67, 1147])).
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% 0.59/0.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40)))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1258,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))),
% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1259,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1258, 1257])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1259, 67, 1105])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
% 0.59/0.65 tff(1263,plain,
% 0.59/0.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39))),
% 0.59/0.65 inference(modus_ponens,[status(thm)],[1262, 1261])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1263, 67, 1106])).
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% 0.59/0.65 inference(bind,[status(th)],[])).
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% 0.59/0.65 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.59/0.65 inference(quant_intro,[status(thm)],[1266])).
% 0.59/0.65 tff(1268,plain,
% 0.59/0.65 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.59/0.65 inference(rewrite,[status(thm)],[])).
% 0.59/0.65 tff(1269,plain,
% 0.59/0.65 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 0.59/0.65 inference(bind,[status(th)],[])).
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% 0.59/0.65 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.59/0.65 inference(quant_intro,[status(thm)],[1269])).
% 0.59/0.65 tff(1271,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
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% 0.59/0.65 inference(modus_ponens,[status(thm)],[1271, 1270])).
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% 0.59/0.65 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.59/0.65 inference(skolemize,[status(sab)],[1273])).
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% 0.59/0.65 inference(modus_ponens,[status(thm)],[1274, 1267])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(rewrite,[status(thm)],[])).
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% 0.59/0.65 inference(monotonicity,[status(thm)],[1277])).
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% 0.59/0.65 inference(transitivity,[status(thm)],[1278, 1276])).
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% 0.59/0.65 inference(quant_inst,[status(thm)],[])).
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% 0.59/0.65 inference(modus_ponens,[status(thm)],[1280, 1279])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1281, 1275, 1265])).
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% 0.59/0.65 inference(unit_resolution,[status(thm)],[1282, 1264])).
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% 0.59/0.65 inference(bind,[status(th)],[])).
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% 0.59/0.65 inference(quant_intro,[status(thm)],[1284])).
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% 0.59/0.66 inference(rewrite,[status(thm)],[])).
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% 0.59/0.66 inference(bind,[status(th)],[])).
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% 0.59/0.66 inference(quant_intro,[status(thm)],[1287])).
% 0.59/0.66 tff(1289,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
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% 0.59/0.66 inference(rewrite,[status(thm)],[])).
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% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
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% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1295, 1294])).
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% 0.59/0.66 inference(unit_resolution,[status(thm)],[1296, 692, 1293])).
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% 0.59/0.66 inference(rewrite,[status(thm)],[])).
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% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1301,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s40) | node4(s40) | (~until5(s40))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1300])).
% 0.59/0.66 tff(1302,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1301, 1299])).
% 0.59/0.66 tff(1303,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1304,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 0.59/0.66 tff(1305,plain,
% 0.59/0.66 (xuntil6(s40)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1304, 1275, 1298, 1260])).
% 0.59/0.66 tff(1306,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1307,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1308,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1307, 1306])).
% 0.59/0.66 tff(1309,plain,
% 0.59/0.66 ((~xuntil6(s40)) | until5(s41)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1308, 680, 1293])).
% 0.59/0.66 tff(1310,plain,
% 0.59/0.66 (until5(s41)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1309, 1305])).
% 0.59/0.66 tff(1311,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1312,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1313,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 0.59/0.66 tff(1314,plain,
% 0.59/0.66 (~node4(s41)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1313, 67, 1104])).
% 0.59/0.66 tff(1315,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s41) | node4(s41) | (~until5(s41)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1316,plain,
% 0.59/0.66 ((node4(s41) | (~until5(s41)) | xuntil6(s41)) <=> (xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1317,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s41) | node4(s41) | (~until5(s41))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1316])).
% 0.59/0.66 tff(1318,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1317, 1315])).
% 0.59/0.66 tff(1319,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1320,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1319, 1318])).
% 0.59/0.66 tff(1321,plain,
% 0.59/0.66 (xuntil6(s41) | (~until5(s41))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1320, 1275, 1314])).
% 0.59/0.66 tff(1322,plain,
% 0.59/0.66 (xuntil6(s41)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1321, 1310])).
% 0.59/0.66 tff(1323,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1324,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1325,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 0.59/0.66 tff(1326,plain,
% 0.59/0.66 ((~xuntil6(s41)) | until5(s42)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1325, 668, 1293])).
% 0.59/0.66 tff(1327,plain,
% 0.59/0.66 (until5(s42)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1326, 1322])).
% 0.59/0.66 tff(1328,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1329,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1330,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 0.59/0.66 tff(1331,plain,
% 0.59/0.66 (~node4(s42)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1330, 67, 1103])).
% 0.59/0.66 tff(1332,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s42) | node4(s42) | (~until5(s42)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1333,plain,
% 0.59/0.66 ((node4(s42) | (~until5(s42)) | xuntil6(s42)) <=> (xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1334,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s42) | node4(s42) | (~until5(s42))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1333])).
% 0.59/0.66 tff(1335,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1334, 1332])).
% 0.59/0.66 tff(1336,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1337,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 0.59/0.66 tff(1338,plain,
% 0.59/0.66 (xuntil6(s42) | (~until5(s42))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1337, 1275, 1331])).
% 0.59/0.66 tff(1339,plain,
% 0.59/0.66 (xuntil6(s42)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1338, 1327])).
% 0.59/0.66 tff(1340,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1341,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1342,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 0.59/0.66 tff(1343,plain,
% 0.59/0.66 ((~xuntil6(s42)) | until5(s43)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1342, 656, 1293])).
% 0.59/0.66 tff(1344,plain,
% 0.59/0.66 (until5(s43)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1343, 1339])).
% 0.59/0.66 tff(1345,plain,
% 0.59/0.66 (~node4(s43)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[593, 67, 1102])).
% 0.59/0.66 tff(1346,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s43) | node4(s43) | (~until5(s43)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1347,plain,
% 0.59/0.66 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1348,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s43) | node4(s43) | (~until5(s43))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1347])).
% 0.59/0.66 tff(1349,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1348, 1346])).
% 0.59/0.66 tff(1350,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1351,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 0.59/0.66 tff(1352,plain,
% 0.59/0.66 (xuntil6(s43) | (~until5(s43))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1351, 1275, 1345])).
% 0.59/0.66 tff(1353,plain,
% 0.59/0.66 (xuntil6(s43)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1352, 1344])).
% 0.59/0.66 tff(1354,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1355,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1356,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 0.59/0.66 tff(1357,plain,
% 0.59/0.66 ((~xuntil6(s43)) | until5(s44)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1356, 597, 1293])).
% 0.59/0.66 tff(1358,plain,
% 0.59/0.66 (until5(s44)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1357, 1353])).
% 0.59/0.66 tff(1359,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1360,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1361,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 0.59/0.66 tff(1362,plain,
% 0.59/0.66 (~node4(s44)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1361, 67, 1101])).
% 0.59/0.66 tff(1363,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s44) | node4(s44) | (~until5(s44)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1364,plain,
% 0.59/0.66 ((node4(s44) | (~until5(s44)) | xuntil6(s44)) <=> (xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1365,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s44) | node4(s44) | (~until5(s44))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1364])).
% 0.59/0.66 tff(1366,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1365, 1363])).
% 0.59/0.66 tff(1367,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1368,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 0.59/0.66 tff(1369,plain,
% 0.59/0.66 (xuntil6(s44) | (~until5(s44))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1368, 1275, 1362])).
% 0.59/0.66 tff(1370,plain,
% 0.59/0.66 (xuntil6(s44)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1369, 1358])).
% 0.59/0.66 tff(1371,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1372,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1373,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 0.59/0.66 tff(1374,plain,
% 0.59/0.66 ((~xuntil6(s44)) | until5(s45)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1373, 643, 1293])).
% 0.59/0.66 tff(1375,plain,
% 0.59/0.66 (until5(s45)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1374, 1370])).
% 0.59/0.66 tff(1376,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1377,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1378,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 0.59/0.66 tff(1379,plain,
% 0.59/0.66 (~node4(s45)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1378, 67, 1100])).
% 0.59/0.66 tff(1380,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s45) | node4(s45) | (~until5(s45)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1381,plain,
% 0.59/0.66 ((node4(s45) | (~until5(s45)) | xuntil6(s45)) <=> (xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1382,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s45) | node4(s45) | (~until5(s45))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1381])).
% 0.59/0.66 tff(1383,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1382, 1380])).
% 0.59/0.66 tff(1384,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1385,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1384, 1383])).
% 0.59/0.66 tff(1386,plain,
% 0.59/0.66 (xuntil6(s45) | (~until5(s45))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1385, 1275, 1379])).
% 0.59/0.66 tff(1387,plain,
% 0.59/0.66 (xuntil6(s45)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1386, 1375])).
% 0.59/0.66 tff(1388,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1389,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1390,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 0.59/0.66 tff(1391,plain,
% 0.59/0.66 ((~xuntil6(s45)) | until5(s46)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1390, 1091, 1293])).
% 0.59/0.66 tff(1392,plain,
% 0.59/0.66 (until5(s46)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1391, 1387])).
% 0.59/0.66 tff(1393,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1394,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1395,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1394, 1393])).
% 0.59/0.66 tff(1396,plain,
% 0.59/0.66 (~node4(s46)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1395, 67, 1088])).
% 0.59/0.66 tff(1397,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s46) | node4(s46) | (~until5(s46)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1398,plain,
% 0.59/0.66 ((node4(s46) | (~until5(s46)) | xuntil6(s46)) <=> (xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1399,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s46) | node4(s46) | (~until5(s46))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1398])).
% 0.59/0.66 tff(1400,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1399, 1397])).
% 0.59/0.66 tff(1401,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1402,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 0.59/0.66 tff(1403,plain,
% 0.59/0.66 (xuntil6(s46) | (~until5(s46))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1402, 1275, 1396])).
% 0.59/0.66 tff(1404,plain,
% 0.59/0.66 (xuntil6(s46)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1403, 1392])).
% 0.59/0.66 tff(1405,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1406,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1407,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 0.59/0.66 tff(1408,plain,
% 0.59/0.66 ((~xuntil6(s46)) | until5(s47)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1407, 1079, 1293])).
% 0.59/0.66 tff(1409,plain,
% 0.59/0.66 (until5(s47)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1408, 1404])).
% 0.59/0.66 tff(1410,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1411,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1412,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 0.59/0.66 tff(1413,plain,
% 0.59/0.66 (~node4(s47)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1412, 67, 1076])).
% 0.59/0.66 tff(1414,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s47) | node4(s47) | (~until5(s47)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1415,plain,
% 0.59/0.66 ((node4(s47) | (~until5(s47)) | xuntil6(s47)) <=> (xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1416,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s47) | node4(s47) | (~until5(s47))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1415])).
% 0.59/0.66 tff(1417,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1416, 1414])).
% 0.59/0.66 tff(1418,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1419,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 0.59/0.66 tff(1420,plain,
% 0.59/0.66 (xuntil6(s47) | (~until5(s47))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1419, 1275, 1413])).
% 0.59/0.66 tff(1421,plain,
% 0.59/0.66 (xuntil6(s47)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1420, 1409])).
% 0.59/0.66 tff(1422,plain,
% 0.59/0.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1423,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1424,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 0.59/0.66 tff(1425,plain,
% 0.59/0.66 ((~xuntil6(s47)) | until5(s48)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1424, 1067, 1293])).
% 0.59/0.66 tff(1426,plain,
% 0.59/0.66 (until5(s48)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1425, 1421])).
% 0.59/0.66 tff(1427,plain,
% 0.59/0.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1428,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1429,plain,
% 0.59/0.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 0.59/0.66 tff(1430,plain,
% 0.59/0.66 (~node4(s48)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1429, 67, 1064])).
% 0.59/0.66 tff(1431,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s48) | node4(s48) | (~until5(s48)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1432,plain,
% 0.59/0.66 ((node4(s48) | (~until5(s48)) | xuntil6(s48)) <=> (xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1433,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s48) | node4(s48) | (~until5(s48))))),
% 0.59/0.66 inference(monotonicity,[status(thm)],[1432])).
% 0.59/0.66 tff(1434,plain,
% 0.59/0.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 0.59/0.66 inference(transitivity,[status(thm)],[1433, 1431])).
% 0.59/0.66 tff(1435,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1436,plain,
% 0.59/0.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48))),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1435, 1434])).
% 0.59/0.66 tff(1437,plain,
% 0.59/0.66 (xuntil6(s48) | (~until5(s48))),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1436, 1275, 1430])).
% 0.59/0.66 tff(1438,plain,
% 0.59/0.66 (xuntil6(s48)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1437, 1426])).
% 0.59/0.66 tff(1439,plain,
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% 0.59/0.66 inference(rewrite,[status(thm)],[])).
% 0.59/0.66 tff(1440,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 0.59/0.66 inference(quant_inst,[status(thm)],[])).
% 0.59/0.66 tff(1441,plain,
% 0.59/0.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49)),
% 0.59/0.66 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 0.59/0.66 tff(1442,plain,
% 0.59/0.66 ((~xuntil6(s48)) | until5(s49)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1441, 1052, 1293])).
% 0.59/0.66 tff(1443,plain,
% 0.59/0.66 (until5(s49)),
% 0.59/0.66 inference(unit_resolution,[status(thm)],[1442, 1438])).
% 0.59/0.66 tff(1444,assumption,(~node4(s38)), introduced(assumption)).
% 0.59/0.66 tff(1445,assumption,(~node4(s37)), introduced(assumption)).
% 0.59/0.67 tff(1446,assumption,(~node4(s35)), introduced(assumption)).
% 0.59/0.67 tff(1447,assumption,(~node4(s33)), introduced(assumption)).
% 0.59/0.67 tff(1448,assumption,(~node4(s32)), introduced(assumption)).
% 0.59/0.67 tff(1449,assumption,(~node4(s31)), introduced(assumption)).
% 0.59/0.67 tff(1450,assumption,(~node4(s30)), introduced(assumption)).
% 0.59/0.67 tff(1451,assumption,(~node4(s29)), introduced(assumption)).
% 0.59/0.67 tff(1452,assumption,(~node4(s28)), introduced(assumption)).
% 0.59/0.67 tff(1453,assumption,(~node4(s26)), introduced(assumption)).
% 0.59/0.67 tff(1454,assumption,(~node4(s25)), introduced(assumption)).
% 0.59/0.67 tff(1455,assumption,(~node4(s23)), introduced(assumption)).
% 0.59/0.67 tff(1456,assumption,(~node4(s20)), introduced(assumption)).
% 0.59/0.67 tff(1457,assumption,(~node4(s19)), introduced(assumption)).
% 0.59/0.67 tff(1458,assumption,(~node4(s16)), introduced(assumption)).
% 0.59/0.67 tff(1459,assumption,(~node4(s15)), introduced(assumption)).
% 0.59/0.67 tff(1460,assumption,(~node4(s14)), introduced(assumption)).
% 0.59/0.67 tff(1461,assumption,(~node4(s13)), introduced(assumption)).
% 0.59/0.67 tff(1462,assumption,(~node4(s12)), introduced(assumption)).
% 0.59/0.67 tff(1463,assumption,(~node4(s8)), introduced(assumption)).
% 0.59/0.67 tff(1464,assumption,(~node4(s7)), introduced(assumption)).
% 0.59/0.67 tff(1465,assumption,(~node4(s6)), introduced(assumption)).
% 0.59/0.67 tff(1466,assumption,(~node4(s5)), introduced(assumption)).
% 0.59/0.67 tff(1467,assumption,(~node4(s4)), introduced(assumption)).
% 0.59/0.67 tff(1468,assumption,(~node4(s3)), introduced(assumption)).
% 0.59/0.67 tff(1469,assumption,(~node4(s2)), introduced(assumption)).
% 0.59/0.67 tff(1470,assumption,(until5(s49)), introduced(assumption)).
% 0.59/0.67 tff(1471,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s49) | node4(s49) | (~until5(s49)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1472,plain,
% 0.59/0.67 ((node4(s49) | (~until5(s49)) | xuntil6(s49)) <=> (xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1473,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s49) | node4(s49) | (~until5(s49))))),
% 0.59/0.67 inference(monotonicity,[status(thm)],[1472])).
% 0.59/0.67 tff(1474,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 0.59/0.67 inference(transitivity,[status(thm)],[1473, 1471])).
% 0.59/0.67 tff(1475,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1476,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 0.59/0.67 tff(1477,plain,
% 0.59/0.67 (xuntil6(s49) | node4(s49)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1476, 1275, 1470])).
% 0.59/0.67 tff(1478,plain,
% 0.59/0.67 (xuntil6(s49)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1477, 584])).
% 0.59/0.67 tff(1479,plain,
% 0.59/0.67 (^[X: $i] : refl(((~last(X)) | (~xuntil2p8(X))) <=> ((~last(X)) | (~xuntil2p8(X))))),
% 0.59/0.67 inference(bind,[status(th)],[])).
% 0.59/0.67 tff(1480,plain,
% 0.59/0.67 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(quant_intro,[status(thm)],[1479])).
% 0.59/0.67 tff(1481,plain,
% 0.59/0.67 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1482,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty12')).
% 0.59/0.67 tff(1483,plain,
% 0.59/0.67 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 0.59/0.67 tff(1484,plain,(
% 0.59/0.67 ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(skolemize,[status(sab)],[1483])).
% 0.59/0.67 tff(1485,plain,
% 0.59/0.67 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1484, 1480])).
% 0.59/0.67 tff(1486,plain,
% 0.59/0.67 (last(s49) <=> last(s49)),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1487,axiom,(last(s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound50')).
% 0.59/0.67 tff(1488,plain,
% 0.59/0.67 (last(s49)),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1487, 1486])).
% 0.59/0.67 tff(1489,plain,
% 0.59/0.67 (((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s49)) | (~xuntil2p8(s49)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s49)) | (~xuntil2p8(s49)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1490,plain,
% 0.59/0.67 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s49)) | (~xuntil2p8(s49)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1491,plain,
% 0.59/0.67 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s49)) | (~xuntil2p8(s49))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 0.59/0.67 tff(1492,plain,
% 0.59/0.67 (~xuntil2p8(s49)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1491, 1488, 1485])).
% 0.59/0.67 tff(1493,plain,
% 0.59/0.67 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 0.59/0.67 inference(bind,[status(th)],[])).
% 0.59/0.67 tff(1494,plain,
% 0.59/0.67 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(quant_intro,[status(thm)],[1493])).
% 0.59/0.67 tff(1495,plain,
% 0.59/0.67 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1496,plain,
% 0.59/0.67 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 0.59/0.67 inference(bind,[status(th)],[])).
% 0.59/0.67 tff(1497,plain,
% 0.59/0.67 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(quant_intro,[status(thm)],[1496])).
% 0.59/0.67 tff(1498,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty10')).
% 0.59/0.67 tff(1499,plain,
% 0.59/0.67 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 0.59/0.67 tff(1500,plain,
% 0.59/0.67 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1499, 1495])).
% 0.59/0.67 tff(1501,plain,(
% 0.59/0.67 ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(skolemize,[status(sab)],[1500])).
% 0.59/0.67 tff(1502,plain,
% 0.59/0.67 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1501, 1494])).
% 0.59/0.67 tff(1503,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1504,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1505,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 0.59/0.67 tff(1506,plain,
% 0.59/0.67 (node4(s49) | (~until2p7(s49))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1505, 1502, 1492])).
% 0.59/0.67 tff(1507,plain,
% 0.59/0.67 (~until2p7(s49)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1506, 584])).
% 0.59/0.67 tff(1508,plain,
% 0.59/0.67 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 0.59/0.67 inference(bind,[status(th)],[])).
% 0.59/0.67 tff(1509,plain,
% 0.59/0.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(quant_intro,[status(thm)],[1508])).
% 0.59/0.67 tff(1510,plain,
% 0.59/0.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1511,plain,
% 0.59/0.67 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 0.59/0.67 inference(bind,[status(th)],[])).
% 0.59/0.67 tff(1512,plain,
% 0.59/0.67 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(quant_intro,[status(thm)],[1511])).
% 0.59/0.67 tff(1513,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty11')).
% 0.59/0.67 tff(1514,plain,
% 0.59/0.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 0.59/0.67 tff(1515,plain,
% 0.59/0.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1514, 1510])).
% 0.59/0.67 tff(1516,plain,(
% 0.59/0.67 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(skolemize,[status(sab)],[1515])).
% 0.59/0.67 tff(1517,plain,
% 0.59/0.67 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1516, 1509])).
% 0.59/0.67 tff(1518,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1519,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1520,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 0.59/0.67 tff(1521,plain,
% 0.59/0.67 (until2p7(s49) | (~xuntil2p8(s48))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1520, 1052, 1517])).
% 0.59/0.67 tff(1522,plain,
% 0.59/0.67 (~xuntil2p8(s48)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1521, 1507])).
% 0.59/0.67 tff(1523,assumption,(~node4(s48)), introduced(assumption)).
% 0.59/0.67 tff(1524,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1525,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1526,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 0.59/0.67 tff(1527,plain,
% 0.59/0.67 (xuntil2p8(s48) | (~until2p7(s48))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1526, 1502, 1523])).
% 0.59/0.67 tff(1528,plain,
% 0.59/0.67 (~until2p7(s48)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1527, 1522])).
% 0.59/0.67 tff(1529,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1530,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1531,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 0.59/0.67 tff(1532,plain,
% 0.59/0.67 (until2p7(s48) | (~xuntil2p8(s47))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1531, 1067, 1517])).
% 0.59/0.67 tff(1533,plain,
% 0.59/0.67 (~xuntil2p8(s47)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1532, 1528])).
% 0.59/0.67 tff(1534,assumption,(~node4(s47)), introduced(assumption)).
% 0.59/0.67 tff(1535,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1536,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1537,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 0.59/0.67 tff(1538,plain,
% 0.59/0.67 (xuntil2p8(s47) | (~until2p7(s47))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1537, 1502, 1534])).
% 0.59/0.67 tff(1539,plain,
% 0.59/0.67 (~until2p7(s47)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1538, 1533])).
% 0.59/0.67 tff(1540,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1541,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1542,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 0.59/0.67 tff(1543,plain,
% 0.59/0.67 (until2p7(s47) | (~xuntil2p8(s46))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1542, 1079, 1517])).
% 0.59/0.67 tff(1544,plain,
% 0.59/0.67 (~xuntil2p8(s46)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1543, 1539])).
% 0.59/0.67 tff(1545,assumption,(~node4(s46)), introduced(assumption)).
% 0.59/0.67 tff(1546,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1547,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1548,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 0.59/0.67 tff(1549,plain,
% 0.59/0.67 (xuntil2p8(s46) | (~until2p7(s46))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1548, 1502, 1545])).
% 0.59/0.67 tff(1550,plain,
% 0.59/0.67 (~until2p7(s46)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1549, 1544])).
% 0.59/0.67 tff(1551,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1552,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1553,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 0.59/0.67 tff(1554,plain,
% 0.59/0.67 (until2p7(s46) | (~xuntil2p8(s45))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1553, 1091, 1517])).
% 0.59/0.67 tff(1555,plain,
% 0.59/0.67 (~xuntil2p8(s45)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1554, 1550])).
% 0.59/0.67 tff(1556,assumption,(~node4(s45)), introduced(assumption)).
% 0.59/0.67 tff(1557,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1558,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1559,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 0.59/0.67 tff(1560,plain,
% 0.59/0.67 (xuntil2p8(s45) | (~until2p7(s45))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1559, 1502, 1556])).
% 0.59/0.67 tff(1561,plain,
% 0.59/0.67 (~until2p7(s45)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1560, 1555])).
% 0.59/0.67 tff(1562,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1563,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1564,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1563, 1562])).
% 0.59/0.67 tff(1565,plain,
% 0.59/0.67 (until2p7(s45) | (~xuntil2p8(s44))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1564, 643, 1517])).
% 0.59/0.67 tff(1566,plain,
% 0.59/0.67 (~xuntil2p8(s44)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1565, 1561])).
% 0.59/0.67 tff(1567,assumption,(~node4(s44)), introduced(assumption)).
% 0.59/0.67 tff(1568,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1569,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1570,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 0.59/0.67 tff(1571,plain,
% 0.59/0.67 (xuntil2p8(s44) | (~until2p7(s44))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1570, 1502, 1567])).
% 0.59/0.67 tff(1572,plain,
% 0.59/0.67 (~until2p7(s44)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1571, 1566])).
% 0.59/0.67 tff(1573,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1574,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1575,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 0.59/0.67 tff(1576,plain,
% 0.59/0.67 (until2p7(s44) | (~xuntil2p8(s43))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1575, 597, 1517])).
% 0.59/0.67 tff(1577,plain,
% 0.59/0.67 (~xuntil2p8(s43)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1576, 1572])).
% 0.59/0.67 tff(1578,assumption,(~node4(s43)), introduced(assumption)).
% 0.59/0.67 tff(1579,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1580,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1581,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1580, 1579])).
% 0.59/0.67 tff(1582,plain,
% 0.59/0.67 (xuntil2p8(s43) | (~until2p7(s43))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1581, 1502, 1578])).
% 0.59/0.67 tff(1583,plain,
% 0.59/0.67 (~until2p7(s43)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1582, 1577])).
% 0.59/0.67 tff(1584,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1585,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1586,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 0.59/0.67 tff(1587,plain,
% 0.59/0.67 (until2p7(s43) | (~xuntil2p8(s42))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1586, 656, 1517])).
% 0.59/0.67 tff(1588,plain,
% 0.59/0.67 (~xuntil2p8(s42)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1587, 1583])).
% 0.59/0.67 tff(1589,assumption,(~node4(s42)), introduced(assumption)).
% 0.59/0.67 tff(1590,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1591,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1592,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 0.59/0.67 tff(1593,plain,
% 0.59/0.67 (xuntil2p8(s42) | (~until2p7(s42))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1592, 1502, 1589])).
% 0.59/0.67 tff(1594,plain,
% 0.59/0.67 (~until2p7(s42)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1593, 1588])).
% 0.59/0.67 tff(1595,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1596,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1597,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1596, 1595])).
% 0.59/0.67 tff(1598,plain,
% 0.59/0.67 (until2p7(s42) | (~xuntil2p8(s41))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1597, 668, 1517])).
% 0.59/0.67 tff(1599,plain,
% 0.59/0.67 (~xuntil2p8(s41)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1598, 1594])).
% 0.59/0.67 tff(1600,assumption,(~node4(s41)), introduced(assumption)).
% 0.59/0.67 tff(1601,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1602,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1603,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 0.59/0.67 tff(1604,plain,
% 0.59/0.67 (xuntil2p8(s41) | (~until2p7(s41))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1603, 1502, 1600])).
% 0.59/0.67 tff(1605,plain,
% 0.59/0.67 (~until2p7(s41)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1604, 1599])).
% 0.59/0.67 tff(1606,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1607,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1608,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1607, 1606])).
% 0.59/0.67 tff(1609,plain,
% 0.59/0.67 (until2p7(s41) | (~xuntil2p8(s40))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1608, 680, 1517])).
% 0.59/0.67 tff(1610,plain,
% 0.59/0.67 (~xuntil2p8(s40)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1609, 1605])).
% 0.59/0.67 tff(1611,assumption,(~node4(s40)), introduced(assumption)).
% 0.59/0.67 tff(1612,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1613,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1614,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 0.59/0.67 tff(1615,plain,
% 0.59/0.67 (xuntil2p8(s40) | (~until2p7(s40))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1614, 1502, 1611])).
% 0.59/0.67 tff(1616,plain,
% 0.59/0.67 (~until2p7(s40)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1615, 1610])).
% 0.59/0.67 tff(1617,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1618,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1619,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 0.59/0.67 tff(1620,plain,
% 0.59/0.67 (until2p7(s40) | (~xuntil2p8(s39))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1619, 692, 1517])).
% 0.59/0.67 tff(1621,plain,
% 0.59/0.67 (~xuntil2p8(s39)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1620, 1616])).
% 0.59/0.67 tff(1622,assumption,(~node4(s39)), introduced(assumption)).
% 0.59/0.67 tff(1623,plain,
% 0.59/0.67 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1624,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1625,plain,
% 0.59/0.67 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1624, 1623])).
% 0.59/0.67 tff(1626,plain,
% 0.59/0.67 (xuntil2p8(s39) | (~until2p7(s39))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1625, 1502, 1622])).
% 0.59/0.67 tff(1627,plain,
% 0.59/0.67 (~until2p7(s39)),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1626, 1621])).
% 0.59/0.67 tff(1628,plain,
% 0.59/0.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 0.59/0.67 inference(rewrite,[status(thm)],[])).
% 0.59/0.67 tff(1629,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 0.59/0.67 inference(quant_inst,[status(thm)],[])).
% 0.59/0.67 tff(1630,plain,
% 0.59/0.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 0.59/0.67 inference(modus_ponens,[status(thm)],[1629, 1628])).
% 0.59/0.67 tff(1631,plain,
% 0.59/0.67 (until2p7(s39) | (~xuntil2p8(s38))),
% 0.59/0.67 inference(unit_resolution,[status(thm)],[1630, 704, 1517])).
% 0.59/0.68 tff(1632,plain,
% 0.59/0.68 (~xuntil2p8(s38)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1631, 1627])).
% 0.59/0.68 tff(1633,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1634,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1635,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 0.59/0.68 tff(1636,plain,
% 0.59/0.68 (xuntil2p8(s38) | (~until2p7(s38))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1635, 1502, 1444])).
% 0.59/0.68 tff(1637,plain,
% 0.59/0.68 (~until2p7(s38)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1636, 1632])).
% 0.59/0.68 tff(1638,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1639,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1640,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1639, 1638])).
% 0.59/0.68 tff(1641,plain,
% 0.59/0.68 (until2p7(s38) | (~xuntil2p8(s37))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1640, 716, 1517])).
% 0.59/0.68 tff(1642,plain,
% 0.59/0.68 (~xuntil2p8(s37)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1641, 1637])).
% 0.59/0.68 tff(1643,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1644,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1645,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 0.59/0.68 tff(1646,plain,
% 0.59/0.68 (xuntil2p8(s37) | (~until2p7(s37))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1645, 1502, 1445])).
% 0.59/0.68 tff(1647,plain,
% 0.59/0.68 (~until2p7(s37)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1646, 1642])).
% 0.59/0.68 tff(1648,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1649,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1650,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1649, 1648])).
% 0.59/0.68 tff(1651,plain,
% 0.59/0.68 (until2p7(s37) | (~xuntil2p8(s36))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1650, 258, 1517])).
% 0.59/0.68 tff(1652,plain,
% 0.59/0.68 (~xuntil2p8(s36)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1651, 1647])).
% 0.59/0.68 tff(1653,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1654,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1655,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 0.59/0.68 tff(1656,plain,
% 0.59/0.68 (xuntil2p8(s36) | (~until2p7(s36))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1655, 1502, 577])).
% 0.59/0.68 tff(1657,plain,
% 0.59/0.68 (~until2p7(s36)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1656, 1652])).
% 0.59/0.68 tff(1658,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1659,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1660,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 0.59/0.68 tff(1661,plain,
% 0.59/0.68 (until2p7(s36) | (~xuntil2p8(s35))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1660, 729, 1517])).
% 0.59/0.68 tff(1662,plain,
% 0.59/0.68 (~xuntil2p8(s35)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1661, 1657])).
% 0.59/0.68 tff(1663,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1664,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1665,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1664, 1663])).
% 0.59/0.68 tff(1666,plain,
% 0.59/0.68 (xuntil2p8(s35) | (~until2p7(s35))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1665, 1502, 1446])).
% 0.59/0.68 tff(1667,plain,
% 0.59/0.68 (~until2p7(s35)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1666, 1662])).
% 0.59/0.68 tff(1668,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1669,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1670,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 0.59/0.68 tff(1671,plain,
% 0.59/0.68 (until2p7(s35) | (~xuntil2p8(s34))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1670, 741, 1517])).
% 0.59/0.68 tff(1672,plain,
% 0.59/0.68 (~xuntil2p8(s34)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1671, 1667])).
% 0.59/0.68 tff(1673,assumption,(node4(s34)), introduced(assumption)).
% 0.59/0.68 tff(1674,plain,
% 0.59/0.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1675,plain,
% 0.59/0.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1676,plain,
% 0.59/0.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1675, 1674])).
% 0.59/0.68 tff(1677,plain,
% 0.59/0.68 (m_main_v_request(s34)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1676, 20, 1673])).
% 0.59/0.68 tff(1678,plain,
% 0.59/0.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1679,plain,
% 0.59/0.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1680,plain,
% 0.59/0.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 0.59/0.68 tff(1681,plain,
% 0.59/0.68 (always3(s34)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1680, 67, 1673])).
% 0.59/0.68 tff(1682,plain,
% 0.59/0.68 (always3(s35)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[749, 1681])).
% 0.59/0.68 tff(1683,plain,
% 0.59/0.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1684,plain,
% 0.59/0.68 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1685,plain,
% 0.59/0.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s35)) | (~m_main_v_state(s35, c_busy))))),
% 0.59/0.68 inference(monotonicity,[status(thm)],[1684])).
% 0.59/0.68 tff(1686,plain,
% 0.59/0.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 0.59/0.68 inference(transitivity,[status(thm)],[1685, 1683])).
% 0.59/0.68 tff(1687,plain,
% 0.59/0.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1688,plain,
% 0.59/0.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1687, 1686])).
% 0.59/0.68 tff(1689,plain,
% 0.59/0.68 (~m_main_v_state(s35, c_busy)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1688, 93, 1682])).
% 0.59/0.68 tff(1690,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1691,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1692,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 0.59/0.68 tff(1693,plain,
% 0.59/0.68 (node2(s34, s35)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1692, 7, 745])).
% 0.59/0.68 tff(1694,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1695,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1696,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 0.59/0.68 tff(1697,plain,
% 0.59/0.68 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1696, 52, 1693])).
% 0.59/0.68 tff(1698,plain,
% 0.59/0.68 (~m_main_v_state(s34, c_ready)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1697, 1689, 1677])).
% 0.59/0.68 tff(1699,plain,
% 0.59/0.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1700,plain,
% 0.59/0.68 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1701,plain,
% 0.59/0.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s34)) | (~m_main_v_state(s34, c_busy))))),
% 0.59/0.68 inference(monotonicity,[status(thm)],[1700])).
% 0.59/0.68 tff(1702,plain,
% 0.59/0.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 0.59/0.68 inference(transitivity,[status(thm)],[1701, 1699])).
% 0.59/0.68 tff(1703,plain,
% 0.59/0.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1704,plain,
% 0.59/0.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 0.59/0.68 tff(1705,plain,
% 0.59/0.68 (~m_main_v_state(s34, c_busy)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1704, 93, 1681])).
% 0.59/0.68 tff(1706,plain,
% 0.59/0.68 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1707,plain,
% 0.59/0.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1708,plain,
% 0.59/0.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 0.59/0.68 tff(1709,plain,
% 0.59/0.68 ($false),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1708, 155, 1705, 1698])).
% 0.59/0.68 tff(1710,plain,(~node4(s34)), inference(lemma,lemma(discharge,[]))).
% 0.59/0.68 tff(1711,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1712,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1713,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1712, 1711])).
% 0.59/0.68 tff(1714,plain,
% 0.59/0.68 (xuntil2p8(s34) | (~until2p7(s34))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1713, 1502, 1710])).
% 0.59/0.68 tff(1715,plain,
% 0.59/0.68 (~until2p7(s34)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1714, 1672])).
% 0.59/0.68 tff(1716,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1717,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1718,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1717, 1716])).
% 0.59/0.68 tff(1719,plain,
% 0.59/0.68 (until2p7(s34) | (~xuntil2p8(s33))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1718, 753, 1517])).
% 0.59/0.68 tff(1720,plain,
% 0.59/0.68 (~xuntil2p8(s33)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1719, 1715])).
% 0.59/0.68 tff(1721,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1722,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1723,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 0.59/0.68 tff(1724,plain,
% 0.59/0.68 (xuntil2p8(s33) | (~until2p7(s33))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1723, 1502, 1447])).
% 0.59/0.68 tff(1725,plain,
% 0.59/0.68 (~until2p7(s33)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1724, 1720])).
% 0.59/0.68 tff(1726,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1727,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1728,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 0.59/0.68 tff(1729,plain,
% 0.59/0.68 (until2p7(s33) | (~xuntil2p8(s32))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1728, 765, 1517])).
% 0.59/0.68 tff(1730,plain,
% 0.59/0.68 (~xuntil2p8(s32)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1729, 1725])).
% 0.59/0.68 tff(1731,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1732,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1733,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 0.59/0.68 tff(1734,plain,
% 0.59/0.68 (xuntil2p8(s32) | (~until2p7(s32))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1733, 1502, 1448])).
% 0.59/0.68 tff(1735,plain,
% 0.59/0.68 (~until2p7(s32)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1734, 1730])).
% 0.59/0.68 tff(1736,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1737,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1738,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1737, 1736])).
% 0.59/0.68 tff(1739,plain,
% 0.59/0.68 (until2p7(s32) | (~xuntil2p8(s31))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1738, 777, 1517])).
% 0.59/0.68 tff(1740,plain,
% 0.59/0.68 (~xuntil2p8(s31)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1739, 1735])).
% 0.59/0.68 tff(1741,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1742,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1743,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 0.59/0.68 tff(1744,plain,
% 0.59/0.68 (xuntil2p8(s31) | (~until2p7(s31))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1743, 1502, 1449])).
% 0.59/0.68 tff(1745,plain,
% 0.59/0.68 (~until2p7(s31)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1744, 1740])).
% 0.59/0.68 tff(1746,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1747,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1748,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1747, 1746])).
% 0.59/0.68 tff(1749,plain,
% 0.59/0.68 (until2p7(s31) | (~xuntil2p8(s30))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1748, 789, 1517])).
% 0.59/0.68 tff(1750,plain,
% 0.59/0.68 (~xuntil2p8(s30)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1749, 1745])).
% 0.59/0.68 tff(1751,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1752,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1753,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 0.59/0.68 tff(1754,plain,
% 0.59/0.68 (xuntil2p8(s30) | (~until2p7(s30))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1753, 1502, 1450])).
% 0.59/0.68 tff(1755,plain,
% 0.59/0.68 (~until2p7(s30)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1754, 1750])).
% 0.59/0.68 tff(1756,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1757,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1758,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1757, 1756])).
% 0.59/0.68 tff(1759,plain,
% 0.59/0.68 (until2p7(s30) | (~xuntil2p8(s29))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1758, 801, 1517])).
% 0.59/0.68 tff(1760,plain,
% 0.59/0.68 (~xuntil2p8(s29)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1759, 1755])).
% 0.59/0.68 tff(1761,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1762,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1763,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 0.59/0.68 tff(1764,plain,
% 0.59/0.68 (xuntil2p8(s29) | (~until2p7(s29))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1763, 1502, 1451])).
% 0.59/0.68 tff(1765,plain,
% 0.59/0.68 (~until2p7(s29)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1764, 1760])).
% 0.59/0.68 tff(1766,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1767,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1768,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 0.59/0.68 tff(1769,plain,
% 0.59/0.68 (until2p7(s29) | (~xuntil2p8(s28))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1768, 813, 1517])).
% 0.59/0.68 tff(1770,plain,
% 0.59/0.68 (~xuntil2p8(s28)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1769, 1765])).
% 0.59/0.68 tff(1771,plain,
% 0.59/0.68 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1772,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1773,plain,
% 0.59/0.68 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 0.59/0.68 tff(1774,plain,
% 0.59/0.68 (xuntil2p8(s28) | (~until2p7(s28))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1773, 1502, 1452])).
% 0.59/0.68 tff(1775,plain,
% 0.59/0.68 (~until2p7(s28)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1774, 1770])).
% 0.59/0.68 tff(1776,plain,
% 0.59/0.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1777,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1778,plain,
% 0.59/0.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 0.59/0.68 tff(1779,plain,
% 0.59/0.68 (until2p7(s28) | (~xuntil2p8(s27))),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1778, 825, 1517])).
% 0.59/0.68 tff(1780,plain,
% 0.59/0.68 (~xuntil2p8(s27)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1779, 1775])).
% 0.59/0.68 tff(1781,assumption,(node4(s27)), introduced(assumption)).
% 0.59/0.68 tff(1782,plain,
% 0.59/0.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27)))),
% 0.59/0.68 inference(rewrite,[status(thm)],[])).
% 0.59/0.68 tff(1783,plain,
% 0.59/0.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 0.59/0.68 inference(quant_inst,[status(thm)],[])).
% 0.59/0.68 tff(1784,plain,
% 0.59/0.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 0.59/0.68 inference(modus_ponens,[status(thm)],[1783, 1782])).
% 0.59/0.68 tff(1785,plain,
% 0.59/0.68 (m_main_v_request(s27)),
% 0.59/0.68 inference(unit_resolution,[status(thm)],[1784, 20, 1781])).
% 0.59/0.68 tff(1786,plain,
% 0.59/0.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1787,plain,
% 0.59/0.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1788,plain,
% 0.59/0.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1787, 1786])).
% 0.59/0.69 tff(1789,plain,
% 0.59/0.69 (always3(s27)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1788, 67, 1781])).
% 0.59/0.69 tff(1790,plain,
% 0.59/0.69 (always3(s28)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[833, 1789])).
% 0.59/0.69 tff(1791,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1792,plain,
% 0.59/0.69 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1793,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s28)) | (~m_main_v_state(s28, c_busy))))),
% 0.59/0.69 inference(monotonicity,[status(thm)],[1792])).
% 0.59/0.69 tff(1794,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 0.59/0.69 inference(transitivity,[status(thm)],[1793, 1791])).
% 0.59/0.69 tff(1795,plain,
% 0.59/0.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1796,plain,
% 0.59/0.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 0.59/0.69 tff(1797,plain,
% 0.59/0.69 (~m_main_v_state(s28, c_busy)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1796, 93, 1790])).
% 0.59/0.69 tff(1798,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1799,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1800,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1799, 1798])).
% 0.59/0.69 tff(1801,plain,
% 0.59/0.69 (node2(s27, s28)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1800, 7, 829])).
% 0.59/0.69 tff(1802,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1803,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1804,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 0.59/0.69 tff(1805,plain,
% 0.59/0.69 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1804, 52, 1801])).
% 0.59/0.69 tff(1806,plain,
% 0.59/0.69 (~m_main_v_state(s27, c_ready)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1805, 1797, 1785])).
% 0.59/0.69 tff(1807,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1808,plain,
% 0.59/0.69 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1809,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s27)) | (~m_main_v_state(s27, c_busy))))),
% 0.59/0.69 inference(monotonicity,[status(thm)],[1808])).
% 0.59/0.69 tff(1810,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 0.59/0.69 inference(transitivity,[status(thm)],[1809, 1807])).
% 0.59/0.69 tff(1811,plain,
% 0.59/0.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1812,plain,
% 0.59/0.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 0.59/0.69 tff(1813,plain,
% 0.59/0.69 (~m_main_v_state(s27, c_busy)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1812, 93, 1789])).
% 0.59/0.69 tff(1814,plain,
% 0.59/0.69 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1815,plain,
% 0.59/0.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1816,plain,
% 0.59/0.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready)),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1815, 1814])).
% 0.59/0.69 tff(1817,plain,
% 0.59/0.69 ($false),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1816, 155, 1813, 1806])).
% 0.59/0.69 tff(1818,plain,(~node4(s27)), inference(lemma,lemma(discharge,[]))).
% 0.59/0.69 tff(1819,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1820,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1821,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 0.59/0.69 tff(1822,plain,
% 0.59/0.69 (xuntil2p8(s27) | (~until2p7(s27))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1821, 1502, 1818])).
% 0.59/0.69 tff(1823,plain,
% 0.59/0.69 (~until2p7(s27)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1822, 1780])).
% 0.59/0.69 tff(1824,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1825,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1826,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1825, 1824])).
% 0.59/0.69 tff(1827,plain,
% 0.59/0.69 (until2p7(s27) | (~xuntil2p8(s26))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1826, 837, 1517])).
% 0.59/0.69 tff(1828,plain,
% 0.59/0.69 (~xuntil2p8(s26)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1827, 1823])).
% 0.59/0.69 tff(1829,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1830,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1831,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1830, 1829])).
% 0.59/0.69 tff(1832,plain,
% 0.59/0.69 (xuntil2p8(s26) | (~until2p7(s26))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1831, 1502, 1453])).
% 0.59/0.69 tff(1833,plain,
% 0.59/0.69 (~until2p7(s26)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1832, 1828])).
% 0.59/0.69 tff(1834,plain,
% 0.59/0.69 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 0.59/0.69 inference(bind,[status(th)],[])).
% 0.59/0.69 tff(1835,plain,
% 0.59/0.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(quant_intro,[status(thm)],[1834])).
% 0.59/0.69 tff(1836,plain,
% 0.59/0.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1837,plain,
% 0.59/0.69 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p7(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~trans(X, Y)) | (~last(X)) | until2p7(Y))), ((((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X))) <=> (((~trans(X, Y)) | (~last(X)) | until2p7(Y)) | (~xuntil6(X))))), rewrite((((~trans(X, Y)) | (~last(X)) | until2p7(Y)) | (~xuntil6(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))), ((((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))))),
% 0.59/0.69 inference(bind,[status(th)],[])).
% 0.59/0.69 tff(1838,plain,
% 0.59/0.69 (![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(quant_intro,[status(thm)],[1837])).
% 0.59/0.69 tff(1839,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 0.59/0.69 tff(1840,plain,
% 0.59/0.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 0.59/0.69 tff(1841,plain,
% 0.59/0.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1840, 1836])).
% 0.59/0.69 tff(1842,plain,(
% 0.59/0.69 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(skolemize,[status(sab)],[1841])).
% 0.59/0.69 tff(1843,plain,
% 0.59/0.69 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1842, 1835])).
% 0.59/0.69 tff(1844,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1845,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1846,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 0.59/0.69 tff(1847,plain,
% 0.59/0.69 (until2p7(s26) | (~xuntil2p8(s25))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1846, 849, 1517])).
% 0.59/0.69 tff(1848,plain,
% 0.59/0.69 (~xuntil2p8(s25)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1847, 1833])).
% 0.59/0.69 tff(1849,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1850,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1851,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 0.59/0.69 tff(1852,plain,
% 0.59/0.69 (xuntil2p8(s25) | (~until2p7(s25))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1851, 1502, 1454])).
% 0.59/0.69 tff(1853,plain,
% 0.59/0.69 (~until2p7(s25)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1852, 1848])).
% 0.59/0.69 tff(1854,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1855,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1856,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1855, 1854])).
% 0.59/0.69 tff(1857,plain,
% 0.59/0.69 (until2p7(s25) | (~xuntil2p8(s24))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1856, 494, 1517])).
% 0.59/0.69 tff(1858,plain,
% 0.59/0.69 (~xuntil2p8(s24)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1857, 1853])).
% 0.59/0.69 tff(1859,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1860,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1861,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 0.59/0.69 tff(1862,plain,
% 0.59/0.69 (xuntil2p8(s24) | (~until2p7(s24))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1861, 1502, 579])).
% 0.59/0.69 tff(1863,plain,
% 0.59/0.69 (~until2p7(s24)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1862, 1858])).
% 0.59/0.69 tff(1864,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1865,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1866,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 0.59/0.69 tff(1867,plain,
% 0.59/0.69 (until2p7(s24) | (~xuntil2p8(s23))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1866, 862, 1517])).
% 0.59/0.69 tff(1868,plain,
% 0.59/0.69 (~xuntil2p8(s23)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1867, 1863])).
% 0.59/0.69 tff(1869,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1870,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1871,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 0.59/0.69 tff(1872,plain,
% 0.59/0.69 (xuntil2p8(s23) | (~until2p7(s23))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1871, 1502, 1455])).
% 0.59/0.69 tff(1873,plain,
% 0.59/0.69 (~until2p7(s23)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1872, 1868])).
% 0.59/0.69 tff(1874,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1875,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1876,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 0.59/0.69 tff(1877,plain,
% 0.59/0.69 (until2p7(s23) | (~xuntil2p8(s22))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1876, 874, 1517])).
% 0.59/0.69 tff(1878,plain,
% 0.59/0.69 (~xuntil2p8(s22)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1877, 1873])).
% 0.59/0.69 tff(1879,assumption,(node4(s22)), introduced(assumption)).
% 0.59/0.69 tff(1880,plain,
% 0.59/0.69 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1881,plain,
% 0.59/0.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1882,plain,
% 0.59/0.69 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1881, 1880])).
% 0.59/0.69 tff(1883,plain,
% 0.59/0.69 (m_main_v_request(s22)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1882, 20, 1879])).
% 0.59/0.69 tff(1884,plain,
% 0.59/0.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1885,plain,
% 0.59/0.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1886,plain,
% 0.59/0.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 0.59/0.69 tff(1887,plain,
% 0.59/0.69 (always3(s22)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1886, 67, 1879])).
% 0.59/0.69 tff(1888,plain,
% 0.59/0.69 (always3(s23)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[882, 1887])).
% 0.59/0.69 tff(1889,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1890,plain,
% 0.59/0.69 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1891,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s23)) | (~m_main_v_state(s23, c_busy))))),
% 0.59/0.69 inference(monotonicity,[status(thm)],[1890])).
% 0.59/0.69 tff(1892,plain,
% 0.59/0.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 0.59/0.69 inference(transitivity,[status(thm)],[1891, 1889])).
% 0.59/0.69 tff(1893,plain,
% 0.59/0.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1894,plain,
% 0.59/0.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 0.59/0.69 tff(1895,plain,
% 0.59/0.69 (~m_main_v_state(s23, c_busy)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1894, 93, 1888])).
% 0.59/0.69 tff(1896,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1897,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1898,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 0.59/0.69 tff(1899,plain,
% 0.59/0.69 (node2(s22, s23)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1898, 7, 878])).
% 0.59/0.69 tff(1900,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1901,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1902,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 0.59/0.69 tff(1903,plain,
% 0.59/0.69 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1902, 52, 1899])).
% 0.59/0.69 tff(1904,plain,
% 0.59/0.69 (~m_main_v_state(s22, c_ready)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1903, 1895, 1883])).
% 0.59/0.69 tff(1905,plain,
% 0.59/0.69 (~m_main_v_state(s22, c_busy)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[374, 93, 1887])).
% 0.59/0.69 tff(1906,plain,
% 0.59/0.69 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1907,plain,
% 0.59/0.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1908,plain,
% 0.59/0.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready)),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 0.59/0.69 tff(1909,plain,
% 0.59/0.69 ($false),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1908, 155, 1905, 1904])).
% 0.59/0.69 tff(1910,plain,(~node4(s22)), inference(lemma,lemma(discharge,[]))).
% 0.59/0.69 tff(1911,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1912,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1913,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 0.59/0.69 tff(1914,plain,
% 0.59/0.69 (xuntil2p8(s22) | (~until2p7(s22))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1913, 1502, 1910])).
% 0.59/0.69 tff(1915,plain,
% 0.59/0.69 (~until2p7(s22)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1914, 1878])).
% 0.59/0.69 tff(1916,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1917,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1918,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 0.59/0.69 tff(1919,plain,
% 0.59/0.69 (until2p7(s22) | (~xuntil2p8(s21))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1918, 359, 1517])).
% 0.59/0.69 tff(1920,plain,
% 0.59/0.69 (~xuntil2p8(s21)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1919, 1915])).
% 0.59/0.69 tff(1921,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1922,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1923,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 0.59/0.69 tff(1924,plain,
% 0.59/0.69 (xuntil2p8(s21) | (~until2p7(s21))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1923, 1502, 582])).
% 0.59/0.69 tff(1925,plain,
% 0.59/0.69 (~until2p7(s21)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1924, 1920])).
% 0.59/0.69 tff(1926,plain,
% 0.59/0.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1927,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1928,plain,
% 0.59/0.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 0.59/0.69 inference(modus_ponens,[status(thm)],[1927, 1926])).
% 0.59/0.69 tff(1929,plain,
% 0.59/0.69 (until2p7(s21) | (~xuntil2p8(s20))),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1928, 543, 1517])).
% 0.59/0.69 tff(1930,plain,
% 0.59/0.69 (~xuntil2p8(s20)),
% 0.59/0.69 inference(unit_resolution,[status(thm)],[1929, 1925])).
% 0.59/0.69 tff(1931,plain,
% 0.59/0.69 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 0.59/0.69 inference(rewrite,[status(thm)],[])).
% 0.59/0.69 tff(1932,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 0.59/0.69 inference(quant_inst,[status(thm)],[])).
% 0.59/0.69 tff(1933,plain,
% 0.59/0.69 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 0.59/0.70 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 0.59/0.70 tff(1934,plain,
% 0.59/0.70 (xuntil2p8(s20) | (~until2p7(s20))),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1933, 1502, 1456])).
% 0.59/0.70 tff(1935,plain,
% 0.59/0.70 (~until2p7(s20)),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1934, 1930])).
% 0.59/0.70 tff(1936,plain,
% 0.59/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 0.59/0.70 inference(rewrite,[status(thm)],[])).
% 0.59/0.70 tff(1937,plain,
% 0.59/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 0.59/0.70 inference(quant_inst,[status(thm)],[])).
% 0.59/0.70 tff(1938,plain,
% 0.59/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 0.59/0.70 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 0.59/0.70 tff(1939,plain,
% 0.59/0.70 (until2p7(s20) | (~xuntil2p8(s19))),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1938, 888, 1517])).
% 0.59/0.70 tff(1940,plain,
% 0.59/0.70 (~xuntil2p8(s19)),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1939, 1935])).
% 0.59/0.70 tff(1941,plain,
% 0.59/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 0.59/0.70 inference(rewrite,[status(thm)],[])).
% 0.59/0.70 tff(1942,plain,
% 0.59/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 0.59/0.70 inference(quant_inst,[status(thm)],[])).
% 0.59/0.70 tff(1943,plain,
% 0.59/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 0.59/0.70 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 0.59/0.70 tff(1944,plain,
% 0.59/0.70 (xuntil2p8(s19) | (~until2p7(s19))),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1943, 1502, 1457])).
% 0.59/0.70 tff(1945,plain,
% 0.59/0.70 (~until2p7(s19)),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1944, 1940])).
% 0.59/0.70 tff(1946,plain,
% 0.59/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 0.59/0.70 inference(rewrite,[status(thm)],[])).
% 0.59/0.70 tff(1947,plain,
% 0.59/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 0.59/0.70 inference(quant_inst,[status(thm)],[])).
% 0.59/0.70 tff(1948,plain,
% 0.59/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 0.59/0.70 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 0.59/0.70 tff(1949,plain,
% 0.59/0.70 (until2p7(s19) | (~xuntil2p8(s18))),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1948, 451, 1517])).
% 0.59/0.70 tff(1950,plain,
% 0.59/0.70 (~xuntil2p8(s18)),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1949, 1945])).
% 0.59/0.70 tff(1951,plain,
% 0.59/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 0.59/0.70 inference(rewrite,[status(thm)],[])).
% 0.59/0.70 tff(1952,plain,
% 0.59/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 0.59/0.70 inference(quant_inst,[status(thm)],[])).
% 0.59/0.70 tff(1953,plain,
% 0.59/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 0.59/0.70 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 0.59/0.70 tff(1954,plain,
% 0.59/0.70 (xuntil2p8(s18) | (~until2p7(s18))),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1953, 1502, 578])).
% 0.59/0.70 tff(1955,plain,
% 0.59/0.70 (~until2p7(s18)),
% 0.59/0.70 inference(unit_resolution,[status(thm)],[1954, 1950])).
% 0.59/0.70 tff(1956,plain,
% 0.59/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1957,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1958,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 0.64/0.70 tff(1959,plain,
% 0.64/0.70 (until2p7(s18) | (~xuntil2p8(s17))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1958, 308, 1517])).
% 0.64/0.70 tff(1960,plain,
% 0.64/0.70 (~xuntil2p8(s17)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1959, 1955])).
% 0.64/0.70 tff(1961,plain,
% 0.64/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1962,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1963,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 0.64/0.70 tff(1964,plain,
% 0.64/0.70 (xuntil2p8(s17) | (~until2p7(s17))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1963, 1502, 585])).
% 0.64/0.70 tff(1965,plain,
% 0.64/0.70 (~until2p7(s17)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1964, 1960])).
% 0.64/0.70 tff(1966,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1967,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1968,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 0.64/0.70 tff(1969,plain,
% 0.64/0.70 (until2p7(s17) | (~xuntil2p8(s16))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1968, 902, 1517])).
% 0.64/0.70 tff(1970,plain,
% 0.64/0.70 (~xuntil2p8(s16)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1969, 1965])).
% 0.64/0.70 tff(1971,plain,
% 0.64/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1972,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1973,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 0.64/0.70 tff(1974,plain,
% 0.64/0.70 (xuntil2p8(s16) | (~until2p7(s16))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1973, 1502, 1458])).
% 0.64/0.70 tff(1975,plain,
% 0.64/0.70 (~until2p7(s16)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1974, 1970])).
% 0.64/0.70 tff(1976,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1977,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1978,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1977, 1976])).
% 0.64/0.70 tff(1979,plain,
% 0.64/0.70 (until2p7(s16) | (~xuntil2p8(s15))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1978, 914, 1517])).
% 0.64/0.70 tff(1980,plain,
% 0.64/0.70 (~xuntil2p8(s15)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1979, 1975])).
% 0.64/0.70 tff(1981,plain,
% 0.64/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1982,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1983,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 0.64/0.70 tff(1984,plain,
% 0.64/0.70 (xuntil2p8(s15) | (~until2p7(s15))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1983, 1502, 1459])).
% 0.64/0.70 tff(1985,plain,
% 0.64/0.70 (~until2p7(s15)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1984, 1980])).
% 0.64/0.70 tff(1986,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1987,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1988,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 0.64/0.70 tff(1989,plain,
% 0.64/0.70 (until2p7(s15) | (~xuntil2p8(s14))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1988, 926, 1517])).
% 0.64/0.70 tff(1990,plain,
% 0.64/0.70 (~xuntil2p8(s14)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1989, 1985])).
% 0.64/0.70 tff(1991,plain,
% 0.64/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(1992,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(1993,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 0.64/0.70 tff(1994,plain,
% 0.64/0.70 (xuntil2p8(s14) | (~until2p7(s14))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1993, 1502, 1460])).
% 0.64/0.70 tff(1995,plain,
% 0.64/0.70 (~until2p7(s14)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[1994, 1990])).
% 0.64/0.70 tff(1996,assumption,(xuntil6(s49)), introduced(assumption)).
% 0.64/0.70 tff(1997,assumption,(~until2p7(s14)), introduced(assumption)).
% 0.64/0.70 tff(1998,assumption,(trans(s49, s14)), introduced(assumption)).
% 0.64/0.70 tff(1999,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s14)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2000,plain,
% 0.64/0.70 (((~trans(s49, s14)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s14)) <=> (until2p7(s14) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s14)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2001,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s14)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s14))))),
% 0.64/0.70 inference(monotonicity,[status(thm)],[2000])).
% 0.64/0.70 tff(2002,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s14)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s14)))),
% 0.64/0.70 inference(transitivity,[status(thm)],[2001, 1999])).
% 0.64/0.70 tff(2003,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s14)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s14))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2004,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s14))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 0.64/0.70 tff(2005,plain,
% 0.64/0.70 ($false),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2004, 1488, 1998, 1843, 1997, 1996])).
% 0.64/0.70 tff(2006,plain,((~trans(s49, s14)) | until2p7(s14) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.70 tff(2007,plain,
% 0.64/0.70 (~trans(s49, s14)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2006, 1995, 1478])).
% 0.64/0.70 tff(2008,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2009,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2010,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2009, 2008])).
% 0.64/0.70 tff(2011,plain,
% 0.64/0.70 (until2p7(s14) | (~xuntil2p8(s13))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2010, 938, 1517])).
% 0.64/0.70 tff(2012,plain,
% 0.64/0.70 (~xuntil2p8(s13)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2011, 1995])).
% 0.64/0.70 tff(2013,plain,
% 0.64/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2014,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2015,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 0.64/0.70 tff(2016,plain,
% 0.64/0.70 (xuntil2p8(s13) | (~until2p7(s13))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2015, 1502, 1461])).
% 0.64/0.70 tff(2017,plain,
% 0.64/0.70 (~until2p7(s13)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2016, 2012])).
% 0.64/0.70 tff(2018,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2019,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2020,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 0.64/0.70 tff(2021,plain,
% 0.64/0.70 (until2p7(s13) | (~xuntil2p8(s12))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2020, 950, 1517])).
% 0.64/0.70 tff(2022,plain,
% 0.64/0.70 (~xuntil2p8(s12)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2021, 2017])).
% 0.64/0.70 tff(2023,plain,
% 0.64/0.70 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2024,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2025,plain,
% 0.64/0.70 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 0.64/0.70 tff(2026,plain,
% 0.64/0.70 (xuntil2p8(s12) | (~until2p7(s12))),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2025, 1502, 1462])).
% 0.64/0.70 tff(2027,plain,
% 0.64/0.70 (~until2p7(s12)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2026, 2022])).
% 0.64/0.70 tff(2028,assumption,(~until2p7(s12)), introduced(assumption)).
% 0.64/0.70 tff(2029,assumption,(trans(s49, s12)), introduced(assumption)).
% 0.64/0.70 tff(2030,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s12)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2031,plain,
% 0.64/0.70 (((~trans(s49, s12)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s12)) <=> (until2p7(s12) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s12)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2032,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s12)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s12))))),
% 0.64/0.70 inference(monotonicity,[status(thm)],[2031])).
% 0.64/0.70 tff(2033,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s12)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s12)))),
% 0.64/0.70 inference(transitivity,[status(thm)],[2032, 2030])).
% 0.64/0.70 tff(2034,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s12)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s12))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2035,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s12))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2034, 2033])).
% 0.64/0.70 tff(2036,plain,
% 0.64/0.70 ($false),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2035, 1488, 2029, 1843, 2028, 1996])).
% 0.64/0.70 tff(2037,plain,((~trans(s49, s12)) | until2p7(s12) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.70 tff(2038,plain,
% 0.64/0.70 (~trans(s49, s12)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2037, 2027, 1478])).
% 0.64/0.70 tff(2039,assumption,(~until2p7(s32)), introduced(assumption)).
% 0.64/0.70 tff(2040,assumption,(trans(s49, s32)), introduced(assumption)).
% 0.64/0.70 tff(2041,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s32)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2042,plain,
% 0.64/0.70 (((~trans(s49, s32)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s32)) <=> (until2p7(s32) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s32)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2043,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s32)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s32))))),
% 0.64/0.70 inference(monotonicity,[status(thm)],[2042])).
% 0.64/0.70 tff(2044,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s32)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s32)))),
% 0.64/0.70 inference(transitivity,[status(thm)],[2043, 2041])).
% 0.64/0.70 tff(2045,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s32)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s32))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2046,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s32))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2045, 2044])).
% 0.64/0.70 tff(2047,plain,
% 0.64/0.70 ($false),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2046, 1488, 2040, 1843, 2039, 1996])).
% 0.64/0.70 tff(2048,plain,((~trans(s49, s32)) | until2p7(s32) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.70 tff(2049,plain,
% 0.64/0.70 (~trans(s49, s32)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2048, 1735, 1478])).
% 0.64/0.70 tff(2050,assumption,(~until2p7(s16)), introduced(assumption)).
% 0.64/0.70 tff(2051,assumption,(trans(s49, s16)), introduced(assumption)).
% 0.64/0.70 tff(2052,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s16)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2053,plain,
% 0.64/0.70 (((~trans(s49, s16)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s16)) <=> (until2p7(s16) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s16)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2054,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s16)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s16))))),
% 0.64/0.70 inference(monotonicity,[status(thm)],[2053])).
% 0.64/0.70 tff(2055,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s16)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s16)))),
% 0.64/0.70 inference(transitivity,[status(thm)],[2054, 2052])).
% 0.64/0.70 tff(2056,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s16)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s16))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2057,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s16))),
% 0.64/0.70 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 0.64/0.70 tff(2058,plain,
% 0.64/0.70 ($false),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2057, 1488, 2051, 1843, 2050, 1996])).
% 0.64/0.70 tff(2059,plain,((~trans(s49, s16)) | until2p7(s16) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.70 tff(2060,plain,
% 0.64/0.70 (~trans(s49, s16)),
% 0.64/0.70 inference(unit_resolution,[status(thm)],[2059, 1975, 1478])).
% 0.64/0.70 tff(2061,plain,
% 0.64/0.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 0.64/0.70 inference(rewrite,[status(thm)],[])).
% 0.64/0.70 tff(2062,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 0.64/0.70 inference(quant_inst,[status(thm)],[])).
% 0.64/0.70 tff(2063,plain,
% 0.64/0.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2062, 2061])).
% 0.64/0.71 tff(2064,plain,
% 0.64/0.71 (until2p7(s12) | (~xuntil2p8(s11))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2063, 408, 1517])).
% 0.64/0.71 tff(2065,plain,
% 0.64/0.71 (~xuntil2p8(s11)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2064, 2027])).
% 0.64/0.71 tff(2066,plain,
% 0.64/0.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2067,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2068,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 0.64/0.71 tff(2069,plain,
% 0.64/0.71 (xuntil2p8(s11) | (~until2p7(s11))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2068, 1502, 581])).
% 0.64/0.71 tff(2070,plain,
% 0.64/0.71 (~until2p7(s11)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2069, 2065])).
% 0.64/0.71 tff(2071,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2072,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2073,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 0.64/0.71 tff(2074,plain,
% 0.64/0.71 (until2p7(s11) | (~xuntil2p8(s10))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2073, 113, 1517])).
% 0.64/0.71 tff(2075,plain,
% 0.64/0.71 (~xuntil2p8(s10)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2074, 2070])).
% 0.64/0.71 tff(2076,plain,
% 0.64/0.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2077,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2078,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 0.64/0.71 tff(2079,plain,
% 0.64/0.71 (xuntil2p8(s10) | (~until2p7(s10))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2078, 1502, 580])).
% 0.64/0.71 tff(2080,plain,
% 0.64/0.71 (~until2p7(s10)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2079, 2075])).
% 0.64/0.71 tff(2081,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2082,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2083,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2082, 2081])).
% 0.64/0.71 tff(2084,plain,
% 0.64/0.71 (until2p7(s10) | (~xuntil2p8(s9))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2083, 172, 1517])).
% 0.64/0.71 tff(2085,plain,
% 0.64/0.71 (~xuntil2p8(s9)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2084, 2080])).
% 0.64/0.71 tff(2086,plain,
% 0.64/0.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2087,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2088,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 0.64/0.71 tff(2089,plain,
% 0.64/0.71 (xuntil2p8(s9) | (~until2p7(s9))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2088, 1502, 576])).
% 0.64/0.71 tff(2090,plain,
% 0.64/0.71 (~until2p7(s9)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2089, 2085])).
% 0.64/0.71 tff(2091,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2092,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2093,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 0.64/0.71 tff(2094,plain,
% 0.64/0.71 (until2p7(s9) | (~xuntil2p8(s8))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2093, 965, 1517])).
% 0.64/0.71 tff(2095,plain,
% 0.64/0.71 (~xuntil2p8(s8)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2094, 2090])).
% 0.64/0.71 tff(2096,plain,
% 0.64/0.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2097,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2098,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 0.64/0.71 tff(2099,plain,
% 0.64/0.71 (xuntil2p8(s8) | (~until2p7(s8))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2098, 1502, 1463])).
% 0.64/0.71 tff(2100,plain,
% 0.64/0.71 (~until2p7(s8)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2099, 2095])).
% 0.64/0.71 tff(2101,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2102,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2103,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 0.64/0.71 tff(2104,plain,
% 0.64/0.71 (until2p7(s8) | (~xuntil2p8(s7))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2103, 977, 1517])).
% 0.64/0.71 tff(2105,plain,
% 0.64/0.71 (~xuntil2p8(s7)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2104, 2100])).
% 0.64/0.71 tff(2106,plain,
% 0.64/0.71 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2107,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2108,plain,
% 0.64/0.71 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 0.64/0.71 tff(2109,plain,
% 0.64/0.71 (xuntil2p8(s7) | (~until2p7(s7))),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2108, 1502, 1464])).
% 0.64/0.71 tff(2110,plain,
% 0.64/0.71 (~until2p7(s7)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2109, 2105])).
% 0.64/0.71 tff(2111,assumption,(~until2p7(s7)), introduced(assumption)).
% 0.64/0.71 tff(2112,assumption,(trans(s49, s7)), introduced(assumption)).
% 0.64/0.71 tff(2113,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s7)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2114,plain,
% 0.64/0.71 (((~trans(s49, s7)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s7)) <=> (until2p7(s7) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s7)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2115,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s7)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s7))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2114])).
% 0.64/0.71 tff(2116,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s7)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s7)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2115, 2113])).
% 0.64/0.71 tff(2117,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s7)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s7))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2118,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s7))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 0.64/0.71 tff(2119,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2118, 1488, 2112, 1843, 2111, 1996])).
% 0.64/0.71 tff(2120,plain,((~trans(s49, s7)) | until2p7(s7) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2121,plain,
% 0.64/0.71 (~trans(s49, s7)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2120, 2110, 1478])).
% 0.64/0.71 tff(2122,assumption,(~until2p7(s45)), introduced(assumption)).
% 0.64/0.71 tff(2123,assumption,(trans(s49, s45)), introduced(assumption)).
% 0.64/0.71 tff(2124,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s45)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2125,plain,
% 0.64/0.71 (((~trans(s49, s45)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s45)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2126,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s45)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s45))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2125])).
% 0.64/0.71 tff(2127,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s45)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s45)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2126, 2124])).
% 0.64/0.71 tff(2128,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s45)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s45))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2129,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s45))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 0.64/0.71 tff(2130,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2129, 1488, 2123, 1843, 2122, 1996])).
% 0.64/0.71 tff(2131,plain,((~trans(s49, s45)) | until2p7(s45) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2132,plain,
% 0.64/0.71 (~trans(s49, s45)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2131, 1561, 1478])).
% 0.64/0.71 tff(2133,assumption,(~until2p7(s25)), introduced(assumption)).
% 0.64/0.71 tff(2134,assumption,(trans(s49, s25)), introduced(assumption)).
% 0.64/0.71 tff(2135,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s25)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2136,plain,
% 0.64/0.71 (((~trans(s49, s25)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s25)) <=> (until2p7(s25) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s25)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2137,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s25)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s25))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2136])).
% 0.64/0.71 tff(2138,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s25)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s25)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2137, 2135])).
% 0.64/0.71 tff(2139,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s25)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s25))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2140,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s25))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2139, 2138])).
% 0.64/0.71 tff(2141,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2140, 1488, 2134, 1843, 2133, 1996])).
% 0.64/0.71 tff(2142,plain,((~trans(s49, s25)) | until2p7(s25) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2143,plain,
% 0.64/0.71 (~trans(s49, s25)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2142, 1853, 1478])).
% 0.64/0.71 tff(2144,assumption,(~until2p7(s49)), introduced(assumption)).
% 0.64/0.71 tff(2145,assumption,(trans(s49, s49)), introduced(assumption)).
% 0.64/0.71 tff(2146,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s49)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2147,plain,
% 0.64/0.71 (((~trans(s49, s49)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s49)) <=> (until2p7(s49) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s49)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2148,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s49)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s49))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2147])).
% 0.64/0.71 tff(2149,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s49)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s49)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2148, 2146])).
% 0.64/0.71 tff(2150,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s49)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s49))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2151,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s49))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2150, 2149])).
% 0.64/0.71 tff(2152,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2151, 1488, 2145, 1843, 2144, 1996])).
% 0.64/0.71 tff(2153,plain,((~trans(s49, s49)) | until2p7(s49) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2154,plain,
% 0.64/0.71 (~trans(s49, s49)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2153, 1507, 1478])).
% 0.64/0.71 tff(2155,assumption,(~until2p7(s29)), introduced(assumption)).
% 0.64/0.71 tff(2156,assumption,(trans(s49, s29)), introduced(assumption)).
% 0.64/0.71 tff(2157,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s29)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2158,plain,
% 0.64/0.71 (((~trans(s49, s29)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s29)) <=> (until2p7(s29) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s29)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2159,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s29)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s29))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2158])).
% 0.64/0.71 tff(2160,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s29)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s29)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2159, 2157])).
% 0.64/0.71 tff(2161,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s29)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s29))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2162,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s29))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2161, 2160])).
% 0.64/0.71 tff(2163,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2162, 1488, 2156, 1843, 2155, 1996])).
% 0.64/0.71 tff(2164,plain,((~trans(s49, s29)) | until2p7(s29) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2165,plain,
% 0.64/0.71 (~trans(s49, s29)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2164, 1765, 1478])).
% 0.64/0.71 tff(2166,assumption,(~until2p7(s36)), introduced(assumption)).
% 0.64/0.71 tff(2167,assumption,(trans(s49, s36)), introduced(assumption)).
% 0.64/0.71 tff(2168,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s36)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2169,plain,
% 0.64/0.71 (((~trans(s49, s36)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s36)) <=> (until2p7(s36) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s36)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2170,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s36)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s36))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2169])).
% 0.64/0.71 tff(2171,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s36)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s36)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2170, 2168])).
% 0.64/0.71 tff(2172,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s36)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s36))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2173,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s36))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 0.64/0.71 tff(2174,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2173, 1488, 2167, 1843, 2166, 1996])).
% 0.64/0.71 tff(2175,plain,((~trans(s49, s36)) | until2p7(s36) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2176,plain,
% 0.64/0.71 (~trans(s49, s36)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2175, 1657, 1478])).
% 0.64/0.71 tff(2177,assumption,(~until2p7(s46)), introduced(assumption)).
% 0.64/0.71 tff(2178,assumption,(trans(s49, s46)), introduced(assumption)).
% 0.64/0.71 tff(2179,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s46)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2180,plain,
% 0.64/0.71 (((~trans(s49, s46)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s46)) <=> (until2p7(s46) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s46)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.71 tff(2181,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s46)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s46))))),
% 0.64/0.71 inference(monotonicity,[status(thm)],[2180])).
% 0.64/0.71 tff(2182,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s46)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s46)))),
% 0.64/0.71 inference(transitivity,[status(thm)],[2181, 2179])).
% 0.64/0.71 tff(2183,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s46)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s46))),
% 0.64/0.71 inference(quant_inst,[status(thm)],[])).
% 0.64/0.71 tff(2184,plain,
% 0.64/0.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s46))),
% 0.64/0.71 inference(modus_ponens,[status(thm)],[2183, 2182])).
% 0.64/0.71 tff(2185,plain,
% 0.64/0.71 ($false),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2184, 1488, 2178, 1843, 2177, 1996])).
% 0.64/0.71 tff(2186,plain,((~trans(s49, s46)) | until2p7(s46) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.71 tff(2187,plain,
% 0.64/0.71 (~trans(s49, s46)),
% 0.64/0.71 inference(unit_resolution,[status(thm)],[2186, 1550, 1478])).
% 0.64/0.71 tff(2188,plain,
% 0.64/0.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 0.64/0.71 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2189,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2190,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 0.64/0.72 tff(2191,plain,
% 0.64/0.72 (until2p7(s7) | (~xuntil2p8(s6))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2190, 989, 1517])).
% 0.64/0.72 tff(2192,plain,
% 0.64/0.72 (~xuntil2p8(s6)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2191, 2110])).
% 0.64/0.72 tff(2193,plain,
% 0.64/0.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2194,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2195,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2194, 2193])).
% 0.64/0.72 tff(2196,plain,
% 0.64/0.72 (xuntil2p8(s6) | (~until2p7(s6))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2195, 1502, 1465])).
% 0.64/0.72 tff(2197,plain,
% 0.64/0.72 (~until2p7(s6)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2196, 2192])).
% 0.64/0.72 tff(2198,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2199,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2200,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 0.64/0.72 tff(2201,plain,
% 0.64/0.72 (until2p7(s6) | (~xuntil2p8(s5))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2200, 1001, 1517])).
% 0.64/0.72 tff(2202,plain,
% 0.64/0.72 (~xuntil2p8(s5)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2201, 2197])).
% 0.64/0.72 tff(2203,plain,
% 0.64/0.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2204,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2205,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2204, 2203])).
% 0.64/0.72 tff(2206,plain,
% 0.64/0.72 (xuntil2p8(s5) | (~until2p7(s5))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2205, 1502, 1466])).
% 0.64/0.72 tff(2207,plain,
% 0.64/0.72 (~until2p7(s5)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2206, 2202])).
% 0.64/0.72 tff(2208,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2209,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2210,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2209, 2208])).
% 0.64/0.72 tff(2211,plain,
% 0.64/0.72 (until2p7(s5) | (~xuntil2p8(s4))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2210, 1013, 1517])).
% 0.64/0.72 tff(2212,plain,
% 0.64/0.72 (~xuntil2p8(s4)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2211, 2207])).
% 0.64/0.72 tff(2213,plain,
% 0.64/0.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2214,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2215,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2214, 2213])).
% 0.64/0.72 tff(2216,plain,
% 0.64/0.72 (xuntil2p8(s4) | (~until2p7(s4))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2215, 1502, 1467])).
% 0.64/0.72 tff(2217,plain,
% 0.64/0.72 (~until2p7(s4)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2216, 2212])).
% 0.64/0.72 tff(2218,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2219,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2220,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 0.64/0.72 tff(2221,plain,
% 0.64/0.72 (until2p7(s4) | (~xuntil2p8(s3))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2220, 1025, 1517])).
% 0.64/0.72 tff(2222,plain,
% 0.64/0.72 (~xuntil2p8(s3)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2221, 2217])).
% 0.64/0.72 tff(2223,plain,
% 0.64/0.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2224,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2225,plain,
% 0.64/0.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2224, 2223])).
% 0.64/0.72 tff(2226,plain,
% 0.64/0.72 (xuntil2p8(s3) | (~until2p7(s3))),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2225, 1502, 1468])).
% 0.64/0.72 tff(2227,plain,
% 0.64/0.72 (~until2p7(s3)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2226, 2222])).
% 0.64/0.72 tff(2228,assumption,(~until2p7(s3)), introduced(assumption)).
% 0.64/0.72 tff(2229,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s3)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2230,plain,
% 0.64/0.72 (((~trans(s49, s3)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s3)) <=> (until2p7(s3) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s3)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2231,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s3)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s3))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2230])).
% 0.64/0.72 tff(2232,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s3)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s3)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2231, 2229])).
% 0.64/0.72 tff(2233,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s3)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s3))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2234,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s3))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 0.64/0.72 tff(2235,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2234, 1488, 8, 1843, 2228, 1996])).
% 0.64/0.72 tff(2236,plain,((~trans(s49, s3)) | until2p7(s3) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2237,plain,
% 0.64/0.72 (~trans(s49, s3)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2236, 2227, 1478])).
% 0.64/0.72 tff(2238,assumption,(~until2p7(s17)), introduced(assumption)).
% 0.64/0.72 tff(2239,assumption,(trans(s49, s17)), introduced(assumption)).
% 0.64/0.72 tff(2240,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s17)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2241,plain,
% 0.64/0.72 (((~trans(s49, s17)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s17)) <=> (until2p7(s17) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s17)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2242,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s17)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s17))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2241])).
% 0.64/0.72 tff(2243,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s17)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s17)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2242, 2240])).
% 0.64/0.72 tff(2244,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s17)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s17))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2245,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s17))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 0.64/0.72 tff(2246,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2245, 1488, 2239, 1843, 2238, 1996])).
% 0.64/0.72 tff(2247,plain,((~trans(s49, s17)) | until2p7(s17) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2248,plain,
% 0.64/0.72 (~trans(s49, s17)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2247, 1965, 1478])).
% 0.64/0.72 tff(2249,assumption,(~until2p7(s43)), introduced(assumption)).
% 0.64/0.72 tff(2250,assumption,(trans(s49, s43)), introduced(assumption)).
% 0.64/0.72 tff(2251,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s43)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2252,plain,
% 0.64/0.72 (((~trans(s49, s43)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s43)) <=> (until2p7(s43) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s43)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2253,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s43)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s43))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2252])).
% 0.64/0.72 tff(2254,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s43)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s43)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2253, 2251])).
% 0.64/0.72 tff(2255,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s43)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s43))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2256,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s43))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2255, 2254])).
% 0.64/0.72 tff(2257,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2256, 1488, 2250, 1843, 2249, 1996])).
% 0.64/0.72 tff(2258,plain,((~trans(s49, s43)) | until2p7(s43) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2259,plain,
% 0.64/0.72 (~trans(s49, s43)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2258, 1583, 1478])).
% 0.64/0.72 tff(2260,assumption,(~until2p7(s23)), introduced(assumption)).
% 0.64/0.72 tff(2261,assumption,(trans(s49, s23)), introduced(assumption)).
% 0.64/0.72 tff(2262,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s23)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2263,plain,
% 0.64/0.72 (((~trans(s49, s23)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s23)) <=> (until2p7(s23) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s23)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2264,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s23)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s23))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2263])).
% 0.64/0.72 tff(2265,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s23)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s23)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2264, 2262])).
% 0.64/0.72 tff(2266,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s23)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s23))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2267,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s23))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 0.64/0.72 tff(2268,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2267, 1488, 2261, 1843, 2260, 1996])).
% 0.64/0.72 tff(2269,plain,((~trans(s49, s23)) | until2p7(s23) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2270,plain,
% 0.64/0.72 (~trans(s49, s23)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2269, 1873, 1478])).
% 0.64/0.72 tff(2271,assumption,(~until2p7(s11)), introduced(assumption)).
% 0.64/0.72 tff(2272,assumption,(trans(s49, s11)), introduced(assumption)).
% 0.64/0.72 tff(2273,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s11)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2274,plain,
% 0.64/0.72 (((~trans(s49, s11)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s11)) <=> (until2p7(s11) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s11)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2275,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s11)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s11))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2274])).
% 0.64/0.72 tff(2276,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s11)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s11)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2275, 2273])).
% 0.64/0.72 tff(2277,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s11)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s11))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2278,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s11))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 0.64/0.72 tff(2279,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2278, 1488, 2272, 1843, 2271, 1996])).
% 0.64/0.72 tff(2280,plain,((~trans(s49, s11)) | until2p7(s11) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2281,plain,
% 0.64/0.72 (~trans(s49, s11)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2280, 2070, 1478])).
% 0.64/0.72 tff(2282,assumption,(~until2p7(s6)), introduced(assumption)).
% 0.64/0.72 tff(2283,assumption,(trans(s49, s6)), introduced(assumption)).
% 0.64/0.72 tff(2284,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s6)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2285,plain,
% 0.64/0.72 (((~trans(s49, s6)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s6)) <=> (until2p7(s6) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s6)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2286,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s6)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s6))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2285])).
% 0.64/0.72 tff(2287,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s6)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s6)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2286, 2284])).
% 0.64/0.72 tff(2288,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s6)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s6))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2289,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s6))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2288, 2287])).
% 0.64/0.72 tff(2290,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2289, 1488, 2283, 1843, 2282, 1996])).
% 0.64/0.72 tff(2291,plain,((~trans(s49, s6)) | until2p7(s6) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2292,plain,
% 0.64/0.72 (~trans(s49, s6)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2291, 2197, 1478])).
% 0.64/0.72 tff(2293,assumption,(~until2p7(s24)), introduced(assumption)).
% 0.64/0.72 tff(2294,assumption,(trans(s49, s24)), introduced(assumption)).
% 0.64/0.72 tff(2295,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s24)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2296,plain,
% 0.64/0.72 (((~trans(s49, s24)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s24)) <=> (until2p7(s24) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s24)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2297,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s24)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s24))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2296])).
% 0.64/0.72 tff(2298,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s24)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s24)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2297, 2295])).
% 0.64/0.72 tff(2299,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s24)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s24))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2300,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s24))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2299, 2298])).
% 0.64/0.72 tff(2301,plain,
% 0.64/0.72 ($false),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2300, 1488, 2294, 1843, 2293, 1996])).
% 0.64/0.72 tff(2302,plain,((~trans(s49, s24)) | until2p7(s24) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.72 tff(2303,plain,
% 0.64/0.72 (~trans(s49, s24)),
% 0.64/0.72 inference(unit_resolution,[status(thm)],[2302, 1863, 1478])).
% 0.64/0.72 tff(2304,assumption,(~until2p7(s20)), introduced(assumption)).
% 0.64/0.72 tff(2305,assumption,(trans(s49, s20)), introduced(assumption)).
% 0.64/0.72 tff(2306,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s20)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2307,plain,
% 0.64/0.72 (((~trans(s49, s20)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s20)) <=> (until2p7(s20) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s20)))),
% 0.64/0.72 inference(rewrite,[status(thm)],[])).
% 0.64/0.72 tff(2308,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s20)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s20))))),
% 0.64/0.72 inference(monotonicity,[status(thm)],[2307])).
% 0.64/0.72 tff(2309,plain,
% 0.64/0.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s20)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s20)))),
% 0.64/0.72 inference(transitivity,[status(thm)],[2308, 2306])).
% 0.64/0.72 tff(2310,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s20)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s20))),
% 0.64/0.72 inference(quant_inst,[status(thm)],[])).
% 0.64/0.72 tff(2311,plain,
% 0.64/0.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s20))),
% 0.64/0.72 inference(modus_ponens,[status(thm)],[2310, 2309])).
% 0.64/0.73 tff(2312,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2311, 1488, 2305, 1843, 2304, 1996])).
% 0.64/0.73 tff(2313,plain,((~trans(s49, s20)) | until2p7(s20) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2314,plain,
% 0.64/0.73 (~trans(s49, s20)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2313, 1935, 1478])).
% 0.64/0.73 tff(2315,assumption,(~until2p7(s9)), introduced(assumption)).
% 0.64/0.73 tff(2316,assumption,(trans(s49, s9)), introduced(assumption)).
% 0.64/0.73 tff(2317,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s9)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2318,plain,
% 0.64/0.73 (((~trans(s49, s9)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s9)) <=> (until2p7(s9) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s9)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2319,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s9)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s9))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2318])).
% 0.64/0.73 tff(2320,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s9)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s9)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2319, 2317])).
% 0.64/0.73 tff(2321,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s9)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s9))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2322,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s9))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2321, 2320])).
% 0.64/0.73 tff(2323,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2322, 1488, 2316, 1843, 2315, 1996])).
% 0.64/0.73 tff(2324,plain,((~trans(s49, s9)) | until2p7(s9) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2325,plain,
% 0.64/0.73 (~trans(s49, s9)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2324, 2090, 1478])).
% 0.64/0.73 tff(2326,assumption,(~until2p7(s38)), introduced(assumption)).
% 0.64/0.73 tff(2327,assumption,(trans(s49, s38)), introduced(assumption)).
% 0.64/0.73 tff(2328,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s38)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2329,plain,
% 0.64/0.73 (((~trans(s49, s38)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s38)) <=> (until2p7(s38) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s38)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2330,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s38)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s38))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2329])).
% 0.64/0.73 tff(2331,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s38)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s38)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2330, 2328])).
% 0.64/0.73 tff(2332,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s38)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s38))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2333,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s38))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 0.64/0.73 tff(2334,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2333, 1488, 2327, 1843, 2326, 1996])).
% 0.64/0.73 tff(2335,plain,((~trans(s49, s38)) | until2p7(s38) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2336,plain,
% 0.64/0.73 (~trans(s49, s38)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2335, 1637, 1478])).
% 0.64/0.73 tff(2337,assumption,(~until2p7(s21)), introduced(assumption)).
% 0.64/0.73 tff(2338,assumption,(trans(s49, s21)), introduced(assumption)).
% 0.64/0.73 tff(2339,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s21)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2340,plain,
% 0.64/0.73 (((~trans(s49, s21)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s21)) <=> (until2p7(s21) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s21)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2341,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s21)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s21))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2340])).
% 0.64/0.73 tff(2342,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s21)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s21)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2341, 2339])).
% 0.64/0.73 tff(2343,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s21)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s21))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2344,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s21))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 0.64/0.73 tff(2345,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2344, 1488, 2338, 1843, 2337, 1996])).
% 0.64/0.73 tff(2346,plain,((~trans(s49, s21)) | until2p7(s21) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2347,plain,
% 0.64/0.73 (~trans(s49, s21)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2346, 1925, 1478])).
% 0.64/0.73 tff(2348,assumption,(~until2p7(s30)), introduced(assumption)).
% 0.64/0.73 tff(2349,assumption,(trans(s49, s30)), introduced(assumption)).
% 0.64/0.73 tff(2350,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s30)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2351,plain,
% 0.64/0.73 (((~trans(s49, s30)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s30)) <=> (until2p7(s30) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s30)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2352,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s30)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s30))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2351])).
% 0.64/0.73 tff(2353,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s30)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s30)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2352, 2350])).
% 0.64/0.73 tff(2354,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s30)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s30))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2355,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s30))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 0.64/0.73 tff(2356,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2355, 1488, 2349, 1843, 2348, 1996])).
% 0.64/0.73 tff(2357,plain,((~trans(s49, s30)) | until2p7(s30) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2358,plain,
% 0.64/0.73 (~trans(s49, s30)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2357, 1755, 1478])).
% 0.64/0.73 tff(2359,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2360,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2361,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 0.64/0.73 tff(2362,plain,
% 0.64/0.73 (until2p7(s3) | (~xuntil2p8(s2))),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2361, 1037, 1517])).
% 0.64/0.73 tff(2363,plain,
% 0.64/0.73 (~xuntil2p8(s2)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2362, 2227])).
% 0.64/0.73 tff(2364,plain,
% 0.64/0.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2365,plain,
% 0.64/0.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2366,plain,
% 0.64/0.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2365, 2364])).
% 0.64/0.73 tff(2367,plain,
% 0.64/0.73 (xuntil2p8(s2) | (~until2p7(s2))),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2366, 1502, 1469])).
% 0.64/0.73 tff(2368,plain,
% 0.64/0.73 (~until2p7(s2)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2367, 2363])).
% 0.64/0.73 tff(2369,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2370,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2371,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 0.64/0.73 tff(2372,plain,
% 0.64/0.73 (until2p7(s2) | (~xuntil2p8(s1))),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2371, 215, 1517])).
% 0.64/0.73 tff(2373,plain,
% 0.64/0.73 (~xuntil2p8(s1)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2372, 2368])).
% 0.64/0.73 tff(2374,plain,
% 0.64/0.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2375,plain,
% 0.64/0.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2376,plain,
% 0.64/0.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2375, 2374])).
% 0.64/0.73 tff(2377,plain,
% 0.64/0.73 (xuntil2p8(s1) | (~until2p7(s1))),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2376, 1502, 583])).
% 0.64/0.73 tff(2378,plain,
% 0.64/0.73 (~until2p7(s1)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2377, 2373])).
% 0.64/0.73 tff(2379,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2380,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2381,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2380, 2379])).
% 0.64/0.73 tff(2382,plain,
% 0.64/0.73 (until2p7(s1) | (~xuntil2p8(s0))),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2381, 34, 1517])).
% 0.64/0.73 tff(2383,plain,
% 0.64/0.73 (~xuntil2p8(s0)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2382, 2378])).
% 0.64/0.73 tff(2384,plain,
% 0.64/0.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2385,plain,
% 0.64/0.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2386,plain,
% 0.64/0.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 0.64/0.73 tff(2387,plain,
% 0.64/0.73 (xuntil2p8(s0) | (~until2p7(s0))),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2386, 1502, 575])).
% 0.64/0.73 tff(2388,plain,
% 0.64/0.73 (~until2p7(s0)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2387, 2383])).
% 0.64/0.73 tff(2389,assumption,(~until2p7(s0)), introduced(assumption)).
% 0.64/0.73 tff(2390,assumption,(trans(s49, s0)), introduced(assumption)).
% 0.64/0.73 tff(2391,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s49)) | (~xuntil6(s49)) | until2p7(s0) | (~trans(s49, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0) | (~trans(s49, s0)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2392,plain,
% 0.64/0.73 (((~trans(s49, s0)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0)) <=> ((~last(s49)) | (~xuntil6(s49)) | until2p7(s0) | (~trans(s49, s0)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2393,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s0)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s49)) | (~xuntil6(s49)) | until2p7(s0) | (~trans(s49, s0))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2392])).
% 0.64/0.73 tff(2394,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s0)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0) | (~trans(s49, s0)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2393, 2391])).
% 0.64/0.73 tff(2395,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s0)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2396,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s0) | (~trans(s49, s0))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2395, 2394])).
% 0.64/0.73 tff(2397,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2396, 1488, 2390, 1843, 1996, 2389])).
% 0.64/0.73 tff(2398,plain,((~trans(s49, s0)) | (~xuntil6(s49)) | until2p7(s0)), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2399,plain,
% 0.64/0.73 (~trans(s49, s0)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2398, 1478, 2388])).
% 0.64/0.73 tff(2400,assumption,(~until2p7(s15)), introduced(assumption)).
% 0.64/0.73 tff(2401,assumption,(trans(s49, s15)), introduced(assumption)).
% 0.64/0.73 tff(2402,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s15)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2403,plain,
% 0.64/0.73 (((~trans(s49, s15)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s15)) <=> (until2p7(s15) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s15)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2404,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s15)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s15))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2403])).
% 0.64/0.73 tff(2405,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s15)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s15)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2404, 2402])).
% 0.64/0.73 tff(2406,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s15)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s15))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2407,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s15))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 0.64/0.73 tff(2408,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2407, 1488, 2401, 1843, 2400, 1996])).
% 0.64/0.73 tff(2409,plain,((~trans(s49, s15)) | until2p7(s15) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2410,plain,
% 0.64/0.73 (~trans(s49, s15)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2409, 1985, 1478])).
% 0.64/0.73 tff(2411,assumption,(~until2p7(s4)), introduced(assumption)).
% 0.64/0.73 tff(2412,assumption,(trans(s49, s4)), introduced(assumption)).
% 0.64/0.73 tff(2413,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s4)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2414,plain,
% 0.64/0.73 (((~trans(s49, s4)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s4)) <=> (until2p7(s4) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s4)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2415,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s4)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s4))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2414])).
% 0.64/0.73 tff(2416,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s4)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s4)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2415, 2413])).
% 0.64/0.73 tff(2417,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s4)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s4))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2418,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s4))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2417, 2416])).
% 0.64/0.73 tff(2419,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2418, 1488, 2412, 1843, 2411, 1996])).
% 0.64/0.73 tff(2420,plain,((~trans(s49, s4)) | until2p7(s4) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2421,plain,
% 0.64/0.73 (~trans(s49, s4)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2420, 2217, 1478])).
% 0.64/0.73 tff(2422,assumption,(~until2p7(s39)), introduced(assumption)).
% 0.64/0.73 tff(2423,assumption,(trans(s49, s39)), introduced(assumption)).
% 0.64/0.73 tff(2424,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s39)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2425,plain,
% 0.64/0.73 (((~trans(s49, s39)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s39)) <=> (until2p7(s39) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s39)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2426,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s39)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s39))))),
% 0.64/0.73 inference(monotonicity,[status(thm)],[2425])).
% 0.64/0.73 tff(2427,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s39)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s39)))),
% 0.64/0.73 inference(transitivity,[status(thm)],[2426, 2424])).
% 0.64/0.73 tff(2428,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s39)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s39))),
% 0.64/0.73 inference(quant_inst,[status(thm)],[])).
% 0.64/0.73 tff(2429,plain,
% 0.64/0.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s39))),
% 0.64/0.73 inference(modus_ponens,[status(thm)],[2428, 2427])).
% 0.64/0.73 tff(2430,plain,
% 0.64/0.73 ($false),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2429, 1488, 2423, 1843, 2422, 1996])).
% 0.64/0.73 tff(2431,plain,((~trans(s49, s39)) | until2p7(s39) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.73 tff(2432,plain,
% 0.64/0.73 (~trans(s49, s39)),
% 0.64/0.73 inference(unit_resolution,[status(thm)],[2431, 1627, 1478])).
% 0.64/0.73 tff(2433,assumption,(~until2p7(s31)), introduced(assumption)).
% 0.64/0.73 tff(2434,assumption,(trans(s49, s31)), introduced(assumption)).
% 0.64/0.73 tff(2435,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s31)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2436,plain,
% 0.64/0.73 (((~trans(s49, s31)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s31)) <=> (until2p7(s31) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s31)))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(2437,plain,
% 0.64/0.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s31)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s31))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2436])).
% 0.64/0.74 tff(2438,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s31)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s31)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2437, 2435])).
% 0.64/0.74 tff(2439,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s31)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s31))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2440,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s31))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2439, 2438])).
% 0.64/0.74 tff(2441,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2440, 1488, 2434, 1843, 2433, 1996])).
% 0.64/0.74 tff(2442,plain,((~trans(s49, s31)) | until2p7(s31) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2443,plain,
% 0.64/0.74 (~trans(s49, s31)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2442, 1745, 1478])).
% 0.64/0.74 tff(2444,assumption,(~until2p7(s47)), introduced(assumption)).
% 0.64/0.74 tff(2445,assumption,(trans(s49, s47)), introduced(assumption)).
% 0.64/0.74 tff(2446,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s47)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2447,plain,
% 0.64/0.74 (((~trans(s49, s47)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s47)) <=> (until2p7(s47) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s47)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2448,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s47)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s47))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2447])).
% 0.64/0.74 tff(2449,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s47)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s47)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2448, 2446])).
% 0.64/0.74 tff(2450,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s47)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s47))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2451,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s47))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 0.64/0.74 tff(2452,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2451, 1488, 2445, 1843, 2444, 1996])).
% 0.64/0.74 tff(2453,plain,((~trans(s49, s47)) | until2p7(s47) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2454,plain,
% 0.64/0.74 (~trans(s49, s47)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2453, 1539, 1478])).
% 0.64/0.74 tff(2455,assumption,(~until2p7(s22)), introduced(assumption)).
% 0.64/0.74 tff(2456,assumption,(trans(s49, s22)), introduced(assumption)).
% 0.64/0.74 tff(2457,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s22)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2458,plain,
% 0.64/0.74 (((~trans(s49, s22)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s22)) <=> (until2p7(s22) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s22)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2459,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s22)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s22))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2458])).
% 0.64/0.74 tff(2460,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s22)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s22)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2459, 2457])).
% 0.64/0.74 tff(2461,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s22)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s22))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2462,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s22))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 0.64/0.74 tff(2463,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2462, 1488, 2456, 1843, 2455, 1996])).
% 0.64/0.74 tff(2464,plain,((~trans(s49, s22)) | until2p7(s22) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2465,plain,
% 0.64/0.74 (~trans(s49, s22)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2464, 1915, 1478])).
% 0.64/0.74 tff(2466,assumption,(~until2p7(s34)), introduced(assumption)).
% 0.64/0.74 tff(2467,assumption,(trans(s49, s34)), introduced(assumption)).
% 0.64/0.74 tff(2468,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s34)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2469,plain,
% 0.64/0.74 (((~trans(s49, s34)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s34)) <=> (until2p7(s34) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s34)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2470,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s34)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s34))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2469])).
% 0.64/0.74 tff(2471,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s34)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s34)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2470, 2468])).
% 0.64/0.74 tff(2472,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s34)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s34))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2473,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s34))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 0.64/0.74 tff(2474,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2473, 1488, 2467, 1843, 2466, 1996])).
% 0.64/0.74 tff(2475,plain,((~trans(s49, s34)) | until2p7(s34) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2476,plain,
% 0.64/0.74 (~trans(s49, s34)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2475, 1715, 1478])).
% 0.64/0.74 tff(2477,assumption,(~until2p7(s27)), introduced(assumption)).
% 0.64/0.74 tff(2478,assumption,(trans(s49, s27)), introduced(assumption)).
% 0.64/0.74 tff(2479,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s27)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2480,plain,
% 0.64/0.74 (((~trans(s49, s27)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s27)) <=> (until2p7(s27) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s27)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2481,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s27)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s27))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2480])).
% 0.64/0.74 tff(2482,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s27)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s27)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2481, 2479])).
% 0.64/0.74 tff(2483,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s27)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s27))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2484,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s27))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2483, 2482])).
% 0.64/0.74 tff(2485,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2484, 1488, 2478, 1843, 2477, 1996])).
% 0.64/0.74 tff(2486,plain,((~trans(s49, s27)) | until2p7(s27) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2487,plain,
% 0.64/0.74 (~trans(s49, s27)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2486, 1823, 1478])).
% 0.64/0.74 tff(2488,assumption,(~until2p7(s40)), introduced(assumption)).
% 0.64/0.74 tff(2489,assumption,(trans(s49, s40)), introduced(assumption)).
% 0.64/0.74 tff(2490,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s40)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2491,plain,
% 0.64/0.74 (((~trans(s49, s40)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s40)) <=> (until2p7(s40) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s40)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2492,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s40)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s40))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2491])).
% 0.64/0.74 tff(2493,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s40)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s40)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2492, 2490])).
% 0.64/0.74 tff(2494,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s40)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s40))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2495,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s40))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 0.64/0.74 tff(2496,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2495, 1488, 2489, 1843, 2488, 1996])).
% 0.64/0.74 tff(2497,plain,((~trans(s49, s40)) | until2p7(s40) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2498,plain,
% 0.64/0.74 (~trans(s49, s40)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2497, 1616, 1478])).
% 0.64/0.74 tff(2499,assumption,(~until2p7(s28)), introduced(assumption)).
% 0.64/0.74 tff(2500,assumption,(trans(s49, s28)), introduced(assumption)).
% 0.64/0.74 tff(2501,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s28)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2502,plain,
% 0.64/0.74 (((~trans(s49, s28)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s28)) <=> (until2p7(s28) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s28)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2503,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s28)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s28))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2502])).
% 0.64/0.74 tff(2504,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s28)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s28)))),
% 0.64/0.74 inference(transitivity,[status(thm)],[2503, 2501])).
% 0.64/0.74 tff(2505,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s28)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s28))),
% 0.64/0.74 inference(quant_inst,[status(thm)],[])).
% 0.64/0.74 tff(2506,plain,
% 0.64/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s28))),
% 0.64/0.74 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 0.64/0.74 tff(2507,plain,
% 0.64/0.74 ($false),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2506, 1488, 2500, 1843, 2499, 1996])).
% 0.64/0.74 tff(2508,plain,((~trans(s49, s28)) | until2p7(s28) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.64/0.74 tff(2509,plain,
% 0.64/0.74 (~trans(s49, s28)),
% 0.64/0.74 inference(unit_resolution,[status(thm)],[2508, 1775, 1478])).
% 0.64/0.74 tff(2510,assumption,(~until2p7(s42)), introduced(assumption)).
% 0.64/0.74 tff(2511,assumption,(trans(s49, s42)), introduced(assumption)).
% 0.64/0.74 tff(2512,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s42)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2513,plain,
% 0.64/0.74 (((~trans(s49, s42)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s42)) <=> (until2p7(s42) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s42)))),
% 0.64/0.74 inference(rewrite,[status(thm)],[])).
% 0.64/0.74 tff(2514,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s42)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s42))))),
% 0.64/0.74 inference(monotonicity,[status(thm)],[2513])).
% 0.64/0.74 tff(2515,plain,
% 0.64/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s42)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s42)))),
% 0.69/0.74 inference(transitivity,[status(thm)],[2514, 2512])).
% 0.69/0.74 tff(2516,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s42)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s42))),
% 0.69/0.74 inference(quant_inst,[status(thm)],[])).
% 0.69/0.74 tff(2517,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s42))),
% 0.69/0.74 inference(modus_ponens,[status(thm)],[2516, 2515])).
% 0.69/0.74 tff(2518,plain,
% 0.69/0.74 ($false),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2517, 1488, 2511, 1843, 2510, 1996])).
% 0.69/0.74 tff(2519,plain,((~trans(s49, s42)) | until2p7(s42) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.74 tff(2520,plain,
% 0.69/0.74 (~trans(s49, s42)),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2519, 1594, 1478])).
% 0.69/0.74 tff(2521,assumption,(~until2p7(s33)), introduced(assumption)).
% 0.69/0.74 tff(2522,assumption,(trans(s49, s33)), introduced(assumption)).
% 0.69/0.74 tff(2523,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s33)))),
% 0.69/0.74 inference(rewrite,[status(thm)],[])).
% 0.69/0.74 tff(2524,plain,
% 0.69/0.74 (((~trans(s49, s33)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s33)) <=> (until2p7(s33) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s33)))),
% 0.69/0.74 inference(rewrite,[status(thm)],[])).
% 0.69/0.74 tff(2525,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s33)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s33))))),
% 0.69/0.74 inference(monotonicity,[status(thm)],[2524])).
% 0.69/0.74 tff(2526,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s33)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s33)))),
% 0.69/0.74 inference(transitivity,[status(thm)],[2525, 2523])).
% 0.69/0.74 tff(2527,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s33)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s33))),
% 0.69/0.74 inference(quant_inst,[status(thm)],[])).
% 0.69/0.74 tff(2528,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s33))),
% 0.69/0.74 inference(modus_ponens,[status(thm)],[2527, 2526])).
% 0.69/0.74 tff(2529,plain,
% 0.69/0.74 ($false),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2528, 1488, 2522, 1843, 2521, 1996])).
% 0.69/0.74 tff(2530,plain,((~trans(s49, s33)) | until2p7(s33) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.74 tff(2531,plain,
% 0.69/0.74 (~trans(s49, s33)),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2530, 1725, 1478])).
% 0.69/0.74 tff(2532,assumption,(~until2p7(s48)), introduced(assumption)).
% 0.69/0.74 tff(2533,assumption,(trans(s49, s48)), introduced(assumption)).
% 0.69/0.74 tff(2534,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s48)))),
% 0.69/0.74 inference(rewrite,[status(thm)],[])).
% 0.69/0.74 tff(2535,plain,
% 0.69/0.74 (((~trans(s49, s48)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s48)) <=> (until2p7(s48) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s48)))),
% 0.69/0.74 inference(rewrite,[status(thm)],[])).
% 0.69/0.74 tff(2536,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s48)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s48))))),
% 0.69/0.74 inference(monotonicity,[status(thm)],[2535])).
% 0.69/0.74 tff(2537,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s48)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s48)))),
% 0.69/0.74 inference(transitivity,[status(thm)],[2536, 2534])).
% 0.69/0.74 tff(2538,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s48)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s48))),
% 0.69/0.74 inference(quant_inst,[status(thm)],[])).
% 0.69/0.74 tff(2539,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s48))),
% 0.69/0.74 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 0.69/0.74 tff(2540,plain,
% 0.69/0.74 ($false),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2539, 1488, 2533, 1843, 2532, 1996])).
% 0.69/0.74 tff(2541,plain,((~trans(s49, s48)) | until2p7(s48) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.74 tff(2542,plain,
% 0.69/0.74 (~trans(s49, s48)),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2541, 1528, 1478])).
% 0.69/0.74 tff(2543,assumption,(~until2p7(s2)), introduced(assumption)).
% 0.69/0.74 tff(2544,assumption,(trans(s49, s2)), introduced(assumption)).
% 0.69/0.74 tff(2545,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s2)))),
% 0.69/0.74 inference(rewrite,[status(thm)],[])).
% 0.69/0.74 tff(2546,plain,
% 0.69/0.74 (((~trans(s49, s2)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s2)) <=> (until2p7(s2) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s2)))),
% 0.69/0.74 inference(rewrite,[status(thm)],[])).
% 0.69/0.74 tff(2547,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s2)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s2))))),
% 0.69/0.74 inference(monotonicity,[status(thm)],[2546])).
% 0.69/0.74 tff(2548,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s2)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s2)))),
% 0.69/0.74 inference(transitivity,[status(thm)],[2547, 2545])).
% 0.69/0.74 tff(2549,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s2)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s2))),
% 0.69/0.74 inference(quant_inst,[status(thm)],[])).
% 0.69/0.74 tff(2550,plain,
% 0.69/0.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s2))),
% 0.69/0.74 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 0.69/0.74 tff(2551,plain,
% 0.69/0.74 ($false),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2550, 1488, 2544, 1843, 2543, 1996])).
% 0.69/0.74 tff(2552,plain,((~trans(s49, s2)) | until2p7(s2) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.74 tff(2553,plain,
% 0.69/0.74 (~trans(s49, s2)),
% 0.69/0.74 inference(unit_resolution,[status(thm)],[2552, 2368, 1478])).
% 0.69/0.74 tff(2554,assumption,(~until2p7(s13)), introduced(assumption)).
% 0.69/0.74 tff(2555,assumption,(trans(s49, s13)), introduced(assumption)).
% 0.69/0.74 tff(2556,plain,
% 0.69/0.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s13)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2557,plain,
% 0.69/0.75 (((~trans(s49, s13)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s13)) <=> (until2p7(s13) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s13)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2558,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s13)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s13))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2557])).
% 0.69/0.75 tff(2559,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s13)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s13)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2558, 2556])).
% 0.69/0.75 tff(2560,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s13)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s13))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2561,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s13))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 0.69/0.75 tff(2562,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2561, 1488, 2555, 1843, 2554, 1996])).
% 0.69/0.75 tff(2563,plain,((~trans(s49, s13)) | until2p7(s13) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2564,plain,
% 0.69/0.75 (~trans(s49, s13)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2563, 2017, 1478])).
% 0.69/0.75 tff(2565,assumption,(~until2p7(s5)), introduced(assumption)).
% 0.69/0.75 tff(2566,assumption,(trans(s49, s5)), introduced(assumption)).
% 0.69/0.75 tff(2567,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s5)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2568,plain,
% 0.69/0.75 (((~trans(s49, s5)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s5)) <=> (until2p7(s5) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s5)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2569,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s5)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s5))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2568])).
% 0.69/0.75 tff(2570,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s5)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s5)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2569, 2567])).
% 0.69/0.75 tff(2571,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s5)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s5))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2572,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s5))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2571, 2570])).
% 0.69/0.75 tff(2573,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2572, 1488, 2566, 1843, 2565, 1996])).
% 0.69/0.75 tff(2574,plain,((~trans(s49, s5)) | until2p7(s5) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2575,plain,
% 0.69/0.75 (~trans(s49, s5)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2574, 2207, 1478])).
% 0.69/0.75 tff(2576,assumption,(~until2p7(s35)), introduced(assumption)).
% 0.69/0.75 tff(2577,assumption,(trans(s49, s35)), introduced(assumption)).
% 0.69/0.75 tff(2578,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s35)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2579,plain,
% 0.69/0.75 (((~trans(s49, s35)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s35)) <=> (until2p7(s35) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s35)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2580,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s35)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s35))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2579])).
% 0.69/0.75 tff(2581,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s35)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s35)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2580, 2578])).
% 0.69/0.75 tff(2582,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s35)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s35))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2583,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s35))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2582, 2581])).
% 0.69/0.75 tff(2584,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2583, 1488, 2577, 1843, 2576, 1996])).
% 0.69/0.75 tff(2585,plain,((~trans(s49, s35)) | until2p7(s35) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2586,plain,
% 0.69/0.75 (~trans(s49, s35)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2585, 1667, 1478])).
% 0.69/0.75 tff(2587,assumption,(~until2p7(s1)), introduced(assumption)).
% 0.69/0.75 tff(2588,assumption,(trans(s49, s1)), introduced(assumption)).
% 0.69/0.75 tff(2589,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s1)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2590,plain,
% 0.69/0.75 (((~trans(s49, s1)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s1)) <=> (until2p7(s1) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s1)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2591,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s1)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s1))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2590])).
% 0.69/0.75 tff(2592,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s1)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s1)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2591, 2589])).
% 0.69/0.75 tff(2593,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s1)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s1))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2594,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s1))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2593, 2592])).
% 0.69/0.75 tff(2595,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2594, 1488, 2588, 1843, 2587, 1996])).
% 0.69/0.75 tff(2596,plain,((~trans(s49, s1)) | until2p7(s1) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2597,plain,
% 0.69/0.75 (~trans(s49, s1)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2596, 2378, 1478])).
% 0.69/0.75 tff(2598,assumption,(~until2p7(s44)), introduced(assumption)).
% 0.69/0.75 tff(2599,assumption,(trans(s49, s44)), introduced(assumption)).
% 0.69/0.75 tff(2600,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s44)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2601,plain,
% 0.69/0.75 (((~trans(s49, s44)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s44)) <=> (until2p7(s44) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s44)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2602,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s44)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s44))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2601])).
% 0.69/0.75 tff(2603,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s44)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s44)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2602, 2600])).
% 0.69/0.75 tff(2604,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s44)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s44))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2605,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s44))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2604, 2603])).
% 0.69/0.75 tff(2606,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2605, 1488, 2599, 1843, 2598, 1996])).
% 0.69/0.75 tff(2607,plain,((~trans(s49, s44)) | until2p7(s44) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2608,plain,
% 0.69/0.75 (~trans(s49, s44)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2607, 1572, 1478])).
% 0.69/0.75 tff(2609,assumption,(~until2p7(s19)), introduced(assumption)).
% 0.69/0.75 tff(2610,assumption,(trans(s49, s19)), introduced(assumption)).
% 0.69/0.75 tff(2611,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s19)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2612,plain,
% 0.69/0.75 (((~trans(s49, s19)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s19)) <=> (until2p7(s19) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s19)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2613,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s19)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s19))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2612])).
% 0.69/0.75 tff(2614,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s19)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s19)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2613, 2611])).
% 0.69/0.75 tff(2615,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s19)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s19))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2616,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s19))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 0.69/0.75 tff(2617,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2616, 1488, 2610, 1843, 2609, 1996])).
% 0.69/0.75 tff(2618,plain,((~trans(s49, s19)) | until2p7(s19) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2619,plain,
% 0.69/0.75 (~trans(s49, s19)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2618, 1945, 1478])).
% 0.69/0.75 tff(2620,assumption,(~until2p7(s37)), introduced(assumption)).
% 0.69/0.75 tff(2621,assumption,(trans(s49, s37)), introduced(assumption)).
% 0.69/0.75 tff(2622,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s37)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2623,plain,
% 0.69/0.75 (((~trans(s49, s37)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s37)) <=> (until2p7(s37) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s37)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2624,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s37)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s37))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2623])).
% 0.69/0.75 tff(2625,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s37)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s37)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2624, 2622])).
% 0.69/0.75 tff(2626,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s37)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s37))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2627,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s37))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2626, 2625])).
% 0.69/0.75 tff(2628,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2627, 1488, 2621, 1843, 2620, 1996])).
% 0.69/0.75 tff(2629,plain,((~trans(s49, s37)) | until2p7(s37) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2630,plain,
% 0.69/0.75 (~trans(s49, s37)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2629, 1647, 1478])).
% 0.69/0.75 tff(2631,assumption,(~until2p7(s18)), introduced(assumption)).
% 0.69/0.75 tff(2632,assumption,(trans(s49, s18)), introduced(assumption)).
% 0.69/0.75 tff(2633,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s18)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2634,plain,
% 0.69/0.75 (((~trans(s49, s18)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s18)) <=> (until2p7(s18) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s18)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2635,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s18)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s18))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2634])).
% 0.69/0.75 tff(2636,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s18)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s18)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2635, 2633])).
% 0.69/0.75 tff(2637,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s18)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s18))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2638,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s18))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 0.69/0.75 tff(2639,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2638, 1488, 2632, 1843, 2631, 1996])).
% 0.69/0.75 tff(2640,plain,((~trans(s49, s18)) | until2p7(s18) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2641,plain,
% 0.69/0.75 (~trans(s49, s18)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2640, 1955, 1478])).
% 0.69/0.75 tff(2642,assumption,(~until2p7(s41)), introduced(assumption)).
% 0.69/0.75 tff(2643,assumption,(trans(s49, s41)), introduced(assumption)).
% 0.69/0.75 tff(2644,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s41)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2645,plain,
% 0.69/0.75 (((~trans(s49, s41)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s41)) <=> (until2p7(s41) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s41)))),
% 0.69/0.75 inference(rewrite,[status(thm)],[])).
% 0.69/0.75 tff(2646,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s41)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s41))))),
% 0.69/0.75 inference(monotonicity,[status(thm)],[2645])).
% 0.69/0.75 tff(2647,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s41)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s41)))),
% 0.69/0.75 inference(transitivity,[status(thm)],[2646, 2644])).
% 0.69/0.75 tff(2648,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s41)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s41))),
% 0.69/0.75 inference(quant_inst,[status(thm)],[])).
% 0.69/0.75 tff(2649,plain,
% 0.69/0.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s41))),
% 0.69/0.75 inference(modus_ponens,[status(thm)],[2648, 2647])).
% 0.69/0.75 tff(2650,plain,
% 0.69/0.75 ($false),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2649, 1488, 2643, 1843, 2642, 1996])).
% 0.69/0.75 tff(2651,plain,((~trans(s49, s41)) | until2p7(s41) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.75 tff(2652,plain,
% 0.69/0.75 (~trans(s49, s41)),
% 0.69/0.75 inference(unit_resolution,[status(thm)],[2651, 1605, 1478])).
% 0.69/0.75 tff(2653,assumption,(~until2p7(s10)), introduced(assumption)).
% 0.69/0.75 tff(2654,assumption,(trans(s49, s10)), introduced(assumption)).
% 0.69/0.75 tff(2655,plain,
% 0.69/0.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s10)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2656,plain,
% 0.69/0.76 (((~trans(s49, s10)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s10)) <=> (until2p7(s10) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s10)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2657,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s10)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s10))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2656])).
% 0.69/0.76 tff(2658,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s10)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s10)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2657, 2655])).
% 0.69/0.76 tff(2659,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s10)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s10))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2660,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s10))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 0.69/0.76 tff(2661,plain,
% 0.69/0.76 ($false),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2660, 1488, 2654, 1843, 2653, 1996])).
% 0.69/0.76 tff(2662,plain,((~trans(s49, s10)) | until2p7(s10) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.76 tff(2663,plain,
% 0.69/0.76 (~trans(s49, s10)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2662, 2080, 1478])).
% 0.69/0.76 tff(2664,assumption,(~until2p7(s8)), introduced(assumption)).
% 0.69/0.76 tff(2665,assumption,(trans(s49, s8)), introduced(assumption)).
% 0.69/0.76 tff(2666,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s8)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2667,plain,
% 0.69/0.76 (((~trans(s49, s8)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s8)) <=> (until2p7(s8) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s8)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2668,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s8)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s8))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2667])).
% 0.69/0.76 tff(2669,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s8)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s8)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2668, 2666])).
% 0.69/0.76 tff(2670,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s8)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s8))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2671,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s8))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 0.69/0.76 tff(2672,plain,
% 0.69/0.76 ($false),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2671, 1488, 2665, 1843, 2664, 1996])).
% 0.69/0.76 tff(2673,plain,((~trans(s49, s8)) | until2p7(s8) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 0.69/0.76 tff(2674,plain,
% 0.69/0.76 (~trans(s49, s8)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2673, 2100, 1478])).
% 0.69/0.76 tff(2675,assumption,(~loop), introduced(assumption)).
% 0.69/0.76 tff(2676,plain,
% 0.69/0.76 (^[X: $i] : refl((loop | (~always3(X)) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 0.69/0.76 inference(bind,[status(th)],[])).
% 0.69/0.76 tff(2677,plain,
% 0.69/0.76 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(quant_intro,[status(thm)],[2676])).
% 0.69/0.76 tff(2678,plain,
% 0.69/0.76 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2679,plain,
% 0.69/0.76 (^[X: $i] : rewrite(((loop | (~always3(X))) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 0.69/0.76 inference(bind,[status(th)],[])).
% 0.69/0.76 tff(2680,plain,
% 0.69/0.76 (![X: $i] : ((loop | (~always3(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(quant_intro,[status(thm)],[2679])).
% 0.69/0.76 tff(2681,axiom,(![X: $i] : ((loop | (~always3(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty3')).
% 0.69/0.76 tff(2682,plain,
% 0.69/0.76 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2681, 2680])).
% 0.69/0.76 tff(2683,plain,
% 0.69/0.76 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2682, 2678])).
% 0.69/0.76 tff(2684,plain,(
% 0.69/0.76 ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(skolemize,[status(sab)],[2683])).
% 0.69/0.76 tff(2685,plain,
% 0.69/0.76 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2684, 2677])).
% 0.69/0.76 tff(2686,plain,
% 0.69/0.76 (((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s49)) | (~last(s49)))) <=> ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s49)) | (~last(s49)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2687,plain,
% 0.69/0.76 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s49)) | (~last(s49)))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2688,plain,
% 0.69/0.76 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s49)) | (~last(s49))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2687, 2686])).
% 0.69/0.76 tff(2689,plain,
% 0.69/0.76 (loop | (~always3(s49))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2688, 1488, 2685])).
% 0.69/0.76 tff(2690,plain,
% 0.69/0.76 (~always3(s49)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2689, 2675])).
% 0.69/0.76 tff(2691,plain,
% 0.69/0.76 (~always3(s48)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1063, 2690])).
% 0.69/0.76 tff(2692,plain,
% 0.69/0.76 (~node4(s48)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1429, 67, 2691])).
% 0.69/0.76 tff(2693,plain,
% 0.69/0.76 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2694,plain,
% 0.69/0.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2695,plain,
% 0.69/0.76 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 0.69/0.76 tff(2696,plain,
% 0.69/0.76 (~node4(s49)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2695, 67, 2690])).
% 0.69/0.76 tff(2697,plain,
% 0.69/0.76 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 0.69/0.76 inference(bind,[status(th)],[])).
% 0.69/0.76 tff(2698,plain,
% 0.69/0.76 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(quant_intro,[status(thm)],[2697])).
% 0.69/0.76 tff(2699,plain,
% 0.69/0.76 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2700,plain,
% 0.69/0.76 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 0.69/0.76 inference(bind,[status(th)],[])).
% 0.69/0.76 tff(2701,plain,
% 0.69/0.76 (![X: $i] : ((loop | (~last(X))) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(quant_intro,[status(thm)],[2700])).
% 0.69/0.76 tff(2702,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 0.69/0.76 tff(2703,plain,
% 0.69/0.76 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 0.69/0.76 tff(2704,plain,
% 0.69/0.76 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2703, 2699])).
% 0.69/0.76 tff(2705,plain,(
% 0.69/0.76 ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(skolemize,[status(sab)],[2704])).
% 0.69/0.76 tff(2706,plain,
% 0.69/0.76 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2705, 2698])).
% 0.69/0.76 tff(2707,plain,
% 0.69/0.76 (((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s49)) | (~xuntil6(s49)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s49)) | (~xuntil6(s49)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2708,plain,
% 0.69/0.76 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s49)) | (~xuntil6(s49)))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2709,plain,
% 0.69/0.76 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s49)) | (~xuntil6(s49))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2708, 2707])).
% 0.69/0.76 tff(2710,plain,
% 0.69/0.76 (loop | (~xuntil6(s49))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2709, 1488, 2706])).
% 0.69/0.76 tff(2711,plain,
% 0.69/0.76 (~xuntil6(s49)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2710, 2675])).
% 0.69/0.76 tff(2712,plain,
% 0.69/0.76 (~until5(s49)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1476, 1275, 2711, 2696])).
% 0.69/0.76 tff(2713,plain,
% 0.69/0.76 (~xuntil6(s48)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1442, 2712])).
% 0.69/0.76 tff(2714,plain,
% 0.69/0.76 (~until5(s48)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1436, 1275, 2713, 2692])).
% 0.69/0.76 tff(2715,plain,
% 0.69/0.76 (~xuntil6(s47)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1425, 2714])).
% 0.69/0.76 tff(2716,plain,
% 0.69/0.76 (~always3(s47)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1075, 2691])).
% 0.69/0.76 tff(2717,plain,
% 0.69/0.76 (~node4(s47)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1412, 67, 2716])).
% 0.69/0.76 tff(2718,plain,
% 0.69/0.76 (xuntil6(s47) | (~until5(s47))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1419, 1275, 2717])).
% 0.69/0.76 tff(2719,plain,
% 0.69/0.76 (~until5(s47)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2718, 2715])).
% 0.69/0.76 tff(2720,plain,
% 0.69/0.76 (~xuntil6(s46)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1408, 2719])).
% 0.69/0.76 tff(2721,plain,
% 0.69/0.76 (~always3(s46)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1087, 2716])).
% 0.69/0.76 tff(2722,plain,
% 0.69/0.76 (~node4(s46)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1395, 67, 2721])).
% 0.69/0.76 tff(2723,plain,
% 0.69/0.76 (xuntil6(s46) | (~until5(s46))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1402, 1275, 2722])).
% 0.69/0.76 tff(2724,plain,
% 0.69/0.76 (~until5(s46)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2723, 2720])).
% 0.69/0.76 tff(2725,plain,
% 0.69/0.76 (~xuntil6(s45)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1391, 2724])).
% 0.69/0.76 tff(2726,plain,
% 0.69/0.76 (~always3(s45)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1099, 2721])).
% 0.69/0.76 tff(2727,plain,
% 0.69/0.76 (~node4(s45)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1378, 67, 2726])).
% 0.69/0.76 tff(2728,plain,
% 0.69/0.76 (xuntil6(s45) | (~until5(s45))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1385, 1275, 2727])).
% 0.69/0.76 tff(2729,plain,
% 0.69/0.76 (~until5(s45)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2728, 2725])).
% 0.69/0.76 tff(2730,plain,
% 0.69/0.76 (~xuntil6(s44)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1374, 2729])).
% 0.69/0.76 tff(2731,plain,
% 0.69/0.76 (~always3(s44)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[651, 2726])).
% 0.69/0.76 tff(2732,plain,
% 0.69/0.76 (~node4(s44)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1361, 67, 2731])).
% 0.69/0.76 tff(2733,plain,
% 0.69/0.76 (xuntil6(s44) | (~until5(s44))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1368, 1275, 2732])).
% 0.69/0.76 tff(2734,plain,
% 0.69/0.76 (~until5(s44)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2733, 2730])).
% 0.69/0.76 tff(2735,plain,
% 0.69/0.76 (~xuntil6(s43)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1357, 2734])).
% 0.69/0.76 tff(2736,plain,
% 0.69/0.76 (~always3(s43)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[605, 2731])).
% 0.69/0.76 tff(2737,plain,
% 0.69/0.76 (~node4(s43)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[593, 67, 2736])).
% 0.69/0.76 tff(2738,plain,
% 0.69/0.76 (xuntil6(s43) | (~until5(s43))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1351, 1275, 2737])).
% 0.69/0.76 tff(2739,plain,
% 0.69/0.76 (~until5(s43)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2738, 2735])).
% 0.69/0.76 tff(2740,plain,
% 0.69/0.76 (~xuntil6(s42)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1343, 2739])).
% 0.69/0.76 tff(2741,plain,
% 0.69/0.76 (~always3(s42)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[664, 2736])).
% 0.69/0.76 tff(2742,plain,
% 0.69/0.76 (~node4(s42)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1330, 67, 2741])).
% 0.69/0.76 tff(2743,plain,
% 0.69/0.76 (xuntil6(s42) | (~until5(s42))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1337, 1275, 2742])).
% 0.69/0.76 tff(2744,plain,
% 0.69/0.76 (~until5(s42)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2743, 2740])).
% 0.69/0.76 tff(2745,plain,
% 0.69/0.76 (~xuntil6(s41)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1326, 2744])).
% 0.69/0.76 tff(2746,plain,
% 0.69/0.76 (~always3(s41)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[676, 2741])).
% 0.69/0.76 tff(2747,plain,
% 0.69/0.76 (~node4(s41)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1313, 67, 2746])).
% 0.69/0.76 tff(2748,plain,
% 0.69/0.76 (xuntil6(s41) | (~until5(s41))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1320, 1275, 2747])).
% 0.69/0.76 tff(2749,plain,
% 0.69/0.76 (~until5(s41)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2748, 2745])).
% 0.69/0.76 tff(2750,plain,
% 0.69/0.76 (~xuntil6(s40)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1309, 2749])).
% 0.69/0.76 tff(2751,plain,
% 0.69/0.76 (~always3(s40)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[688, 2746])).
% 0.69/0.76 tff(2752,plain,
% 0.69/0.76 (~node4(s40)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1259, 67, 2751])).
% 0.69/0.76 tff(2753,plain,
% 0.69/0.76 (xuntil6(s40) | (~until5(s40))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1304, 1275, 2752])).
% 0.69/0.76 tff(2754,plain,
% 0.69/0.76 (~until5(s40)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2753, 2750])).
% 0.69/0.76 tff(2755,plain,
% 0.69/0.76 (~xuntil6(s39)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1297, 2754])).
% 0.69/0.76 tff(2756,plain,
% 0.69/0.76 (~always3(s39)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[700, 2751])).
% 0.69/0.76 tff(2757,plain,
% 0.69/0.76 (~node4(s39)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1263, 67, 2756])).
% 0.69/0.76 tff(2758,plain,
% 0.69/0.76 (xuntil6(s39) | (~until5(s39))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1281, 1275, 2757])).
% 0.69/0.76 tff(2759,plain,
% 0.69/0.76 (~until5(s39)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2758, 2755])).
% 0.69/0.76 tff(2760,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2761,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2762,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39)),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2761, 2760])).
% 0.69/0.76 tff(2763,plain,
% 0.69/0.76 ((~xuntil6(s38)) | until5(s39)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2762, 704, 1293])).
% 0.69/0.76 tff(2764,plain,
% 0.69/0.76 (~xuntil6(s38)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2763, 2759])).
% 0.69/0.76 tff(2765,plain,
% 0.69/0.76 (~always3(s38)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[712, 2756])).
% 0.69/0.76 tff(2766,plain,
% 0.69/0.76 (~node4(s38)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1111, 67, 2765])).
% 0.69/0.76 tff(2767,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s38) | node4(s38) | (~until5(s38)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2768,plain,
% 0.69/0.76 ((node4(s38) | (~until5(s38)) | xuntil6(s38)) <=> (xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2769,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s38) | node4(s38) | (~until5(s38))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2768])).
% 0.69/0.76 tff(2770,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2769, 2767])).
% 0.69/0.76 tff(2771,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2772,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 0.69/0.76 tff(2773,plain,
% 0.69/0.76 (xuntil6(s38) | (~until5(s38))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2772, 1275, 2766])).
% 0.69/0.76 tff(2774,plain,
% 0.69/0.76 (~until5(s38)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2773, 2764])).
% 0.69/0.76 tff(2775,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2776,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2777,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38)),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2776, 2775])).
% 0.69/0.76 tff(2778,plain,
% 0.69/0.76 ((~xuntil6(s37)) | until5(s38)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2777, 716, 1293])).
% 0.69/0.76 tff(2779,plain,
% 0.69/0.76 (~xuntil6(s37)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2778, 2774])).
% 0.69/0.76 tff(2780,plain,
% 0.69/0.76 (~always3(s37)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[724, 2765])).
% 0.69/0.76 tff(2781,plain,
% 0.69/0.76 (~node4(s37)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1154, 67, 2780])).
% 0.69/0.76 tff(2782,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s37) | node4(s37) | (~until5(s37)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2783,plain,
% 0.69/0.76 ((node4(s37) | (~until5(s37)) | xuntil6(s37)) <=> (xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2784,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s37) | node4(s37) | (~until5(s37))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2783])).
% 0.69/0.76 tff(2785,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2784, 2782])).
% 0.69/0.76 tff(2786,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2787,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 0.69/0.76 tff(2788,plain,
% 0.69/0.76 (xuntil6(s37) | (~until5(s37))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2787, 1275, 2781])).
% 0.69/0.76 tff(2789,plain,
% 0.69/0.76 (~until5(s37)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2788, 2779])).
% 0.69/0.76 tff(2790,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2791,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2792,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37)),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2791, 2790])).
% 0.69/0.76 tff(2793,plain,
% 0.69/0.76 ((~xuntil6(s36)) | until5(s37)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2792, 258, 1293])).
% 0.69/0.76 tff(2794,plain,
% 0.69/0.76 (~xuntil6(s36)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2793, 2789])).
% 0.69/0.76 tff(2795,plain,
% 0.69/0.76 (~always3(s36)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[266, 2780])).
% 0.69/0.76 tff(2796,plain,
% 0.69/0.76 (~node4(s36)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[254, 67, 2795])).
% 0.69/0.76 tff(2797,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s36) | node4(s36) | (~until5(s36)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2798,plain,
% 0.69/0.76 ((node4(s36) | (~until5(s36)) | xuntil6(s36)) <=> (xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2799,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s36) | node4(s36) | (~until5(s36))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2798])).
% 0.69/0.76 tff(2800,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2799, 2797])).
% 0.69/0.76 tff(2801,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2802,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 0.69/0.76 tff(2803,plain,
% 0.69/0.76 (xuntil6(s36) | (~until5(s36))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2802, 1275, 2796])).
% 0.69/0.76 tff(2804,plain,
% 0.69/0.76 (~until5(s36)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2803, 2794])).
% 0.69/0.76 tff(2805,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2806,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2807,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36)),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 0.69/0.76 tff(2808,plain,
% 0.69/0.76 ((~xuntil6(s35)) | until5(s36)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2807, 729, 1293])).
% 0.69/0.76 tff(2809,plain,
% 0.69/0.76 (~xuntil6(s35)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2808, 2804])).
% 0.69/0.76 tff(2810,plain,
% 0.69/0.76 (~always3(s35)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[737, 2795])).
% 0.69/0.76 tff(2811,plain,
% 0.69/0.76 (~node4(s35)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1159, 67, 2810])).
% 0.69/0.76 tff(2812,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s35) | node4(s35) | (~until5(s35)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2813,plain,
% 0.69/0.76 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2814,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s35) | node4(s35) | (~until5(s35))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2813])).
% 0.69/0.76 tff(2815,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2814, 2812])).
% 0.69/0.76 tff(2816,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2817,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 0.69/0.76 tff(2818,plain,
% 0.69/0.76 (xuntil6(s35) | (~until5(s35))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2817, 1275, 2811])).
% 0.69/0.76 tff(2819,plain,
% 0.69/0.76 (~until5(s35)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2818, 2809])).
% 0.69/0.76 tff(2820,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2821,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2822,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35)),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 0.69/0.76 tff(2823,plain,
% 0.69/0.76 ((~xuntil6(s34)) | until5(s35)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2822, 741, 1293])).
% 0.69/0.76 tff(2824,plain,
% 0.69/0.76 (~xuntil6(s34)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2823, 2819])).
% 0.69/0.76 tff(2825,plain,
% 0.69/0.76 (~always3(s34)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[749, 2810])).
% 0.69/0.76 tff(2826,plain,
% 0.69/0.76 (~node4(s34)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[1680, 67, 2825])).
% 0.69/0.76 tff(2827,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s34) | node4(s34) | (~until5(s34)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2828,plain,
% 0.69/0.76 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2829,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s34) | node4(s34) | (~until5(s34))))),
% 0.69/0.76 inference(monotonicity,[status(thm)],[2828])).
% 0.69/0.76 tff(2830,plain,
% 0.69/0.76 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 0.69/0.76 inference(transitivity,[status(thm)],[2829, 2827])).
% 0.69/0.76 tff(2831,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2832,plain,
% 0.69/0.76 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 0.69/0.76 tff(2833,plain,
% 0.69/0.76 (xuntil6(s34) | (~until5(s34))),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2832, 1275, 2826])).
% 0.69/0.76 tff(2834,plain,
% 0.69/0.76 (~until5(s34)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2833, 2824])).
% 0.69/0.76 tff(2835,plain,
% 0.69/0.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 0.69/0.76 inference(rewrite,[status(thm)],[])).
% 0.69/0.76 tff(2836,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 0.69/0.76 inference(quant_inst,[status(thm)],[])).
% 0.69/0.76 tff(2837,plain,
% 0.69/0.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 0.69/0.76 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 0.69/0.76 tff(2838,plain,
% 0.69/0.76 ((~xuntil6(s33)) | until5(s34)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2837, 753, 1293])).
% 0.69/0.76 tff(2839,plain,
% 0.69/0.76 (~xuntil6(s33)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[2838, 2834])).
% 0.69/0.76 tff(2840,plain,
% 0.69/0.76 (~always3(s33)),
% 0.69/0.76 inference(unit_resolution,[status(thm)],[761, 2825])).
% 0.69/0.77 tff(2841,plain,
% 0.69/0.77 (~node4(s33)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1163, 67, 2840])).
% 0.69/0.77 tff(2842,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s33) | node4(s33) | (~until5(s33)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2843,plain,
% 0.69/0.77 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2844,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s33) | node4(s33) | (~until5(s33))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2843])).
% 0.69/0.77 tff(2845,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2844, 2842])).
% 0.69/0.77 tff(2846,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2847,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 0.69/0.77 tff(2848,plain,
% 0.69/0.77 (xuntil6(s33) | (~until5(s33))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2847, 1275, 2841])).
% 0.69/0.77 tff(2849,plain,
% 0.69/0.77 (~until5(s33)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2848, 2839])).
% 0.69/0.77 tff(2850,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2851,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2852,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 0.69/0.77 tff(2853,plain,
% 0.69/0.77 ((~xuntil6(s32)) | until5(s33)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2852, 765, 1293])).
% 0.69/0.77 tff(2854,plain,
% 0.69/0.77 (~xuntil6(s32)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2853, 2849])).
% 0.69/0.77 tff(2855,plain,
% 0.69/0.77 (~always3(s32)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[773, 2840])).
% 0.69/0.77 tff(2856,plain,
% 0.69/0.77 (~node4(s32)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1167, 67, 2855])).
% 0.69/0.77 tff(2857,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s32) | node4(s32) | (~until5(s32)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2858,plain,
% 0.69/0.77 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2859,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s32) | node4(s32) | (~until5(s32))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2858])).
% 0.69/0.77 tff(2860,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2859, 2857])).
% 0.69/0.77 tff(2861,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2862,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2861, 2860])).
% 0.69/0.77 tff(2863,plain,
% 0.69/0.77 (xuntil6(s32) | (~until5(s32))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2862, 1275, 2856])).
% 0.69/0.77 tff(2864,plain,
% 0.69/0.77 (~until5(s32)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2863, 2854])).
% 0.69/0.77 tff(2865,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2866,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2867,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2866, 2865])).
% 0.69/0.77 tff(2868,plain,
% 0.69/0.77 ((~xuntil6(s31)) | until5(s32)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2867, 777, 1293])).
% 0.69/0.77 tff(2869,plain,
% 0.69/0.77 (~xuntil6(s31)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2868, 2864])).
% 0.69/0.77 tff(2870,plain,
% 0.69/0.77 (~always3(s31)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[785, 2855])).
% 0.69/0.77 tff(2871,plain,
% 0.69/0.77 (~node4(s31)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1171, 67, 2870])).
% 0.69/0.77 tff(2872,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s31) | node4(s31) | (~until5(s31)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2873,plain,
% 0.69/0.77 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2874,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s31) | node4(s31) | (~until5(s31))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2873])).
% 0.69/0.77 tff(2875,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2874, 2872])).
% 0.69/0.77 tff(2876,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2877,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 0.69/0.77 tff(2878,plain,
% 0.69/0.77 (xuntil6(s31) | (~until5(s31))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2877, 1275, 2871])).
% 0.69/0.77 tff(2879,plain,
% 0.69/0.77 (~until5(s31)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2878, 2869])).
% 0.69/0.77 tff(2880,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2881,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2882,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 0.69/0.77 tff(2883,plain,
% 0.69/0.77 ((~xuntil6(s30)) | until5(s31)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2882, 789, 1293])).
% 0.69/0.77 tff(2884,plain,
% 0.69/0.77 (~xuntil6(s30)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2883, 2879])).
% 0.69/0.77 tff(2885,plain,
% 0.69/0.77 (~always3(s30)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[797, 2870])).
% 0.69/0.77 tff(2886,plain,
% 0.69/0.77 (~node4(s30)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1175, 67, 2885])).
% 0.69/0.77 tff(2887,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s30) | node4(s30) | (~until5(s30)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2888,plain,
% 0.69/0.77 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2889,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s30) | node4(s30) | (~until5(s30))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2888])).
% 0.69/0.77 tff(2890,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2889, 2887])).
% 0.69/0.77 tff(2891,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2892,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2891, 2890])).
% 0.69/0.77 tff(2893,plain,
% 0.69/0.77 (xuntil6(s30) | (~until5(s30))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2892, 1275, 2886])).
% 0.69/0.77 tff(2894,plain,
% 0.69/0.77 (~until5(s30)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2893, 2884])).
% 0.69/0.77 tff(2895,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2896,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2897,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2896, 2895])).
% 0.69/0.77 tff(2898,plain,
% 0.69/0.77 ((~xuntil6(s29)) | until5(s30)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2897, 801, 1293])).
% 0.69/0.77 tff(2899,plain,
% 0.69/0.77 (~xuntil6(s29)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2898, 2894])).
% 0.69/0.77 tff(2900,plain,
% 0.69/0.77 (~always3(s29)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[809, 2885])).
% 0.69/0.77 tff(2901,plain,
% 0.69/0.77 (~node4(s29)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1179, 67, 2900])).
% 0.69/0.77 tff(2902,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s29) | node4(s29) | (~until5(s29)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2903,plain,
% 0.69/0.77 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2904,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s29) | node4(s29) | (~until5(s29))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2903])).
% 0.69/0.77 tff(2905,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2904, 2902])).
% 0.69/0.77 tff(2906,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2907,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 0.69/0.77 tff(2908,plain,
% 0.69/0.77 (xuntil6(s29) | (~until5(s29))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2907, 1275, 2901])).
% 0.69/0.77 tff(2909,plain,
% 0.69/0.77 (~until5(s29)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2908, 2899])).
% 0.69/0.77 tff(2910,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2911,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2912,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2911, 2910])).
% 0.69/0.77 tff(2913,plain,
% 0.69/0.77 ((~xuntil6(s28)) | until5(s29)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2912, 813, 1293])).
% 0.69/0.77 tff(2914,plain,
% 0.69/0.77 (~xuntil6(s28)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2913, 2909])).
% 0.69/0.77 tff(2915,plain,
% 0.69/0.77 (~always3(s28)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[821, 2900])).
% 0.69/0.77 tff(2916,plain,
% 0.69/0.77 (~node4(s28)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1183, 67, 2915])).
% 0.69/0.77 tff(2917,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s28) | node4(s28) | (~until5(s28)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2918,plain,
% 0.69/0.77 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2919,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s28) | node4(s28) | (~until5(s28))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2918])).
% 0.69/0.77 tff(2920,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2919, 2917])).
% 0.69/0.77 tff(2921,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2922,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2921, 2920])).
% 0.69/0.77 tff(2923,plain,
% 0.69/0.77 (xuntil6(s28) | (~until5(s28))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2922, 1275, 2916])).
% 0.69/0.77 tff(2924,plain,
% 0.69/0.77 (~until5(s28)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2923, 2914])).
% 0.69/0.77 tff(2925,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2926,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2927,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 0.69/0.77 tff(2928,plain,
% 0.69/0.77 ((~xuntil6(s27)) | until5(s28)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2927, 825, 1293])).
% 0.69/0.77 tff(2929,plain,
% 0.69/0.77 (~xuntil6(s27)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2928, 2924])).
% 0.69/0.77 tff(2930,plain,
% 0.69/0.77 (~always3(s27)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[833, 2915])).
% 0.69/0.77 tff(2931,plain,
% 0.69/0.77 (~node4(s27)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1788, 67, 2930])).
% 0.69/0.77 tff(2932,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s27) | node4(s27) | (~until5(s27)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2933,plain,
% 0.69/0.77 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2934,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s27) | node4(s27) | (~until5(s27))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2933])).
% 0.69/0.77 tff(2935,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2934, 2932])).
% 0.69/0.77 tff(2936,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2937,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 0.69/0.77 tff(2938,plain,
% 0.69/0.77 (xuntil6(s27) | (~until5(s27))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2937, 1275, 2931])).
% 0.69/0.77 tff(2939,plain,
% 0.69/0.77 (~until5(s27)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2938, 2929])).
% 0.69/0.77 tff(2940,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2941,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2942,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2941, 2940])).
% 0.69/0.77 tff(2943,plain,
% 0.69/0.77 ((~xuntil6(s26)) | until5(s27)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2942, 837, 1293])).
% 0.69/0.77 tff(2944,plain,
% 0.69/0.77 (~xuntil6(s26)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2943, 2939])).
% 0.69/0.77 tff(2945,plain,
% 0.69/0.77 (~always3(s26)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[845, 2930])).
% 0.69/0.77 tff(2946,plain,
% 0.69/0.77 (~node4(s26)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1187, 67, 2945])).
% 0.69/0.77 tff(2947,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s26) | node4(s26) | (~until5(s26)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2948,plain,
% 0.69/0.77 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2949,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s26) | node4(s26) | (~until5(s26))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2948])).
% 0.69/0.77 tff(2950,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2949, 2947])).
% 0.69/0.77 tff(2951,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2952,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2951, 2950])).
% 0.69/0.77 tff(2953,plain,
% 0.69/0.77 (xuntil6(s26) | (~until5(s26))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2952, 1275, 2946])).
% 0.69/0.77 tff(2954,plain,
% 0.69/0.77 (~until5(s26)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2953, 2944])).
% 0.69/0.77 tff(2955,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2956,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2957,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 0.69/0.77 tff(2958,plain,
% 0.69/0.77 ((~xuntil6(s25)) | until5(s26)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2957, 849, 1293])).
% 0.69/0.77 tff(2959,plain,
% 0.69/0.77 (~xuntil6(s25)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2958, 2954])).
% 0.69/0.77 tff(2960,plain,
% 0.69/0.77 (~always3(s25)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[857, 2945])).
% 0.69/0.77 tff(2961,plain,
% 0.69/0.77 (~node4(s25)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1191, 67, 2960])).
% 0.69/0.77 tff(2962,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s25) | node4(s25) | (~until5(s25)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2963,plain,
% 0.69/0.77 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2964,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s25) | node4(s25) | (~until5(s25))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[2963])).
% 0.69/0.77 tff(2965,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[2964, 2962])).
% 0.69/0.77 tff(2966,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(2967,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[2966, 2965])).
% 0.69/0.77 tff(2968,plain,
% 0.69/0.77 (xuntil6(s25) | (~until5(s25))),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2967, 1275, 2961])).
% 0.69/0.77 tff(2969,plain,
% 0.69/0.77 (~until5(s25)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[2968, 2959])).
% 0.69/0.77 tff(2970,plain,
% 0.69/0.77 (~always3(s24)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[502, 2960])).
% 0.69/0.77 tff(2971,plain,
% 0.69/0.77 (~always3(s23)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[870, 2970])).
% 0.69/0.77 tff(2972,plain,
% 0.69/0.77 (~always3(s22)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[882, 2971])).
% 0.69/0.77 tff(2973,plain,
% 0.69/0.77 (~always3(s21)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[367, 2972])).
% 0.69/0.77 tff(2974,plain,
% 0.69/0.77 (~always3(s20)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[551, 2973])).
% 0.69/0.77 tff(2975,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[896, 2974])).
% 0.69/0.77 tff(2976,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[459, 2975])).
% 0.69/0.77 tff(2977,plain,
% 0.69/0.77 (~always3(s17)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[345, 2976])).
% 0.69/0.77 tff(2978,plain,
% 0.69/0.77 (~always3(s16)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[910, 2977])).
% 0.69/0.77 tff(2979,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[922, 2978])).
% 0.69/0.77 tff(2980,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[934, 2979])).
% 0.69/0.77 tff(2981,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[946, 2980])).
% 0.69/0.77 tff(2982,plain,
% 0.69/0.77 (~always3(s12)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[958, 2981])).
% 0.69/0.77 tff(2983,plain,
% 0.69/0.77 (~always3(s11)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[416, 2982])).
% 0.69/0.77 tff(2984,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[121, 2983])).
% 0.69/0.77 tff(2985,plain,
% 0.69/0.77 (~always3(s9)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[180, 2984])).
% 0.69/0.77 tff(2986,plain,
% 0.69/0.77 (~always3(s8)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[973, 2985])).
% 0.69/0.77 tff(2987,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[985, 2986])).
% 0.69/0.77 tff(2988,plain,
% 0.69/0.77 (~always3(s6)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[997, 2987])).
% 0.69/0.77 tff(2989,plain,
% 0.69/0.77 (~always3(s5)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1009, 2988])).
% 0.69/0.77 tff(2990,plain,
% 0.69/0.77 (~always3(s4)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[1021, 2989])).
% 0.69/0.77 tff(2991,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[1033, 2990])).
% 0.69/0.77 tff(2992,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[1045, 2991])).
% 0.69/0.77 tff(2993,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[223, 2992])).
% 0.69/0.77 tff(2994,plain,
% 0.69/0.77 (~node4(s1)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[211, 67, 2993])).
% 0.69/0.77 tff(2995,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[85, 2993])).
% 0.69/0.77 tff(2996,plain,
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% 0.69/0.77 inference(unit_resolution,[status(thm)],[70, 67, 2995])).
% 0.69/0.77 tff(2997,plain,
% 0.69/0.77 (until5(s0) <=> until5(s0)),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(2998,axiom,(until5(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty13')).
% 0.69/0.77 tff(2999,plain,
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% 0.69/0.77 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 0.69/0.77 tff(3000,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s0) | node4(s0) | (~until5(s0)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(3001,plain,
% 0.69/0.77 ((node4(s0) | (~until5(s0)) | xuntil6(s0)) <=> (xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(3002,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s0) | node4(s0) | (~until5(s0))))),
% 0.69/0.77 inference(monotonicity,[status(thm)],[3001])).
% 0.69/0.77 tff(3003,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 0.69/0.77 inference(transitivity,[status(thm)],[3002, 3000])).
% 0.69/0.77 tff(3004,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(3005,plain,
% 0.69/0.77 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0))),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[3004, 3003])).
% 0.69/0.77 tff(3006,plain,
% 0.69/0.77 (xuntil6(s0) | node4(s0)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[3005, 1275, 2999])).
% 0.69/0.77 tff(3007,plain,
% 0.69/0.77 (xuntil6(s0)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[3006, 2996])).
% 0.69/0.77 tff(3008,plain,
% 0.69/0.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(3009,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 0.69/0.77 inference(quant_inst,[status(thm)],[])).
% 0.69/0.77 tff(3010,plain,
% 0.69/0.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1)),
% 0.69/0.77 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 0.69/0.77 tff(3011,plain,
% 0.69/0.77 ((~xuntil6(s0)) | until5(s1)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[3010, 34, 1293])).
% 0.69/0.77 tff(3012,plain,
% 0.69/0.77 (until5(s1)),
% 0.69/0.77 inference(unit_resolution,[status(thm)],[3011, 3007])).
% 0.69/0.77 tff(3013,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s1) | node4(s1) | (~until5(s1)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(3014,plain,
% 0.69/0.77 ((node4(s1) | (~until5(s1)) | xuntil6(s1)) <=> (xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 0.69/0.77 inference(rewrite,[status(thm)],[])).
% 0.69/0.77 tff(3015,plain,
% 0.69/0.77 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s1) | node4(s1) | (~until5(s1))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3014])).
% 0.69/0.78 tff(3016,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3015, 3013])).
% 0.69/0.78 tff(3017,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3018,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 0.69/0.78 tff(3019,plain,
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3018, 1275, 3012, 2994])).
% 0.69/0.78 tff(3020,plain,
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3021,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3022,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3021, 3020])).
% 0.69/0.78 tff(3023,plain,
% 0.69/0.78 ((~xuntil6(s1)) | until5(s2)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3022, 215, 1293])).
% 0.69/0.78 tff(3024,plain,
% 0.69/0.78 (until5(s2)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3023, 3019])).
% 0.69/0.78 tff(3025,plain,
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[1255, 67, 2992])).
% 0.69/0.78 tff(3026,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s2) | node4(s2) | (~until5(s2)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3027,plain,
% 0.69/0.78 ((node4(s2) | (~until5(s2)) | xuntil6(s2)) <=> (xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3028,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s2) | node4(s2) | (~until5(s2))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3027])).
% 0.69/0.78 tff(3029,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3028, 3026])).
% 0.69/0.78 tff(3030,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3031,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 0.69/0.78 tff(3032,plain,
% 0.69/0.78 (xuntil6(s2) | (~until5(s2))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3031, 1275, 3025])).
% 0.69/0.78 tff(3033,plain,
% 0.69/0.78 (xuntil6(s2)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3032, 3024])).
% 0.69/0.78 tff(3034,plain,
% 0.69/0.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3035,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3036,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3035, 3034])).
% 0.69/0.78 tff(3037,plain,
% 0.69/0.78 ((~xuntil6(s2)) | until5(s3)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3036, 1037, 1293])).
% 0.69/0.78 tff(3038,plain,
% 0.69/0.78 (until5(s3)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3037, 3033])).
% 0.69/0.78 tff(3039,plain,
% 0.69/0.78 (~node4(s3)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[1251, 67, 2991])).
% 0.69/0.78 tff(3040,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s3) | node4(s3) | (~until5(s3)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3041,plain,
% 0.69/0.78 ((node4(s3) | (~until5(s3)) | xuntil6(s3)) <=> (xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3042,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s3) | node4(s3) | (~until5(s3))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3041])).
% 0.69/0.78 tff(3043,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3042, 3040])).
% 0.69/0.78 tff(3044,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3045,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3044, 3043])).
% 0.69/0.78 tff(3046,plain,
% 0.69/0.78 (xuntil6(s3) | (~until5(s3))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3045, 1275, 3039])).
% 0.69/0.78 tff(3047,plain,
% 0.69/0.78 (xuntil6(s3)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3046, 3038])).
% 0.69/0.78 tff(3048,plain,
% 0.69/0.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3049,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3050,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3049, 3048])).
% 0.69/0.78 tff(3051,plain,
% 0.69/0.78 ((~xuntil6(s3)) | until5(s4)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3050, 1025, 1293])).
% 0.69/0.78 tff(3052,plain,
% 0.69/0.78 (until5(s4)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3051, 3047])).
% 0.69/0.78 tff(3053,plain,
% 0.69/0.78 (~node4(s4)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[1247, 67, 2990])).
% 0.69/0.78 tff(3054,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s4) | node4(s4) | (~until5(s4)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3055,plain,
% 0.69/0.78 ((node4(s4) | (~until5(s4)) | xuntil6(s4)) <=> (xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3056,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s4) | node4(s4) | (~until5(s4))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3055])).
% 0.69/0.78 tff(3057,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3056, 3054])).
% 0.69/0.78 tff(3058,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3059,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 0.69/0.78 tff(3060,plain,
% 0.69/0.78 (xuntil6(s4) | (~until5(s4))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3059, 1275, 3053])).
% 0.69/0.78 tff(3061,plain,
% 0.69/0.78 (xuntil6(s4)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3060, 3052])).
% 0.69/0.78 tff(3062,plain,
% 0.69/0.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3063,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3064,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 0.69/0.78 tff(3065,plain,
% 0.69/0.78 ((~xuntil6(s4)) | until5(s5)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3064, 1013, 1293])).
% 0.69/0.78 tff(3066,plain,
% 0.69/0.78 (until5(s5)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3065, 3061])).
% 0.69/0.78 tff(3067,plain,
% 0.69/0.78 (~node4(s5)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[1243, 67, 2989])).
% 0.69/0.78 tff(3068,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s5) | node4(s5) | (~until5(s5)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3069,plain,
% 0.69/0.78 ((node4(s5) | (~until5(s5)) | xuntil6(s5)) <=> (xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3070,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s5) | node4(s5) | (~until5(s5))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3069])).
% 0.69/0.78 tff(3071,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3070, 3068])).
% 0.69/0.78 tff(3072,plain,
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3073,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 0.69/0.78 tff(3074,plain,
% 0.69/0.78 (xuntil6(s5) | (~until5(s5))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3073, 1275, 3067])).
% 0.69/0.78 tff(3075,plain,
% 0.69/0.78 (xuntil6(s5)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3074, 3066])).
% 0.69/0.78 tff(3076,plain,
% 0.69/0.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3077,plain,
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3078,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3077, 3076])).
% 0.69/0.78 tff(3079,plain,
% 0.69/0.78 ((~xuntil6(s5)) | until5(s6)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3078, 1001, 1293])).
% 0.69/0.78 tff(3080,plain,
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3079, 3075])).
% 0.69/0.78 tff(3081,plain,
% 0.69/0.78 (~node4(s6)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[1239, 67, 2988])).
% 0.69/0.78 tff(3082,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s6) | node4(s6) | (~until5(s6)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3083,plain,
% 0.69/0.78 ((node4(s6) | (~until5(s6)) | xuntil6(s6)) <=> (xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3084,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s6) | node4(s6) | (~until5(s6))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3083])).
% 0.69/0.78 tff(3085,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3084, 3082])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3087,plain,
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% 0.69/0.78 inference(modus_ponens,[status(thm)],[3086, 3085])).
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% 0.69/0.78 (xuntil6(s6) | (~until5(s6))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3087, 1275, 3081])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3088, 3080])).
% 0.69/0.78 tff(3090,plain,
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3091,plain,
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3092,plain,
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% 0.69/0.78 inference(modus_ponens,[status(thm)],[3091, 3090])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3092, 989, 1293])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3093, 3089])).
% 0.69/0.78 tff(3095,plain,
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[1235, 67, 2987])).
% 0.69/0.78 tff(3096,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s7) | node4(s7) | (~until5(s7)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3097,plain,
% 0.69/0.78 ((node4(s7) | (~until5(s7)) | xuntil6(s7)) <=> (xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3098,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s7) | node4(s7) | (~until5(s7))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3097])).
% 0.69/0.78 tff(3099,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3098, 3096])).
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% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3101,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3100, 3099])).
% 0.69/0.78 tff(3102,plain,
% 0.69/0.78 (xuntil6(s7) | (~until5(s7))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3101, 1275, 3095])).
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% 0.69/0.78 (xuntil6(s7)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3102, 3094])).
% 0.69/0.78 tff(3104,plain,
% 0.69/0.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3105,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3106,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 0.69/0.78 tff(3107,plain,
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3106, 977, 1293])).
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% 0.69/0.78 (until5(s8)),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3107, 3103])).
% 0.69/0.78 tff(3109,plain,
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[1231, 67, 2986])).
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% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s8) | node4(s8) | (~until5(s8)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3111,plain,
% 0.69/0.78 ((node4(s8) | (~until5(s8)) | xuntil6(s8)) <=> (xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3112,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s8) | node4(s8) | (~until5(s8))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3111])).
% 0.69/0.78 tff(3113,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3112, 3110])).
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% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))),
% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3115,plain,
% 0.69/0.78 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8))),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 0.69/0.78 tff(3116,plain,
% 0.69/0.78 (xuntil6(s8) | (~until5(s8))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3115, 1275, 3109])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3116, 3108])).
% 0.69/0.78 tff(3118,plain,
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3120,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3119, 3118])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3120, 965, 1293])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3121, 3117])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[168, 67, 2985])).
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% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s9) | node4(s9) | (~until5(s9)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3125,plain,
% 0.69/0.78 ((node4(s9) | (~until5(s9)) | xuntil6(s9)) <=> (xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3126,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s9) | node4(s9) | (~until5(s9))))),
% 0.69/0.78 inference(monotonicity,[status(thm)],[3125])).
% 0.69/0.78 tff(3127,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 0.69/0.78 inference(transitivity,[status(thm)],[3126, 3124])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3129,plain,
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% 0.69/0.78 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 0.69/0.78 tff(3130,plain,
% 0.69/0.78 (xuntil6(s9) | (~until5(s9))),
% 0.69/0.78 inference(unit_resolution,[status(thm)],[3129, 1275, 3123])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3130, 3122])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
% 0.69/0.78 tff(3134,plain,
% 0.69/0.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10)),
% 0.69/0.78 inference(modus_ponens,[status(thm)],[3133, 3132])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3134, 172, 1293])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3135, 3131])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[109, 67, 2984])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(monotonicity,[status(thm)],[3139])).
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% 0.69/0.78 inference(transitivity,[status(thm)],[3140, 3138])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
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% 0.69/0.78 inference(modus_ponens,[status(thm)],[3142, 3141])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3143, 1275, 3137])).
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% 0.69/0.78 inference(unit_resolution,[status(thm)],[3144, 3136])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
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% 0.69/0.78 inference(modus_ponens,[status(thm)],[3147, 3146])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(monotonicity,[status(thm)],[3153])).
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% 0.69/0.78 inference(transitivity,[status(thm)],[3154, 3152])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(quant_inst,[status(thm)],[])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
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% 0.69/0.78 inference(rewrite,[status(thm)],[])).
% 0.69/0.78 tff(3168,plain,
% 0.69/0.78 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s12) | node4(s12) | (~until5(s12))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3167])).
% 0.69/0.79 tff(3169,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3168, 3166])).
% 0.69/0.79 tff(3170,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3171,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 0.69/0.79 tff(3172,plain,
% 0.69/0.79 (xuntil6(s12) | (~until5(s12))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3171, 1275, 3165])).
% 0.69/0.79 tff(3173,plain,
% 0.69/0.79 (xuntil6(s12)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3172, 3164])).
% 0.69/0.79 tff(3174,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3175,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3176,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3175, 3174])).
% 0.69/0.79 tff(3177,plain,
% 0.69/0.79 ((~xuntil6(s12)) | until5(s13)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3176, 950, 1293])).
% 0.69/0.79 tff(3178,plain,
% 0.69/0.79 (until5(s13)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3177, 3173])).
% 0.69/0.79 tff(3179,plain,
% 0.69/0.79 (~node4(s13)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[1220, 67, 2981])).
% 0.69/0.79 tff(3180,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s13) | node4(s13) | (~until5(s13)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3181,plain,
% 0.69/0.79 ((node4(s13) | (~until5(s13)) | xuntil6(s13)) <=> (xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3182,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s13) | node4(s13) | (~until5(s13))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3181])).
% 0.69/0.79 tff(3183,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3182, 3180])).
% 0.69/0.79 tff(3184,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3185,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 0.69/0.79 tff(3186,plain,
% 0.69/0.79 (xuntil6(s13) | (~until5(s13))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3185, 1275, 3179])).
% 0.69/0.79 tff(3187,plain,
% 0.69/0.79 (xuntil6(s13)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3186, 3178])).
% 0.69/0.79 tff(3188,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3189,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3190,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 0.69/0.79 tff(3191,plain,
% 0.69/0.79 ((~xuntil6(s13)) | until5(s14)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3190, 938, 1293])).
% 0.69/0.79 tff(3192,plain,
% 0.69/0.79 (until5(s14)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3191, 3187])).
% 0.69/0.79 tff(3193,plain,
% 0.69/0.79 (~node4(s14)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[1216, 67, 2980])).
% 0.69/0.79 tff(3194,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s14) | node4(s14) | (~until5(s14)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3195,plain,
% 0.69/0.79 ((node4(s14) | (~until5(s14)) | xuntil6(s14)) <=> (xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3196,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s14) | node4(s14) | (~until5(s14))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3195])).
% 0.69/0.79 tff(3197,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3196, 3194])).
% 0.69/0.79 tff(3198,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3199,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3198, 3197])).
% 0.69/0.79 tff(3200,plain,
% 0.69/0.79 (xuntil6(s14) | (~until5(s14))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3199, 1275, 3193])).
% 0.69/0.79 tff(3201,plain,
% 0.69/0.79 (xuntil6(s14)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3200, 3192])).
% 0.69/0.79 tff(3202,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3203,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3204,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 0.69/0.79 tff(3205,plain,
% 0.69/0.79 ((~xuntil6(s14)) | until5(s15)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3204, 926, 1293])).
% 0.69/0.79 tff(3206,plain,
% 0.69/0.79 (until5(s15)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3205, 3201])).
% 0.69/0.79 tff(3207,plain,
% 0.69/0.79 (~node4(s15)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[1212, 67, 2979])).
% 0.69/0.79 tff(3208,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s15) | node4(s15) | (~until5(s15)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3209,plain,
% 0.69/0.79 ((node4(s15) | (~until5(s15)) | xuntil6(s15)) <=> (xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3210,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s15) | node4(s15) | (~until5(s15))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3209])).
% 0.69/0.79 tff(3211,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3210, 3208])).
% 0.69/0.79 tff(3212,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3213,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 0.69/0.79 tff(3214,plain,
% 0.69/0.79 (xuntil6(s15) | (~until5(s15))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3213, 1275, 3207])).
% 0.69/0.79 tff(3215,plain,
% 0.69/0.79 (xuntil6(s15)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3214, 3206])).
% 0.69/0.79 tff(3216,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3217,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3218,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 0.69/0.79 tff(3219,plain,
% 0.69/0.79 ((~xuntil6(s15)) | until5(s16)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3218, 914, 1293])).
% 0.69/0.79 tff(3220,plain,
% 0.69/0.79 (until5(s16)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3219, 3215])).
% 0.69/0.79 tff(3221,plain,
% 0.69/0.79 (~node4(s16)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[1208, 67, 2978])).
% 0.69/0.79 tff(3222,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s16) | node4(s16) | (~until5(s16)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3223,plain,
% 0.69/0.79 ((node4(s16) | (~until5(s16)) | xuntil6(s16)) <=> (xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3224,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s16) | node4(s16) | (~until5(s16))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3223])).
% 0.69/0.79 tff(3225,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3224, 3222])).
% 0.69/0.79 tff(3226,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3227,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3226, 3225])).
% 0.69/0.79 tff(3228,plain,
% 0.69/0.79 (xuntil6(s16) | (~until5(s16))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3227, 1275, 3221])).
% 0.69/0.79 tff(3229,plain,
% 0.69/0.79 (xuntil6(s16)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3228, 3220])).
% 0.69/0.79 tff(3230,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3231,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3232,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 0.69/0.79 tff(3233,plain,
% 0.69/0.79 ((~xuntil6(s16)) | until5(s17)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3232, 902, 1293])).
% 0.69/0.79 tff(3234,plain,
% 0.69/0.79 (until5(s17)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3233, 3229])).
% 0.69/0.79 tff(3235,plain,
% 0.69/0.79 (~node4(s17)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[299, 67, 2977])).
% 0.69/0.79 tff(3236,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s17) | node4(s17) | (~until5(s17)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3237,plain,
% 0.69/0.79 ((node4(s17) | (~until5(s17)) | xuntil6(s17)) <=> (xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3238,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s17) | node4(s17) | (~until5(s17))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3237])).
% 0.69/0.79 tff(3239,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3238, 3236])).
% 0.69/0.79 tff(3240,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3241,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3240, 3239])).
% 0.69/0.79 tff(3242,plain,
% 0.69/0.79 (xuntil6(s17) | (~until5(s17))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3241, 1275, 3235])).
% 0.69/0.79 tff(3243,plain,
% 0.69/0.79 (xuntil6(s17)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3242, 3234])).
% 0.69/0.79 tff(3244,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3245,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3246,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3245, 3244])).
% 0.69/0.79 tff(3247,plain,
% 0.69/0.79 ((~xuntil6(s17)) | until5(s18)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3246, 308, 1293])).
% 0.69/0.79 tff(3248,plain,
% 0.69/0.79 (until5(s18)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3247, 3243])).
% 0.69/0.79 tff(3249,plain,
% 0.69/0.79 (~node4(s18)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[447, 67, 2976])).
% 0.69/0.79 tff(3250,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s18) | node4(s18) | (~until5(s18)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3251,plain,
% 0.69/0.79 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3252,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s18) | node4(s18) | (~until5(s18))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3251])).
% 0.69/0.79 tff(3253,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3252, 3250])).
% 0.69/0.79 tff(3254,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3255,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3254, 3253])).
% 0.69/0.79 tff(3256,plain,
% 0.69/0.79 (xuntil6(s18) | (~until5(s18))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3255, 1275, 3249])).
% 0.69/0.79 tff(3257,plain,
% 0.69/0.79 (xuntil6(s18)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3256, 3248])).
% 0.69/0.79 tff(3258,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3259,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3260,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 0.69/0.79 tff(3261,plain,
% 0.69/0.79 ((~xuntil6(s18)) | until5(s19)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3260, 451, 1293])).
% 0.69/0.79 tff(3262,plain,
% 0.69/0.79 (until5(s19)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3261, 3257])).
% 0.69/0.79 tff(3263,plain,
% 0.69/0.79 (~node4(s19)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[1202, 67, 2975])).
% 0.69/0.79 tff(3264,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s19) | node4(s19) | (~until5(s19)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3265,plain,
% 0.69/0.79 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3266,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s19) | node4(s19) | (~until5(s19))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3265])).
% 0.69/0.79 tff(3267,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3266, 3264])).
% 0.69/0.79 tff(3268,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3269,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3268, 3267])).
% 0.69/0.79 tff(3270,plain,
% 0.69/0.79 (xuntil6(s19) | (~until5(s19))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3269, 1275, 3263])).
% 0.69/0.79 tff(3271,plain,
% 0.69/0.79 (xuntil6(s19)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3270, 3262])).
% 0.69/0.79 tff(3272,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3273,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3274,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 0.69/0.79 tff(3275,plain,
% 0.69/0.79 ((~xuntil6(s19)) | until5(s20)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3274, 888, 1293])).
% 0.69/0.79 tff(3276,plain,
% 0.69/0.79 (until5(s20)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3275, 3271])).
% 0.69/0.79 tff(3277,plain,
% 0.69/0.79 (~node4(s20)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[539, 67, 2974])).
% 0.69/0.79 tff(3278,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s20) | node4(s20) | (~until5(s20)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3279,plain,
% 0.69/0.79 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3280,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s20) | node4(s20) | (~until5(s20))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3279])).
% 0.69/0.79 tff(3281,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3280, 3278])).
% 0.69/0.79 tff(3282,plain,
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% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3283,plain,
% 0.69/0.79 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 0.69/0.79 tff(3284,plain,
% 0.69/0.79 (xuntil6(s20) | (~until5(s20))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3283, 1275, 3277])).
% 0.69/0.79 tff(3285,plain,
% 0.69/0.79 (xuntil6(s20)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3284, 3276])).
% 0.69/0.79 tff(3286,plain,
% 0.69/0.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3287,plain,
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% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3288,plain,
% 0.69/0.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 0.69/0.79 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 0.69/0.79 tff(3289,plain,
% 0.69/0.79 ((~xuntil6(s20)) | until5(s21)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3288, 543, 1293])).
% 0.69/0.79 tff(3290,plain,
% 0.69/0.79 (until5(s21)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3289, 3285])).
% 0.69/0.79 tff(3291,plain,
% 0.69/0.79 (~node4(s21)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[355, 67, 2973])).
% 0.69/0.79 tff(3292,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s21) | node4(s21) | (~until5(s21)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3293,plain,
% 0.69/0.79 ((node4(s21) | (~until5(s21)) | xuntil6(s21)) <=> (xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3294,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s21) | node4(s21) | (~until5(s21))))),
% 0.69/0.79 inference(monotonicity,[status(thm)],[3293])).
% 0.69/0.79 tff(3295,plain,
% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 0.69/0.79 inference(transitivity,[status(thm)],[3294, 3292])).
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% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3297,plain,
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% 0.69/0.79 inference(modus_ponens,[status(thm)],[3296, 3295])).
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% 0.69/0.79 (xuntil6(s21) | (~until5(s21))),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[3297, 1275, 3291])).
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% 0.69/0.79 inference(unit_resolution,[status(thm)],[3298, 3290])).
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% 0.69/0.79 inference(rewrite,[status(thm)],[])).
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% 0.69/0.79 inference(quant_inst,[status(thm)],[])).
% 0.69/0.79 tff(3302,plain,
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% 0.69/0.79 inference(modus_ponens,[status(thm)],[3301, 3300])).
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% 0.69/0.79 inference(unit_resolution,[status(thm)],[3302, 359, 1293])).
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% 0.69/0.79 inference(unit_resolution,[status(thm)],[3303, 3299])).
% 0.69/0.79 tff(3305,plain,
% 0.69/0.79 (~node4(s22)),
% 0.69/0.79 inference(unit_resolution,[status(thm)],[1886, 67, 2972])).
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% 0.69/0.79 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s22) | node4(s22) | (~until5(s22)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.79 tff(3307,plain,
% 0.69/0.79 ((node4(s22) | (~until5(s22)) | xuntil6(s22)) <=> (xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 0.69/0.79 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3308,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s22) | node4(s22) | (~until5(s22))))),
% 0.69/0.80 inference(monotonicity,[status(thm)],[3307])).
% 0.69/0.80 tff(3309,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 0.69/0.80 inference(transitivity,[status(thm)],[3308, 3306])).
% 0.69/0.80 tff(3310,plain,
% 0.69/0.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))),
% 0.69/0.80 inference(quant_inst,[status(thm)],[])).
% 0.69/0.80 tff(3311,plain,
% 0.69/0.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22))),
% 0.69/0.80 inference(modus_ponens,[status(thm)],[3310, 3309])).
% 0.69/0.80 tff(3312,plain,
% 0.69/0.80 (xuntil6(s22) | (~until5(s22))),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3311, 1275, 3305])).
% 0.69/0.80 tff(3313,plain,
% 0.69/0.80 (xuntil6(s22)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3312, 3304])).
% 0.69/0.80 tff(3314,plain,
% 0.69/0.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3315,plain,
% 0.69/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 0.69/0.80 inference(quant_inst,[status(thm)],[])).
% 0.69/0.80 tff(3316,plain,
% 0.69/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23)),
% 0.69/0.80 inference(modus_ponens,[status(thm)],[3315, 3314])).
% 0.69/0.80 tff(3317,plain,
% 0.69/0.80 ((~xuntil6(s22)) | until5(s23)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3316, 874, 1293])).
% 0.69/0.80 tff(3318,plain,
% 0.69/0.80 (until5(s23)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3317, 3313])).
% 0.69/0.80 tff(3319,plain,
% 0.69/0.80 (~node4(s23)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[1196, 67, 2971])).
% 0.69/0.80 tff(3320,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s23) | node4(s23) | (~until5(s23)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3321,plain,
% 0.69/0.80 ((node4(s23) | (~until5(s23)) | xuntil6(s23)) <=> (xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3322,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s23) | node4(s23) | (~until5(s23))))),
% 0.69/0.80 inference(monotonicity,[status(thm)],[3321])).
% 0.69/0.80 tff(3323,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 0.69/0.80 inference(transitivity,[status(thm)],[3322, 3320])).
% 0.69/0.80 tff(3324,plain,
% 0.69/0.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))),
% 0.69/0.80 inference(quant_inst,[status(thm)],[])).
% 0.69/0.80 tff(3325,plain,
% 0.69/0.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23))),
% 0.69/0.80 inference(modus_ponens,[status(thm)],[3324, 3323])).
% 0.69/0.80 tff(3326,plain,
% 0.69/0.80 (xuntil6(s23) | (~until5(s23))),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3325, 1275, 3319])).
% 0.69/0.80 tff(3327,plain,
% 0.69/0.80 (xuntil6(s23)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3326, 3318])).
% 0.69/0.80 tff(3328,plain,
% 0.69/0.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3329,plain,
% 0.69/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 0.69/0.80 inference(quant_inst,[status(thm)],[])).
% 0.69/0.80 tff(3330,plain,
% 0.69/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24)),
% 0.69/0.80 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 0.69/0.80 tff(3331,plain,
% 0.69/0.80 ((~xuntil6(s23)) | until5(s24)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3330, 862, 1293])).
% 0.69/0.80 tff(3332,plain,
% 0.69/0.80 (until5(s24)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3331, 3327])).
% 0.69/0.80 tff(3333,plain,
% 0.69/0.80 (~node4(s24)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[490, 67, 2970])).
% 0.69/0.80 tff(3334,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s24) | node4(s24) | (~until5(s24)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3335,plain,
% 0.69/0.80 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3336,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s24) | node4(s24) | (~until5(s24))))),
% 0.69/0.80 inference(monotonicity,[status(thm)],[3335])).
% 0.69/0.80 tff(3337,plain,
% 0.69/0.80 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 0.69/0.80 inference(transitivity,[status(thm)],[3336, 3334])).
% 0.69/0.80 tff(3338,plain,
% 0.69/0.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))),
% 0.69/0.80 inference(quant_inst,[status(thm)],[])).
% 0.69/0.80 tff(3339,plain,
% 0.69/0.80 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24))),
% 0.69/0.80 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 0.69/0.80 tff(3340,plain,
% 0.69/0.80 (xuntil6(s24) | (~until5(s24))),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3339, 1275, 3333])).
% 0.69/0.80 tff(3341,plain,
% 0.69/0.80 (xuntil6(s24)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3340, 3332])).
% 0.69/0.80 tff(3342,plain,
% 0.69/0.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3343,plain,
% 0.69/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 0.69/0.80 inference(quant_inst,[status(thm)],[])).
% 0.69/0.80 tff(3344,plain,
% 0.69/0.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 0.69/0.80 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 0.69/0.80 tff(3345,plain,
% 0.69/0.80 ((~xuntil6(s24)) | until5(s25)),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3344, 494, 1293])).
% 0.69/0.80 tff(3346,plain,
% 0.69/0.80 ($false),
% 0.69/0.80 inference(unit_resolution,[status(thm)],[3345, 3341, 2969])).
% 0.69/0.80 tff(3347,plain,(loop), inference(lemma,lemma(discharge,[]))).
% 0.69/0.80 tff(3348,plain,
% 0.69/0.80 (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3349,plain,
% 0.69/0.80 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48)) | trans(s49, s49)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49))),
% 0.69/0.80 inference(rewrite,[status(thm)],[])).
% 0.69/0.80 tff(3350,plain,
% 0.69/0.80 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47)) | trans(s49, s48)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48))),
% 0.69/0.81 inference(rewrite,[status(thm)],[])).
% 0.69/0.81 tff(3351,plain,
% 0.69/0.81 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46)) | trans(s49, s47)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47))),
% 0.69/0.81 inference(rewrite,[status(thm)],[])).
% 0.69/0.81 tff(3352,plain,
% 0.69/0.81 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45)) | trans(s49, s46)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46))),
% 0.69/0.81 inference(rewrite,[status(thm)],[])).
% 0.69/0.81 tff(3353,plain,
% 0.69/0.81 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44)) | trans(s49, s45)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45))),
% 0.69/0.81 inference(rewrite,[status(thm)],[])).
% 0.69/0.81 tff(3354,plain,
% 0.69/0.81 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43)) | trans(s49, s44)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44))),
% 0.69/0.81 inference(rewrite,[status(thm)],[])).
% 0.69/0.81 tff(3355,plain,
% 0.69/0.81 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42)) | trans(s49, s43)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3356,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41)) | trans(s49, s42)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3357,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40)) | trans(s49, s41)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3358,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39)) | trans(s49, s40)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3359,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38)) | trans(s49, s39)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3360,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37)) | trans(s49, s38)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3361,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36)) | trans(s49, s37)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3362,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35)) | trans(s49, s36)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36))),
% 0.69/0.82 inference(rewrite,[status(thm)],[])).
% 0.69/0.82 tff(3363,plain,
% 0.69/0.82 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34)) | trans(s49, s35)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3364,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33)) | trans(s49, s34)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3365,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32)) | trans(s49, s33)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3366,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31)) | trans(s49, s32)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3367,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30)) | trans(s49, s31)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3368,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29)) | trans(s49, s30)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3369,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28)) | trans(s49, s29)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3370,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27)) | trans(s49, s28)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3371,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26)) | trans(s49, s27)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3372,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25)) | trans(s49, s26)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.83 tff(3373,plain,
% 0.69/0.83 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24)) | trans(s49, s25)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25))),
% 0.69/0.83 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3374,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23)) | trans(s49, s24)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3375,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22)) | trans(s49, s23)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3376,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21)) | trans(s49, s22)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3377,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20)) | trans(s49, s21)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3378,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19)) | trans(s49, s20)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3379,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18)) | trans(s49, s19)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3380,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17)) | trans(s49, s18)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3381,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16)) | trans(s49, s17)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3382,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15)) | trans(s49, s16)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3383,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14)) | trans(s49, s15)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15))),
% 0.69/0.84 inference(rewrite,[status(thm)],[])).
% 0.69/0.84 tff(3384,plain,
% 0.69/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13)) | trans(s49, s14)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3385,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12)) | trans(s49, s13)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3386,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11)) | trans(s49, s12)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3387,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10)) | trans(s49, s11)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3388,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9)) | trans(s49, s10)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3389,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8)) | trans(s49, s9)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3390,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7)) | trans(s49, s8)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3391,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6)) | trans(s49, s7)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7))),
% 0.78/0.84 inference(rewrite,[status(thm)],[])).
% 0.78/0.84 tff(3392,plain,
% 0.78/0.84 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5)) | trans(s49, s6)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(3393,plain,
% 0.78/0.85 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4)) | trans(s49, s5)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(3394,plain,
% 0.78/0.85 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3)) | trans(s49, s4)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(3395,plain,
% 0.78/0.85 ((((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2)) | trans(s49, s3)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(3396,plain,
% 0.78/0.85 ((((~loop) | trans(s49, s0) | trans(s49, s1)) | trans(s49, s2)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(3397,plain,
% 0.78/0.85 ((((~loop) | trans(s49, s0)) | trans(s49, s1)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1))),
% 0.78/0.85 inference(rewrite,[status(thm)],[])).
% 0.78/0.85 tff(3398,plain,
% 0.78/0.85 (((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1)) | trans(s49, s2))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3397])).
% 0.78/0.85 tff(3399,plain,
% 0.78/0.85 (((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3398, 3396])).
% 0.78/0.85 tff(3400,plain,
% 0.78/0.85 ((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2)) | trans(s49, s3))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3399])).
% 0.78/0.85 tff(3401,plain,
% 0.78/0.85 ((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3400, 3395])).
% 0.78/0.85 tff(3402,plain,
% 0.78/0.85 (((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3)) | trans(s49, s4))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3401])).
% 0.78/0.85 tff(3403,plain,
% 0.78/0.85 (((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3402, 3394])).
% 0.78/0.85 tff(3404,plain,
% 0.78/0.85 ((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4)) | trans(s49, s5))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3403])).
% 0.78/0.85 tff(3405,plain,
% 0.78/0.85 ((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3404, 3393])).
% 0.78/0.85 tff(3406,plain,
% 0.78/0.85 (((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5)) | trans(s49, s6))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3405])).
% 0.78/0.85 tff(3407,plain,
% 0.78/0.85 (((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3406, 3392])).
% 0.78/0.85 tff(3408,plain,
% 0.78/0.85 ((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6)) | trans(s49, s7))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3407])).
% 0.78/0.85 tff(3409,plain,
% 0.78/0.85 ((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3408, 3391])).
% 0.78/0.85 tff(3410,plain,
% 0.78/0.85 (((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7)) | trans(s49, s8))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3409])).
% 0.78/0.85 tff(3411,plain,
% 0.78/0.85 (((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3410, 3390])).
% 0.78/0.85 tff(3412,plain,
% 0.78/0.85 ((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8)) | trans(s49, s9))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3411])).
% 0.78/0.85 tff(3413,plain,
% 0.78/0.85 ((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3412, 3389])).
% 0.78/0.85 tff(3414,plain,
% 0.78/0.85 (((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9)) | trans(s49, s10))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3413])).
% 0.78/0.85 tff(3415,plain,
% 0.78/0.85 (((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3414, 3388])).
% 0.78/0.85 tff(3416,plain,
% 0.78/0.85 ((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10)) | trans(s49, s11))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3415])).
% 0.78/0.85 tff(3417,plain,
% 0.78/0.85 ((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3416, 3387])).
% 0.78/0.85 tff(3418,plain,
% 0.78/0.85 (((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11)) | trans(s49, s12))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3417])).
% 0.78/0.85 tff(3419,plain,
% 0.78/0.85 (((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3418, 3386])).
% 0.78/0.85 tff(3420,plain,
% 0.78/0.85 ((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12)) | trans(s49, s13))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3419])).
% 0.78/0.85 tff(3421,plain,
% 0.78/0.85 ((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3420, 3385])).
% 0.78/0.85 tff(3422,plain,
% 0.78/0.85 (((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13)) | trans(s49, s14))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3421])).
% 0.78/0.85 tff(3423,plain,
% 0.78/0.85 (((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3422, 3384])).
% 0.78/0.85 tff(3424,plain,
% 0.78/0.85 ((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14)) | trans(s49, s15))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3423])).
% 0.78/0.85 tff(3425,plain,
% 0.78/0.85 ((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3424, 3383])).
% 0.78/0.85 tff(3426,plain,
% 0.78/0.85 (((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15)) | trans(s49, s16))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3425])).
% 0.78/0.85 tff(3427,plain,
% 0.78/0.85 (((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16))),
% 0.78/0.85 inference(transitivity,[status(thm)],[3426, 3382])).
% 0.78/0.85 tff(3428,plain,
% 0.78/0.85 ((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16)) | trans(s49, s17))),
% 0.78/0.85 inference(monotonicity,[status(thm)],[3427])).
% 0.78/0.85 tff(3429,plain,
% 0.78/0.85 ((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3428, 3381])).
% 0.78/0.86 tff(3430,plain,
% 0.78/0.86 (((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17)) | trans(s49, s18))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3429])).
% 0.78/0.86 tff(3431,plain,
% 0.78/0.86 (((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3430, 3380])).
% 0.78/0.86 tff(3432,plain,
% 0.78/0.86 ((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18)) | trans(s49, s19))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3431])).
% 0.78/0.86 tff(3433,plain,
% 0.78/0.86 ((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3432, 3379])).
% 0.78/0.86 tff(3434,plain,
% 0.78/0.86 (((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19)) | trans(s49, s20))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3433])).
% 0.78/0.86 tff(3435,plain,
% 0.78/0.86 (((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3434, 3378])).
% 0.78/0.86 tff(3436,plain,
% 0.78/0.86 ((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20)) | trans(s49, s21))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3435])).
% 0.78/0.86 tff(3437,plain,
% 0.78/0.86 ((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3436, 3377])).
% 0.78/0.86 tff(3438,plain,
% 0.78/0.86 (((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21)) | trans(s49, s22))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3437])).
% 0.78/0.86 tff(3439,plain,
% 0.78/0.86 (((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3438, 3376])).
% 0.78/0.86 tff(3440,plain,
% 0.78/0.86 ((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22)) | trans(s49, s23))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3439])).
% 0.78/0.86 tff(3441,plain,
% 0.78/0.86 ((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23))),
% 0.78/0.86 inference(transitivity,[status(thm)],[3440, 3375])).
% 0.78/0.86 tff(3442,plain,
% 0.78/0.86 (((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23)) | trans(s49, s24))),
% 0.78/0.86 inference(monotonicity,[status(thm)],[3441])).
% 0.78/0.86 tff(3443,plain,
% 0.78/0.86 (((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24))),
% 0.78/0.87 inference(transitivity,[status(thm)],[3442, 3374])).
% 0.78/0.87 tff(3444,plain,
% 0.78/0.87 ((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24)) | trans(s49, s25))),
% 0.78/0.87 inference(monotonicity,[status(thm)],[3443])).
% 0.78/0.87 tff(3445,plain,
% 0.78/0.87 ((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25))),
% 0.78/0.87 inference(transitivity,[status(thm)],[3444, 3373])).
% 0.78/0.87 tff(3446,plain,
% 0.78/0.87 (((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25)) | trans(s49, s26))),
% 0.78/0.87 inference(monotonicity,[status(thm)],[3445])).
% 0.78/0.87 tff(3447,plain,
% 0.78/0.87 (((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26))),
% 0.78/0.87 inference(transitivity,[status(thm)],[3446, 3372])).
% 0.78/0.87 tff(3448,plain,
% 0.78/0.87 ((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26)) | trans(s49, s27))),
% 0.78/0.87 inference(monotonicity,[status(thm)],[3447])).
% 0.78/0.87 tff(3449,plain,
% 0.78/0.87 ((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27))),
% 0.78/0.87 inference(transitivity,[status(thm)],[3448, 3371])).
% 0.78/0.87 tff(3450,plain,
% 0.78/0.87 (((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27)) | trans(s49, s28))),
% 0.78/0.87 inference(monotonicity,[status(thm)],[3449])).
% 0.78/0.87 tff(3451,plain,
% 0.78/0.87 (((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28))),
% 0.78/0.87 inference(transitivity,[status(thm)],[3450, 3370])).
% 0.78/0.87 tff(3452,plain,
% 0.78/0.87 ((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28)) | trans(s49, s29))),
% 0.78/0.87 inference(monotonicity,[status(thm)],[3451])).
% 0.78/0.87 tff(3453,plain,
% 0.78/0.87 ((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29))),
% 0.78/0.87 inference(transitivity,[status(thm)],[3452, 3369])).
% 0.78/0.87 tff(3454,plain,
% 0.78/0.87 (((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29)) | trans(s49, s30))),
% 0.78/0.88 inference(monotonicity,[status(thm)],[3453])).
% 0.78/0.88 tff(3455,plain,
% 0.78/0.88 (((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30))),
% 0.78/0.88 inference(transitivity,[status(thm)],[3454, 3368])).
% 0.78/0.88 tff(3456,plain,
% 0.78/0.88 ((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30)) | trans(s49, s31))),
% 0.78/0.88 inference(monotonicity,[status(thm)],[3455])).
% 0.78/0.88 tff(3457,plain,
% 0.78/0.88 ((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31))),
% 0.78/0.88 inference(transitivity,[status(thm)],[3456, 3367])).
% 0.78/0.88 tff(3458,plain,
% 0.78/0.88 (((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31)) | trans(s49, s32))),
% 0.78/0.88 inference(monotonicity,[status(thm)],[3457])).
% 0.78/0.88 tff(3459,plain,
% 0.78/0.88 (((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32))),
% 0.78/0.88 inference(transitivity,[status(thm)],[3458, 3366])).
% 0.78/0.88 tff(3460,plain,
% 0.78/0.88 ((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32)) | trans(s49, s33))),
% 0.78/0.88 inference(monotonicity,[status(thm)],[3459])).
% 0.78/0.88 tff(3461,plain,
% 0.78/0.88 ((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33))),
% 0.78/0.88 inference(transitivity,[status(thm)],[3460, 3365])).
% 0.78/0.88 tff(3462,plain,
% 0.78/0.88 (((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33)) | trans(s49, s34))),
% 0.78/0.88 inference(monotonicity,[status(thm)],[3461])).
% 0.78/0.88 tff(3463,plain,
% 0.78/0.88 (((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34))),
% 0.78/0.89 inference(transitivity,[status(thm)],[3462, 3364])).
% 0.78/0.89 tff(3464,plain,
% 0.78/0.89 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34)) | trans(s49, s35))),
% 0.78/0.89 inference(monotonicity,[status(thm)],[3463])).
% 0.78/0.89 tff(3465,plain,
% 0.78/0.89 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35))),
% 0.78/0.89 inference(transitivity,[status(thm)],[3464, 3363])).
% 0.78/0.89 tff(3466,plain,
% 0.78/0.89 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35)) | trans(s49, s36))),
% 0.78/0.89 inference(monotonicity,[status(thm)],[3465])).
% 0.78/0.89 tff(3467,plain,
% 0.78/0.89 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36))),
% 0.78/0.89 inference(transitivity,[status(thm)],[3466, 3362])).
% 0.78/0.89 tff(3468,plain,
% 0.78/0.89 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36)) | trans(s49, s37))),
% 0.78/0.89 inference(monotonicity,[status(thm)],[3467])).
% 0.78/0.89 tff(3469,plain,
% 0.78/0.89 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37))),
% 0.78/0.89 inference(transitivity,[status(thm)],[3468, 3361])).
% 0.78/0.89 tff(3470,plain,
% 0.78/0.89 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37)) | trans(s49, s38))),
% 0.78/0.89 inference(monotonicity,[status(thm)],[3469])).
% 0.78/0.89 tff(3471,plain,
% 0.78/0.89 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38))),
% 0.84/0.90 inference(transitivity,[status(thm)],[3470, 3360])).
% 0.84/0.90 tff(3472,plain,
% 0.84/0.90 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38)) | trans(s49, s39))),
% 0.84/0.90 inference(monotonicity,[status(thm)],[3471])).
% 0.84/0.90 tff(3473,plain,
% 0.84/0.90 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39))),
% 0.84/0.90 inference(transitivity,[status(thm)],[3472, 3359])).
% 0.84/0.90 tff(3474,plain,
% 0.84/0.90 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39)) | trans(s49, s40))),
% 0.84/0.90 inference(monotonicity,[status(thm)],[3473])).
% 0.84/0.90 tff(3475,plain,
% 0.84/0.90 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40))),
% 0.84/0.90 inference(transitivity,[status(thm)],[3474, 3358])).
% 0.84/0.90 tff(3476,plain,
% 0.84/0.90 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40)) | trans(s49, s41))),
% 0.84/0.90 inference(monotonicity,[status(thm)],[3475])).
% 0.84/0.90 tff(3477,plain,
% 0.84/0.90 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41))),
% 0.84/0.90 inference(transitivity,[status(thm)],[3476, 3357])).
% 0.84/0.90 tff(3478,plain,
% 0.84/0.90 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41)) | trans(s49, s42))),
% 0.84/0.90 inference(monotonicity,[status(thm)],[3477])).
% 0.84/0.90 tff(3479,plain,
% 0.84/0.90 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42))),
% 0.84/0.91 inference(transitivity,[status(thm)],[3478, 3356])).
% 0.84/0.91 tff(3480,plain,
% 0.84/0.91 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42)) | trans(s49, s43))),
% 0.84/0.91 inference(monotonicity,[status(thm)],[3479])).
% 0.84/0.91 tff(3481,plain,
% 0.84/0.91 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43))),
% 0.84/0.91 inference(transitivity,[status(thm)],[3480, 3355])).
% 0.84/0.91 tff(3482,plain,
% 0.84/0.91 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43)) | trans(s49, s44))),
% 0.84/0.91 inference(monotonicity,[status(thm)],[3481])).
% 0.84/0.91 tff(3483,plain,
% 0.84/0.91 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44))),
% 0.84/0.91 inference(transitivity,[status(thm)],[3482, 3354])).
% 0.84/0.91 tff(3484,plain,
% 0.84/0.91 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44)) | trans(s49, s45))),
% 0.84/0.91 inference(monotonicity,[status(thm)],[3483])).
% 0.84/0.91 tff(3485,plain,
% 0.84/0.91 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45))),
% 0.84/0.92 inference(transitivity,[status(thm)],[3484, 3353])).
% 0.84/0.92 tff(3486,plain,
% 0.84/0.92 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45)) | trans(s49, s46))),
% 0.84/0.92 inference(monotonicity,[status(thm)],[3485])).
% 0.84/0.92 tff(3487,plain,
% 0.84/0.92 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46))),
% 0.84/0.92 inference(transitivity,[status(thm)],[3486, 3352])).
% 0.84/0.92 tff(3488,plain,
% 0.84/0.92 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46)) | trans(s49, s47))),
% 0.84/0.92 inference(monotonicity,[status(thm)],[3487])).
% 0.84/0.92 tff(3489,plain,
% 0.84/0.92 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47))),
% 0.84/0.92 inference(transitivity,[status(thm)],[3488, 3351])).
% 0.84/0.92 tff(3490,plain,
% 0.84/0.92 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) | trans(s49, s48)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47)) | trans(s49, s48))),
% 0.84/0.92 inference(monotonicity,[status(thm)],[3489])).
% 0.84/0.92 tff(3491,plain,
% 0.84/0.92 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) | trans(s49, s48)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48))),
% 0.84/0.92 inference(transitivity,[status(thm)],[3490, 3350])).
% 0.84/0.92 tff(3492,plain,
% 0.84/0.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) | trans(s49, s48)) | trans(s49, s49)) <=> (((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48)) | trans(s49, s49))),
% 0.84/0.93 inference(monotonicity,[status(thm)],[3491])).
% 0.84/0.93 tff(3493,plain,
% 0.84/0.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) | trans(s49, s48)) | trans(s49, s49)) <=> ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49))),
% 0.84/0.93 inference(transitivity,[status(thm)],[3492, 3349])).
% 0.84/0.93 tff(3494,axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s49, s0)) | trans(s49, s1)) | trans(s49, s2)) | trans(s49, s3)) | trans(s49, s4)) | trans(s49, s5)) | trans(s49, s6)) | trans(s49, s7)) | trans(s49, s8)) | trans(s49, s9)) | trans(s49, s10)) | trans(s49, s11)) | trans(s49, s12)) | trans(s49, s13)) | trans(s49, s14)) | trans(s49, s15)) | trans(s49, s16)) | trans(s49, s17)) | trans(s49, s18)) | trans(s49, s19)) | trans(s49, s20)) | trans(s49, s21)) | trans(s49, s22)) | trans(s49, s23)) | trans(s49, s24)) | trans(s49, s25)) | trans(s49, s26)) | trans(s49, s27)) | trans(s49, s28)) | trans(s49, s29)) | trans(s49, s30)) | trans(s49, s31)) | trans(s49, s32)) | trans(s49, s33)) | trans(s49, s34)) | trans(s49, s35)) | trans(s49, s36)) | trans(s49, s37)) | trans(s49, s38)) | trans(s49, s39)) | trans(s49, s40)) | trans(s49, s41)) | trans(s49, s42)) | trans(s49, s43)) | trans(s49, s44)) | trans(s49, s45)) | trans(s49, s46)) | trans(s49, s47)) | trans(s49, s48)) | trans(s49, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound52')).
% 0.84/0.93 tff(3495,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3494, 3493])).
% 0.84/0.93 tff(3496,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3495, 3348])).
% 0.84/0.93 tff(3497,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3496, 3348])).
% 0.84/0.93 tff(3498,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3497, 3348])).
% 0.84/0.93 tff(3499,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3498, 3348])).
% 0.84/0.93 tff(3500,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3499, 3348])).
% 0.84/0.93 tff(3501,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3500, 3348])).
% 0.84/0.93 tff(3502,plain,
% 0.84/0.93 ((~loop) | trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3501, 3348])).
% 0.84/0.93 tff(3503,plain,
% 0.84/0.93 (trans(s49, s0) | trans(s49, s1) | trans(s49, s2) | trans(s49, s3) | trans(s49, s4) | trans(s49, s5) | trans(s49, s6) | trans(s49, s7) | trans(s49, s8) | trans(s49, s9) | trans(s49, s10) | trans(s49, s11) | trans(s49, s12) | trans(s49, s13) | trans(s49, s14) | trans(s49, s15) | trans(s49, s16) | trans(s49, s17) | trans(s49, s18) | trans(s49, s19) | trans(s49, s20) | trans(s49, s21) | trans(s49, s22) | trans(s49, s23) | trans(s49, s24) | trans(s49, s25) | trans(s49, s26) | trans(s49, s27) | trans(s49, s28) | trans(s49, s29) | trans(s49, s30) | trans(s49, s31) | trans(s49, s32) | trans(s49, s33) | trans(s49, s34) | trans(s49, s35) | trans(s49, s36) | trans(s49, s37) | trans(s49, s38) | trans(s49, s39) | trans(s49, s40) | trans(s49, s41) | trans(s49, s42) | trans(s49, s43) | trans(s49, s44) | trans(s49, s45) | trans(s49, s46) | trans(s49, s47) | trans(s49, s48) | trans(s49, s49)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3502, 3347])).
% 0.84/0.93 tff(3504,plain,
% 0.84/0.93 (trans(s49, s26)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3503, 2674, 2663, 2652, 2641, 2630, 2619, 2608, 2597, 2586, 2575, 2564, 2553, 2542, 2531, 2520, 2509, 2498, 2487, 2476, 2465, 2454, 2443, 2432, 2421, 2410, 2399, 2358, 2347, 2336, 2325, 2314, 2303, 2292, 2281, 2270, 2259, 2248, 2237, 2187, 2176, 2165, 2154, 2143, 2132, 2121, 2060, 2049, 2038, 2007])).
% 0.84/0.93 tff(3505,plain,
% 0.84/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s26)))),
% 0.84/0.93 inference(rewrite,[status(thm)],[])).
% 0.84/0.93 tff(3506,plain,
% 0.84/0.93 (((~trans(s49, s26)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s26)) <=> (until2p7(s26) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s26)))),
% 0.84/0.93 inference(rewrite,[status(thm)],[])).
% 0.84/0.93 tff(3507,plain,
% 0.84/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s26)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s26))))),
% 0.84/0.93 inference(monotonicity,[status(thm)],[3506])).
% 0.84/0.93 tff(3508,plain,
% 0.84/0.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s26)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s26)))),
% 0.84/0.93 inference(transitivity,[status(thm)],[3507, 3505])).
% 0.84/0.93 tff(3509,plain,
% 0.84/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s49, s26)) | (~last(s49)) | (~xuntil6(s49)) | until2p7(s26))),
% 0.84/0.93 inference(quant_inst,[status(thm)],[])).
% 0.84/0.93 tff(3510,plain,
% 0.84/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s49)) | (~xuntil6(s49)) | (~trans(s49, s26))),
% 0.84/0.93 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 0.84/0.93 tff(3511,plain,
% 0.84/0.93 ($false),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3510, 1488, 3504, 1843, 1833, 1478])).
% 0.84/0.93 tff(3512,plain,(node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s12) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s19) | node4(s20) | node4(s21) | node4(s23) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s39) | node4(s40) | node4(s41) | node4(s42) | node4(s43) | node4(s44) | node4(s45) | node4(s46) | node4(s47) | node4(s48) | (~until5(s49))), inference(lemma,lemma(discharge,[]))).
% 0.84/0.93 tff(3513,plain,
% 0.84/0.93 (node4(s49)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3512, 1264, 583, 1469, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1462, 1461, 1460, 1459, 1458, 585, 578, 1457, 1456, 582, 1455, 579, 1454, 1453, 1452, 1451, 1450, 1449, 1448, 1447, 1446, 577, 1445, 1444, 575, 1260, 1314, 1331, 1345, 1362, 1379, 1396, 1413, 1430, 1443])).
% 0.84/0.93 tff(3514,plain,
% 0.84/0.93 ($false),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2695, 67, 1049, 3513])).
% 0.84/0.93 tff(3515,plain,(always3(s49) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s12) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s19) | node4(s20) | node4(s21) | node4(s23) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s0) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 0.84/0.93 tff(3516,plain,
% 0.84/0.93 (~until5(s39)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3515, 1256, 1049, 1252, 1248, 1244, 1240, 1236, 1232, 1228, 1227, 1226, 1225, 1221, 1217, 1213, 1209, 1205, 1204, 1203, 1199, 1198, 1197, 1193, 1192, 1188, 1184, 1180, 1176, 1172, 1168, 1164, 1160, 1156, 1155, 1112, 1151, 1149])).
% 0.84/0.93 tff(3517,plain,
% 0.84/0.93 (~xuntil6(s38)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2763, 3516])).
% 0.84/0.93 tff(3518,plain,
% 0.84/0.93 (~until5(s38)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2772, 1275, 3517, 1112])).
% 0.84/0.93 tff(3519,plain,
% 0.84/0.93 (~xuntil6(s37)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2778, 3518])).
% 0.84/0.93 tff(3520,assumption,(~always3(s37)), introduced(assumption)).
% 0.84/0.93 tff(3521,plain,
% 0.84/0.93 (~always3(s36)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[266, 3520])).
% 0.84/0.93 tff(3522,plain,
% 0.84/0.93 (~node4(s36)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[254, 67, 3521])).
% 0.84/0.93 tff(3523,plain,
% 0.84/0.93 (~node4(s37)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[1154, 67, 3520])).
% 0.84/0.93 tff(3524,assumption,(~xuntil6(s37)), introduced(assumption)).
% 0.84/0.93 tff(3525,plain,
% 0.84/0.93 (node4(s37) | (~until5(s37))),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2787, 1275, 3524])).
% 0.84/0.93 tff(3526,plain,
% 0.84/0.93 (~until5(s37)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3525, 3523])).
% 0.84/0.93 tff(3527,plain,
% 0.84/0.93 (~xuntil6(s36)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2793, 3526])).
% 0.84/0.93 tff(3528,plain,
% 0.84/0.93 (~until5(s36)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2802, 1275, 3527, 3522])).
% 0.84/0.93 tff(3529,plain,
% 0.84/0.93 (~xuntil6(s35)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2808, 3528])).
% 0.84/0.93 tff(3530,plain,
% 0.84/0.93 (~always3(s35)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[737, 3521])).
% 0.84/0.93 tff(3531,plain,
% 0.84/0.93 (~node4(s35)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[1159, 67, 3530])).
% 0.84/0.93 tff(3532,plain,
% 0.84/0.93 (xuntil6(s35) | (~until5(s35))),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2817, 1275, 3531])).
% 0.84/0.93 tff(3533,plain,
% 0.84/0.93 (~until5(s35)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[3532, 3529])).
% 0.84/0.93 tff(3534,plain,
% 0.84/0.93 (~xuntil6(s34)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2823, 3533])).
% 0.84/0.93 tff(3535,plain,
% 0.84/0.93 (~always3(s34)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[749, 3530])).
% 0.84/0.93 tff(3536,plain,
% 0.84/0.93 (~node4(s34)),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[1680, 67, 3535])).
% 0.84/0.93 tff(3537,plain,
% 0.84/0.93 (xuntil6(s34) | (~until5(s34))),
% 0.84/0.93 inference(unit_resolution,[status(thm)],[2832, 1275, 3536])).
% 0.84/0.94 tff(3538,plain,
% 0.84/0.94 (~until5(s34)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3537, 3534])).
% 0.84/0.94 tff(3539,plain,
% 0.84/0.94 (~xuntil6(s33)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2838, 3538])).
% 0.84/0.94 tff(3540,plain,
% 0.84/0.94 (~always3(s33)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[761, 3535])).
% 0.84/0.94 tff(3541,plain,
% 0.84/0.94 (~node4(s33)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1163, 67, 3540])).
% 0.84/0.94 tff(3542,plain,
% 0.84/0.94 (xuntil6(s33) | (~until5(s33))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2847, 1275, 3541])).
% 0.84/0.94 tff(3543,plain,
% 0.84/0.94 (~until5(s33)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3542, 3539])).
% 0.84/0.94 tff(3544,plain,
% 0.84/0.94 (~xuntil6(s32)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2853, 3543])).
% 0.84/0.94 tff(3545,plain,
% 0.84/0.94 (~always3(s32)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[773, 3540])).
% 0.84/0.94 tff(3546,plain,
% 0.84/0.94 (~node4(s32)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1167, 67, 3545])).
% 0.84/0.94 tff(3547,plain,
% 0.84/0.94 (xuntil6(s32) | (~until5(s32))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2862, 1275, 3546])).
% 0.84/0.94 tff(3548,plain,
% 0.84/0.94 (~until5(s32)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3547, 3544])).
% 0.84/0.94 tff(3549,plain,
% 0.84/0.94 (~xuntil6(s31)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2868, 3548])).
% 0.84/0.94 tff(3550,plain,
% 0.84/0.94 (~always3(s31)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[785, 3545])).
% 0.84/0.94 tff(3551,plain,
% 0.84/0.94 (~node4(s31)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1171, 67, 3550])).
% 0.84/0.94 tff(3552,plain,
% 0.84/0.94 (xuntil6(s31) | (~until5(s31))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2877, 1275, 3551])).
% 0.84/0.94 tff(3553,plain,
% 0.84/0.94 (~until5(s31)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3552, 3549])).
% 0.84/0.94 tff(3554,plain,
% 0.84/0.94 (~xuntil6(s30)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2883, 3553])).
% 0.84/0.94 tff(3555,plain,
% 0.84/0.94 (~always3(s30)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[797, 3550])).
% 0.84/0.94 tff(3556,plain,
% 0.84/0.94 (~node4(s30)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1175, 67, 3555])).
% 0.84/0.94 tff(3557,plain,
% 0.84/0.94 (xuntil6(s30) | (~until5(s30))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2892, 1275, 3556])).
% 0.84/0.94 tff(3558,plain,
% 0.84/0.94 (~until5(s30)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3557, 3554])).
% 0.84/0.94 tff(3559,plain,
% 0.84/0.94 (~always3(s29)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[809, 3555])).
% 0.84/0.94 tff(3560,plain,
% 0.84/0.94 (~always3(s28)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[821, 3559])).
% 0.84/0.94 tff(3561,plain,
% 0.84/0.94 (~always3(s27)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[833, 3560])).
% 0.84/0.94 tff(3562,plain,
% 0.84/0.94 (~always3(s26)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[845, 3561])).
% 0.84/0.94 tff(3563,plain,
% 0.84/0.94 (~always3(s25)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[857, 3562])).
% 0.84/0.94 tff(3564,plain,
% 0.84/0.94 (~always3(s24)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[502, 3563])).
% 0.84/0.94 tff(3565,plain,
% 0.84/0.94 (~always3(s23)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[870, 3564])).
% 0.84/0.94 tff(3566,plain,
% 0.84/0.94 (~node4(s23)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1196, 67, 3565])).
% 0.84/0.94 tff(3567,plain,
% 0.84/0.94 (~always3(s22)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[882, 3565])).
% 0.84/0.94 tff(3568,plain,
% 0.84/0.94 (~node4(s22)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1886, 67, 3567])).
% 0.84/0.94 tff(3569,assumption,(until5(s22)), introduced(assumption)).
% 0.84/0.94 tff(3570,plain,
% 0.84/0.94 (xuntil6(s22) | node4(s22)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3311, 1275, 3569])).
% 0.84/0.94 tff(3571,plain,
% 0.84/0.94 (xuntil6(s22)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3570, 3568])).
% 0.84/0.94 tff(3572,plain,
% 0.84/0.94 (until5(s23)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3317, 3571])).
% 0.84/0.94 tff(3573,plain,
% 0.84/0.94 (xuntil6(s23)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3325, 1275, 3572, 3566])).
% 0.84/0.94 tff(3574,plain,
% 0.84/0.94 (until5(s24)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3331, 3573])).
% 0.84/0.94 tff(3575,plain,
% 0.84/0.94 (~node4(s24)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[490, 67, 3564])).
% 0.84/0.94 tff(3576,plain,
% 0.84/0.94 (xuntil6(s24) | (~until5(s24))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3339, 1275, 3575])).
% 0.84/0.94 tff(3577,plain,
% 0.84/0.94 (xuntil6(s24)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3576, 3574])).
% 0.84/0.94 tff(3578,plain,
% 0.84/0.94 (until5(s25)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3345, 3577])).
% 0.84/0.94 tff(3579,plain,
% 0.84/0.94 (~node4(s25)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1191, 67, 3563])).
% 0.84/0.94 tff(3580,plain,
% 0.84/0.94 (xuntil6(s25) | (~until5(s25))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2967, 1275, 3579])).
% 0.84/0.94 tff(3581,plain,
% 0.84/0.94 (xuntil6(s25)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3580, 3578])).
% 0.84/0.94 tff(3582,plain,
% 0.84/0.94 (until5(s26)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2958, 3581])).
% 0.84/0.94 tff(3583,plain,
% 0.84/0.94 (~node4(s26)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1187, 67, 3562])).
% 0.84/0.94 tff(3584,plain,
% 0.84/0.94 (xuntil6(s26) | (~until5(s26))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2952, 1275, 3583])).
% 0.84/0.94 tff(3585,plain,
% 0.84/0.94 (xuntil6(s26)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3584, 3582])).
% 0.84/0.94 tff(3586,plain,
% 0.84/0.94 (until5(s27)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2943, 3585])).
% 0.84/0.94 tff(3587,plain,
% 0.84/0.94 (~node4(s27)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1788, 67, 3561])).
% 0.84/0.94 tff(3588,plain,
% 0.84/0.94 (xuntil6(s27) | (~until5(s27))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2937, 1275, 3587])).
% 0.84/0.94 tff(3589,plain,
% 0.84/0.94 (xuntil6(s27)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3588, 3586])).
% 0.84/0.94 tff(3590,plain,
% 0.84/0.94 (until5(s28)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2928, 3589])).
% 0.84/0.94 tff(3591,plain,
% 0.84/0.94 (~node4(s28)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1183, 67, 3560])).
% 0.84/0.94 tff(3592,plain,
% 0.84/0.94 (xuntil6(s28) | (~until5(s28))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2922, 1275, 3591])).
% 0.84/0.94 tff(3593,plain,
% 0.84/0.94 (xuntil6(s28)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3592, 3590])).
% 0.84/0.94 tff(3594,plain,
% 0.84/0.94 (until5(s29)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2913, 3593])).
% 0.84/0.94 tff(3595,plain,
% 0.84/0.94 (~node4(s29)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[1179, 67, 3559])).
% 0.84/0.94 tff(3596,plain,
% 0.84/0.94 (xuntil6(s29) | (~until5(s29))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2907, 1275, 3595])).
% 0.84/0.94 tff(3597,plain,
% 0.84/0.94 (xuntil6(s29)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3596, 3594])).
% 0.84/0.94 tff(3598,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[2898, 3597, 3558])).
% 0.84/0.94 tff(3599,plain,(always3(s37) | (~until5(s22)) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3600,plain,
% 0.84/0.94 (~until5(s22)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3599, 3519, 1108])).
% 0.84/0.94 tff(3601,plain,
% 0.84/0.94 (~xuntil6(s21)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3303, 3600])).
% 0.84/0.94 tff(3602,plain,
% 0.84/0.94 (xuntil6(s21) | (~until5(s21))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3297, 1275, 1198])).
% 0.84/0.94 tff(3603,plain,
% 0.84/0.94 (~until5(s21)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3602, 3601])).
% 0.84/0.94 tff(3604,plain,
% 0.84/0.94 (~xuntil6(s20)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3289, 3603])).
% 0.84/0.94 tff(3605,plain,
% 0.84/0.94 (xuntil6(s20) | (~until5(s20))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3283, 1275, 1199])).
% 0.84/0.94 tff(3606,plain,
% 0.84/0.94 (~until5(s20)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3605, 3604])).
% 0.84/0.94 tff(3607,plain,
% 0.84/0.94 (~xuntil6(s19)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3275, 3606])).
% 0.84/0.94 tff(3608,plain,
% 0.84/0.94 (xuntil6(s19) | (~until5(s19))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3269, 1275, 1203])).
% 0.84/0.94 tff(3609,plain,
% 0.84/0.94 (~until5(s19)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3608, 3607])).
% 0.84/0.94 tff(3610,plain,
% 0.84/0.94 (~xuntil6(s18)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3261, 3609])).
% 0.84/0.94 tff(3611,plain,
% 0.84/0.94 (xuntil6(s18) | (~until5(s18))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3255, 1275, 1204])).
% 0.84/0.94 tff(3612,plain,
% 0.84/0.94 (~until5(s18)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3611, 3610])).
% 0.84/0.94 tff(3613,plain,
% 0.84/0.94 (~xuntil6(s17)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3247, 3612])).
% 0.84/0.94 tff(3614,plain,
% 0.84/0.94 (xuntil6(s17) | (~until5(s17))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3241, 1275, 1205])).
% 0.84/0.94 tff(3615,plain,
% 0.84/0.94 (~until5(s17)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3614, 3613])).
% 0.84/0.94 tff(3616,plain,
% 0.84/0.94 (~xuntil6(s16)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3233, 3615])).
% 0.84/0.94 tff(3617,plain,
% 0.84/0.94 (xuntil6(s16) | (~until5(s16))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3227, 1275, 1209])).
% 0.84/0.94 tff(3618,plain,
% 0.84/0.94 (~until5(s16)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3617, 3616])).
% 0.84/0.94 tff(3619,plain,
% 0.84/0.94 (~xuntil6(s15)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3219, 3618])).
% 0.84/0.94 tff(3620,plain,
% 0.84/0.94 (xuntil6(s15) | (~until5(s15))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3213, 1275, 1213])).
% 0.84/0.94 tff(3621,plain,
% 0.84/0.94 (~until5(s15)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3620, 3619])).
% 0.84/0.94 tff(3622,plain,
% 0.84/0.94 (~xuntil6(s14)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3205, 3621])).
% 0.84/0.94 tff(3623,plain,
% 0.84/0.94 (xuntil6(s14) | (~until5(s14))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3199, 1275, 1217])).
% 0.84/0.94 tff(3624,plain,
% 0.84/0.94 (~until5(s14)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3623, 3622])).
% 0.84/0.94 tff(3625,plain,
% 0.84/0.94 (~xuntil6(s13)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3191, 3624])).
% 0.84/0.94 tff(3626,plain,
% 0.84/0.94 (xuntil6(s13) | (~until5(s13))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3185, 1275, 1221])).
% 0.84/0.94 tff(3627,plain,
% 0.84/0.94 (~until5(s13)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3626, 3625])).
% 0.84/0.94 tff(3628,plain,
% 0.84/0.94 (~xuntil6(s12)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3177, 3627])).
% 0.84/0.94 tff(3629,plain,
% 0.84/0.94 (xuntil6(s0)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3006, 1151])).
% 0.84/0.94 tff(3630,plain,
% 0.84/0.94 (until5(s1)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3011, 3629])).
% 0.84/0.94 tff(3631,plain,
% 0.84/0.94 (xuntil6(s1)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3018, 1275, 3630, 1149])).
% 0.84/0.94 tff(3632,plain,
% 0.84/0.94 (until5(s2)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3023, 3631])).
% 0.84/0.94 tff(3633,plain,
% 0.84/0.94 (xuntil6(s2) | (~until5(s2))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3031, 1275, 1256])).
% 0.84/0.94 tff(3634,plain,
% 0.84/0.94 (xuntil6(s2)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3633, 3632])).
% 0.84/0.94 tff(3635,plain,
% 0.84/0.94 (until5(s3)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3037, 3634])).
% 0.84/0.94 tff(3636,plain,
% 0.84/0.94 (xuntil6(s3) | (~until5(s3))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3045, 1275, 1252])).
% 0.84/0.94 tff(3637,plain,
% 0.84/0.94 (xuntil6(s3)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3636, 3635])).
% 0.84/0.94 tff(3638,plain,
% 0.84/0.94 (until5(s4)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3051, 3637])).
% 0.84/0.94 tff(3639,plain,
% 0.84/0.94 (xuntil6(s4) | (~until5(s4))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3059, 1275, 1248])).
% 0.84/0.94 tff(3640,plain,
% 0.84/0.94 (xuntil6(s4)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3639, 3638])).
% 0.84/0.94 tff(3641,plain,
% 0.84/0.94 (until5(s5)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3065, 3640])).
% 0.84/0.94 tff(3642,plain,
% 0.84/0.94 (xuntil6(s5) | (~until5(s5))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3073, 1275, 1244])).
% 0.84/0.94 tff(3643,plain,
% 0.84/0.94 (xuntil6(s5)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3642, 3641])).
% 0.84/0.94 tff(3644,plain,
% 0.84/0.94 (until5(s6)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3079, 3643])).
% 0.84/0.94 tff(3645,plain,
% 0.84/0.94 (xuntil6(s6) | (~until5(s6))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3087, 1275, 1240])).
% 0.84/0.94 tff(3646,plain,
% 0.84/0.94 (xuntil6(s6)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3645, 3644])).
% 0.84/0.94 tff(3647,plain,
% 0.84/0.94 (until5(s7)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3093, 3646])).
% 0.84/0.94 tff(3648,plain,
% 0.84/0.94 (xuntil6(s7) | (~until5(s7))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3101, 1275, 1236])).
% 0.84/0.94 tff(3649,plain,
% 0.84/0.94 (xuntil6(s7)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3648, 3647])).
% 0.84/0.94 tff(3650,plain,
% 0.84/0.94 (until5(s8)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3107, 3649])).
% 0.84/0.94 tff(3651,plain,
% 0.84/0.94 (xuntil6(s8) | (~until5(s8))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3115, 1275, 1232])).
% 0.84/0.94 tff(3652,plain,
% 0.84/0.94 (xuntil6(s8)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3651, 3650])).
% 0.84/0.94 tff(3653,plain,
% 0.84/0.94 (until5(s9)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3121, 3652])).
% 0.84/0.94 tff(3654,plain,
% 0.84/0.94 (xuntil6(s9) | (~until5(s9))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3129, 1275, 1228])).
% 0.84/0.94 tff(3655,plain,
% 0.84/0.94 (xuntil6(s9)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3654, 3653])).
% 0.84/0.94 tff(3656,plain,
% 0.84/0.94 (until5(s10)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3135, 3655])).
% 0.84/0.94 tff(3657,plain,
% 0.84/0.94 (xuntil6(s10) | (~until5(s10))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3143, 1275, 1227])).
% 0.84/0.94 tff(3658,plain,
% 0.84/0.94 (xuntil6(s10)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3657, 3656])).
% 0.84/0.94 tff(3659,plain,
% 0.84/0.94 (until5(s11)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3149, 3658])).
% 0.84/0.94 tff(3660,plain,
% 0.84/0.94 (xuntil6(s11) | (~until5(s11))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3157, 1275, 1226])).
% 0.84/0.94 tff(3661,plain,
% 0.84/0.94 (xuntil6(s11)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3660, 3659])).
% 0.84/0.94 tff(3662,plain,
% 0.84/0.94 (until5(s12)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3163, 3661])).
% 0.84/0.94 tff(3663,plain,
% 0.84/0.94 (xuntil6(s12) | (~until5(s12))),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3171, 1275, 1225])).
% 0.84/0.94 tff(3664,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3663, 3662, 3628])).
% 0.84/0.94 tff(3665,plain,(always3(s49)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3666,assumption,(~always3(s0)), introduced(assumption)).
% 0.84/0.94 tff(3667,assumption,(always3(s49)), introduced(assumption)).
% 0.84/0.94 tff(3668,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s0) | (~trans(s49, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s0) | (~trans(s49, s0)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3669,plain,
% 0.84/0.94 (((~trans(s49, s0)) | (~always3(s49)) | always3(s0)) <=> ((~always3(s49)) | always3(s0) | (~trans(s49, s0)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3670,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s0)) | (~always3(s49)) | always3(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s0) | (~trans(s49, s0))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3669])).
% 0.84/0.94 tff(3671,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s0)) | (~always3(s49)) | always3(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s0) | (~trans(s49, s0)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3670, 3668])).
% 0.84/0.94 tff(3672,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s0)) | (~always3(s49)) | always3(s0))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3673,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s0) | (~trans(s49, s0))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3672, 3671])).
% 0.84/0.94 tff(3674,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3673, 2390, 81, 3667, 3666])).
% 0.84/0.94 tff(3675,plain,((~trans(s49, s0)) | (~always3(s49)) | always3(s0)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3676,plain,
% 0.84/0.94 ((~trans(s49, s0)) | always3(s0)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3675, 3665])).
% 0.84/0.94 tff(3677,plain,
% 0.84/0.94 (~trans(s49, s0)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3676, 1048])).
% 0.84/0.94 tff(3678,assumption,(~always3(s10)), introduced(assumption)).
% 0.84/0.94 tff(3679,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s10) | (~trans(s49, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s10) | (~trans(s49, s10)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3680,plain,
% 0.84/0.94 (((~trans(s49, s10)) | (~always3(s49)) | always3(s10)) <=> ((~always3(s49)) | always3(s10) | (~trans(s49, s10)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3681,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s10)) | (~always3(s49)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s10) | (~trans(s49, s10))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3680])).
% 0.84/0.94 tff(3682,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s10)) | (~always3(s49)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s10) | (~trans(s49, s10)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3681, 3679])).
% 0.84/0.94 tff(3683,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s10)) | (~always3(s49)) | always3(s10))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3684,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s10) | (~trans(s49, s10))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 0.84/0.94 tff(3685,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3684, 2654, 81, 3667, 3678])).
% 0.84/0.94 tff(3686,plain,((~trans(s49, s10)) | (~always3(s49)) | always3(s10)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3687,plain,
% 0.84/0.94 ((~trans(s49, s10)) | always3(s10)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3686, 3665])).
% 0.84/0.94 tff(3688,plain,
% 0.84/0.94 (~trans(s49, s10)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3687, 961])).
% 0.84/0.94 tff(3689,assumption,(~always3(s8)), introduced(assumption)).
% 0.84/0.94 tff(3690,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s8) | (~trans(s49, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s8) | (~trans(s49, s8)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3691,plain,
% 0.84/0.94 (((~trans(s49, s8)) | (~always3(s49)) | always3(s8)) <=> ((~always3(s49)) | always3(s8) | (~trans(s49, s8)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3692,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s8)) | (~always3(s49)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s8) | (~trans(s49, s8))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3691])).
% 0.84/0.94 tff(3693,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s8)) | (~always3(s49)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s8) | (~trans(s49, s8)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3692, 3690])).
% 0.84/0.94 tff(3694,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s8)) | (~always3(s49)) | always3(s8))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3695,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s8) | (~trans(s49, s8))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 0.84/0.94 tff(3696,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3695, 2665, 81, 3665, 3689])).
% 0.84/0.94 tff(3697,plain,((~trans(s49, s8)) | always3(s8)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3698,plain,
% 0.84/0.94 (~trans(s49, s8)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3697, 974])).
% 0.84/0.94 tff(3699,assumption,(~always3(s14)), introduced(assumption)).
% 0.84/0.94 tff(3700,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s14) | (~trans(s49, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s14) | (~trans(s49, s14)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3701,plain,
% 0.84/0.94 (((~trans(s49, s14)) | (~always3(s49)) | always3(s14)) <=> ((~always3(s49)) | always3(s14) | (~trans(s49, s14)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3702,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s14)) | (~always3(s49)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s14) | (~trans(s49, s14))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3701])).
% 0.84/0.94 tff(3703,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s14)) | (~always3(s49)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s14) | (~trans(s49, s14)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3702, 3700])).
% 0.84/0.94 tff(3704,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s14)) | (~always3(s49)) | always3(s14))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3705,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s14) | (~trans(s49, s14))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 0.84/0.94 tff(3706,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3705, 1998, 81, 3665, 3699])).
% 0.84/0.94 tff(3707,plain,((~trans(s49, s14)) | always3(s14)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3708,plain,
% 0.84/0.94 (~trans(s49, s14)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3707, 935])).
% 0.84/0.94 tff(3709,assumption,(~always3(s12)), introduced(assumption)).
% 0.84/0.94 tff(3710,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s12) | (~trans(s49, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s12) | (~trans(s49, s12)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3711,plain,
% 0.84/0.94 (((~trans(s49, s12)) | (~always3(s49)) | always3(s12)) <=> ((~always3(s49)) | always3(s12) | (~trans(s49, s12)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3712,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s12)) | (~always3(s49)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s12) | (~trans(s49, s12))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3711])).
% 0.84/0.94 tff(3713,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s12)) | (~always3(s49)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s12) | (~trans(s49, s12)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3712, 3710])).
% 0.84/0.94 tff(3714,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s12)) | (~always3(s49)) | always3(s12))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3715,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s12) | (~trans(s49, s12))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 0.84/0.94 tff(3716,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3715, 2029, 81, 3665, 3709])).
% 0.84/0.94 tff(3717,plain,((~trans(s49, s12)) | always3(s12)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3718,plain,
% 0.84/0.94 (~trans(s49, s12)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3717, 959])).
% 0.84/0.94 tff(3719,assumption,(~always3(s16)), introduced(assumption)).
% 0.84/0.94 tff(3720,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s16) | (~trans(s49, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s16) | (~trans(s49, s16)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3721,plain,
% 0.84/0.94 (((~trans(s49, s16)) | (~always3(s49)) | always3(s16)) <=> ((~always3(s49)) | always3(s16) | (~trans(s49, s16)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3722,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s16)) | (~always3(s49)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s16) | (~trans(s49, s16))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3721])).
% 0.84/0.94 tff(3723,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s16)) | (~always3(s49)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s16) | (~trans(s49, s16)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3722, 3720])).
% 0.84/0.94 tff(3724,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s16)) | (~always3(s49)) | always3(s16))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3725,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s16) | (~trans(s49, s16))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 0.84/0.94 tff(3726,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3725, 2051, 81, 3665, 3719])).
% 0.84/0.94 tff(3727,plain,((~trans(s49, s16)) | always3(s16)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3728,plain,
% 0.84/0.94 (~trans(s49, s16)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3727, 911])).
% 0.84/0.94 tff(3729,assumption,(~always3(s7)), introduced(assumption)).
% 0.84/0.94 tff(3730,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s7) | (~trans(s49, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s7) | (~trans(s49, s7)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3731,plain,
% 0.84/0.94 (((~trans(s49, s7)) | (~always3(s49)) | always3(s7)) <=> ((~always3(s49)) | always3(s7) | (~trans(s49, s7)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3732,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s7)) | (~always3(s49)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s7) | (~trans(s49, s7))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3731])).
% 0.84/0.94 tff(3733,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s7)) | (~always3(s49)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s7) | (~trans(s49, s7)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3732, 3730])).
% 0.84/0.94 tff(3734,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s7)) | (~always3(s49)) | always3(s7))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3735,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s7) | (~trans(s49, s7))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3734, 3733])).
% 0.84/0.94 tff(3736,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3735, 2112, 81, 3665, 3729])).
% 0.84/0.94 tff(3737,plain,((~trans(s49, s7)) | always3(s7)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3738,plain,
% 0.84/0.94 (~trans(s49, s7)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3737, 986])).
% 0.84/0.94 tff(3739,assumption,(~always3(s3)), introduced(assumption)).
% 0.84/0.94 tff(3740,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s3) | (~trans(s49, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s3) | (~trans(s49, s3)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3741,plain,
% 0.84/0.94 (((~trans(s49, s3)) | (~always3(s49)) | always3(s3)) <=> ((~always3(s49)) | always3(s3) | (~trans(s49, s3)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3742,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s3)) | (~always3(s49)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s3) | (~trans(s49, s3))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3741])).
% 0.84/0.94 tff(3743,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s3)) | (~always3(s49)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s3) | (~trans(s49, s3)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3742, 3740])).
% 0.84/0.94 tff(3744,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s3)) | (~always3(s49)) | always3(s3))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3745,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s3) | (~trans(s49, s3))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3744, 3743])).
% 0.84/0.94 tff(3746,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3745, 8, 81, 3665, 3739])).
% 0.84/0.94 tff(3747,plain,((~trans(s49, s3)) | always3(s3)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3748,plain,
% 0.84/0.94 (~trans(s49, s3)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3747, 1034])).
% 0.84/0.94 tff(3749,assumption,(~always3(s1)), introduced(assumption)).
% 0.84/0.94 tff(3750,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s1) | (~trans(s49, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s1) | (~trans(s49, s1)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3751,plain,
% 0.84/0.94 (((~trans(s49, s1)) | (~always3(s49)) | always3(s1)) <=> ((~always3(s49)) | always3(s1) | (~trans(s49, s1)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3752,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s1)) | (~always3(s49)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s1) | (~trans(s49, s1))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3751])).
% 0.84/0.94 tff(3753,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s1)) | (~always3(s49)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s1) | (~trans(s49, s1)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3752, 3750])).
% 0.84/0.94 tff(3754,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s1)) | (~always3(s49)) | always3(s1))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3755,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s1) | (~trans(s49, s1))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 0.84/0.94 tff(3756,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3755, 2588, 81, 3667, 3749])).
% 0.84/0.94 tff(3757,plain,((~trans(s49, s1)) | (~always3(s49)) | always3(s1)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3758,plain,
% 0.84/0.94 ((~trans(s49, s1)) | always3(s1)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3757, 3665])).
% 0.84/0.94 tff(3759,plain,
% 0.84/0.94 (~trans(s49, s1)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3758, 1047])).
% 0.84/0.94 tff(3760,assumption,(~always3(s11)), introduced(assumption)).
% 0.84/0.94 tff(3761,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s11) | (~trans(s49, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s11) | (~trans(s49, s11)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3762,plain,
% 0.84/0.94 (((~trans(s49, s11)) | (~always3(s49)) | always3(s11)) <=> ((~always3(s49)) | always3(s11) | (~trans(s49, s11)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3763,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s11)) | (~always3(s49)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s11) | (~trans(s49, s11))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3762])).
% 0.84/0.94 tff(3764,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s11)) | (~always3(s49)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s11) | (~trans(s49, s11)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3763, 3761])).
% 0.84/0.94 tff(3765,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s11)) | (~always3(s49)) | always3(s11))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3766,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s11) | (~trans(s49, s11))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 0.84/0.94 tff(3767,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3766, 2272, 81, 3667, 3760])).
% 0.84/0.94 tff(3768,plain,((~trans(s49, s11)) | (~always3(s49)) | always3(s11)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3769,plain,
% 0.84/0.94 ((~trans(s49, s11)) | always3(s11)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3768, 3665])).
% 0.84/0.94 tff(3770,plain,
% 0.84/0.94 (~trans(s49, s11)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3769, 960])).
% 0.84/0.94 tff(3771,assumption,(~always3(s6)), introduced(assumption)).
% 0.84/0.94 tff(3772,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s6) | (~trans(s49, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s6) | (~trans(s49, s6)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3773,plain,
% 0.84/0.94 (((~trans(s49, s6)) | (~always3(s49)) | always3(s6)) <=> ((~always3(s49)) | always3(s6) | (~trans(s49, s6)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3774,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s6)) | (~always3(s49)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s6) | (~trans(s49, s6))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3773])).
% 0.84/0.94 tff(3775,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s6)) | (~always3(s49)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s6) | (~trans(s49, s6)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3774, 3772])).
% 0.84/0.94 tff(3776,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s6)) | (~always3(s49)) | always3(s6))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3777,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s6) | (~trans(s49, s6))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3776, 3775])).
% 0.84/0.94 tff(3778,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3777, 2283, 81, 3667, 3771])).
% 0.84/0.94 tff(3779,plain,((~trans(s49, s6)) | (~always3(s49)) | always3(s6)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3780,plain,
% 0.84/0.94 ((~trans(s49, s6)) | always3(s6)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3779, 3665])).
% 0.84/0.94 tff(3781,plain,
% 0.84/0.94 (~trans(s49, s6)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3780, 998])).
% 0.84/0.94 tff(3782,assumption,(~always3(s9)), introduced(assumption)).
% 0.84/0.94 tff(3783,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s9) | (~trans(s49, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s9) | (~trans(s49, s9)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3784,plain,
% 0.84/0.94 (((~trans(s49, s9)) | (~always3(s49)) | always3(s9)) <=> ((~always3(s49)) | always3(s9) | (~trans(s49, s9)))),
% 0.84/0.94 inference(rewrite,[status(thm)],[])).
% 0.84/0.94 tff(3785,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s9)) | (~always3(s49)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s9) | (~trans(s49, s9))))),
% 0.84/0.94 inference(monotonicity,[status(thm)],[3784])).
% 0.84/0.94 tff(3786,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s9)) | (~always3(s49)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s9) | (~trans(s49, s9)))),
% 0.84/0.94 inference(transitivity,[status(thm)],[3785, 3783])).
% 0.84/0.94 tff(3787,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s9)) | (~always3(s49)) | always3(s9))),
% 0.84/0.94 inference(quant_inst,[status(thm)],[])).
% 0.84/0.94 tff(3788,plain,
% 0.84/0.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s9) | (~trans(s49, s9))),
% 0.84/0.94 inference(modus_ponens,[status(thm)],[3787, 3786])).
% 0.84/0.94 tff(3789,plain,
% 0.84/0.94 ($false),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3788, 2316, 81, 3667, 3782])).
% 0.84/0.94 tff(3790,plain,((~trans(s49, s9)) | (~always3(s49)) | always3(s9)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.94 tff(3791,plain,
% 0.84/0.94 ((~trans(s49, s9)) | always3(s9)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3790, 3665])).
% 0.84/0.94 tff(3792,plain,
% 0.84/0.94 (~trans(s49, s9)),
% 0.84/0.94 inference(unit_resolution,[status(thm)],[3791, 962])).
% 0.84/0.94 tff(3793,assumption,(~always3(s2)), introduced(assumption)).
% 0.84/0.94 tff(3794,plain,
% 0.84/0.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s2) | (~trans(s49, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s2) | (~trans(s49, s2)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3795,plain,
% 0.84/0.95 (((~trans(s49, s2)) | (~always3(s49)) | always3(s2)) <=> ((~always3(s49)) | always3(s2) | (~trans(s49, s2)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3796,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s2)) | (~always3(s49)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s2) | (~trans(s49, s2))))),
% 0.84/0.95 inference(monotonicity,[status(thm)],[3795])).
% 0.84/0.95 tff(3797,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s2)) | (~always3(s49)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s2) | (~trans(s49, s2)))),
% 0.84/0.95 inference(transitivity,[status(thm)],[3796, 3794])).
% 0.84/0.95 tff(3798,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s2)) | (~always3(s49)) | always3(s2))),
% 0.84/0.95 inference(quant_inst,[status(thm)],[])).
% 0.84/0.95 tff(3799,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s2) | (~trans(s49, s2))),
% 0.84/0.95 inference(modus_ponens,[status(thm)],[3798, 3797])).
% 0.84/0.95 tff(3800,plain,
% 0.84/0.95 ($false),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3799, 2544, 81, 3667, 3793])).
% 0.84/0.95 tff(3801,plain,((~trans(s49, s2)) | (~always3(s49)) | always3(s2)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.95 tff(3802,plain,
% 0.84/0.95 ((~trans(s49, s2)) | always3(s2)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3801, 3665])).
% 0.84/0.95 tff(3803,plain,
% 0.84/0.95 (~trans(s49, s2)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3802, 1046])).
% 0.84/0.95 tff(3804,plain,
% 0.84/0.95 (~node4(s2)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1255, 67, 1046])).
% 0.84/0.95 tff(3805,assumption,(~always3(s4)), introduced(assumption)).
% 0.84/0.95 tff(3806,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s4) | (~trans(s49, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s4) | (~trans(s49, s4)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3807,plain,
% 0.84/0.95 (((~trans(s49, s4)) | (~always3(s49)) | always3(s4)) <=> ((~always3(s49)) | always3(s4) | (~trans(s49, s4)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3808,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s4)) | (~always3(s49)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s4) | (~trans(s49, s4))))),
% 0.84/0.95 inference(monotonicity,[status(thm)],[3807])).
% 0.84/0.95 tff(3809,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s4)) | (~always3(s49)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s4) | (~trans(s49, s4)))),
% 0.84/0.95 inference(transitivity,[status(thm)],[3808, 3806])).
% 0.84/0.95 tff(3810,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s4)) | (~always3(s49)) | always3(s4))),
% 0.84/0.95 inference(quant_inst,[status(thm)],[])).
% 0.84/0.95 tff(3811,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s4) | (~trans(s49, s4))),
% 0.84/0.95 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 0.84/0.95 tff(3812,plain,
% 0.84/0.95 ($false),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3811, 2412, 81, 3667, 3805])).
% 0.84/0.95 tff(3813,plain,((~trans(s49, s4)) | (~always3(s49)) | always3(s4)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.95 tff(3814,plain,
% 0.84/0.95 ((~trans(s49, s4)) | always3(s4)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3813, 3665])).
% 0.84/0.95 tff(3815,plain,
% 0.84/0.95 (~trans(s49, s4)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3814, 1022])).
% 0.84/0.95 tff(3816,assumption,(~always3(s5)), introduced(assumption)).
% 0.84/0.95 tff(3817,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s5) | (~trans(s49, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s5) | (~trans(s49, s5)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3818,plain,
% 0.84/0.95 (((~trans(s49, s5)) | (~always3(s49)) | always3(s5)) <=> ((~always3(s49)) | always3(s5) | (~trans(s49, s5)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3819,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s5)) | (~always3(s49)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s5) | (~trans(s49, s5))))),
% 0.84/0.95 inference(monotonicity,[status(thm)],[3818])).
% 0.84/0.95 tff(3820,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s5)) | (~always3(s49)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s5) | (~trans(s49, s5)))),
% 0.84/0.95 inference(transitivity,[status(thm)],[3819, 3817])).
% 0.84/0.95 tff(3821,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s5)) | (~always3(s49)) | always3(s5))),
% 0.84/0.95 inference(quant_inst,[status(thm)],[])).
% 0.84/0.95 tff(3822,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s5) | (~trans(s49, s5))),
% 0.84/0.95 inference(modus_ponens,[status(thm)],[3821, 3820])).
% 0.84/0.95 tff(3823,plain,
% 0.84/0.95 ($false),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3822, 2566, 81, 3667, 3816])).
% 0.84/0.95 tff(3824,plain,((~trans(s49, s5)) | (~always3(s49)) | always3(s5)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.95 tff(3825,plain,
% 0.84/0.95 ((~trans(s49, s5)) | always3(s5)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3824, 3665])).
% 0.84/0.95 tff(3826,plain,
% 0.84/0.95 (~trans(s49, s5)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3825, 1010])).
% 0.84/0.95 tff(3827,assumption,(~always3(s13)), introduced(assumption)).
% 0.84/0.95 tff(3828,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s13) | (~trans(s49, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s13) | (~trans(s49, s13)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3829,plain,
% 0.84/0.95 (((~trans(s49, s13)) | (~always3(s49)) | always3(s13)) <=> ((~always3(s49)) | always3(s13) | (~trans(s49, s13)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3830,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s13)) | (~always3(s49)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s13) | (~trans(s49, s13))))),
% 0.84/0.95 inference(monotonicity,[status(thm)],[3829])).
% 0.84/0.95 tff(3831,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s13)) | (~always3(s49)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s13) | (~trans(s49, s13)))),
% 0.84/0.95 inference(transitivity,[status(thm)],[3830, 3828])).
% 0.84/0.95 tff(3832,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s13)) | (~always3(s49)) | always3(s13))),
% 0.84/0.95 inference(quant_inst,[status(thm)],[])).
% 0.84/0.95 tff(3833,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s13) | (~trans(s49, s13))),
% 0.84/0.95 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 0.84/0.95 tff(3834,plain,
% 0.84/0.95 ($false),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3833, 2555, 81, 3667, 3827])).
% 0.84/0.95 tff(3835,plain,((~trans(s49, s13)) | (~always3(s49)) | always3(s13)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.95 tff(3836,plain,
% 0.84/0.95 ((~trans(s49, s13)) | always3(s13)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3835, 3665])).
% 0.84/0.95 tff(3837,plain,
% 0.84/0.95 (~trans(s49, s13)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3836, 947])).
% 0.84/0.95 tff(3838,plain,
% 0.84/0.95 (~node4(s0)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[70, 67, 1048])).
% 0.84/0.95 tff(3839,plain,
% 0.84/0.95 (~node4(s1)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[211, 67, 1047])).
% 0.84/0.95 tff(3840,plain,
% 0.84/0.95 (~node4(s20)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[539, 67, 885])).
% 0.84/0.95 tff(3841,plain,
% 0.84/0.95 (~node4(s18)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[447, 67, 898])).
% 0.84/0.95 tff(3842,plain,
% 0.84/0.95 (~node4(s17)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[299, 67, 899])).
% 0.84/0.95 tff(3843,plain,
% 0.84/0.95 (~node4(s16)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1208, 67, 911])).
% 0.84/0.95 tff(3844,plain,
% 0.84/0.95 (~node4(s15)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1212, 67, 923])).
% 0.84/0.95 tff(3845,plain,
% 0.84/0.95 (~node4(s14)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1216, 67, 935])).
% 0.84/0.95 tff(3846,plain,
% 0.84/0.95 (~node4(s13)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1220, 67, 947])).
% 0.84/0.95 tff(3847,plain,
% 0.84/0.95 (~node4(s11)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[404, 67, 960])).
% 0.84/0.95 tff(3848,plain,
% 0.84/0.95 (~node4(s10)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[109, 67, 961])).
% 0.84/0.95 tff(3849,plain,
% 0.84/0.95 (~node4(s9)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[168, 67, 962])).
% 0.84/0.95 tff(3850,plain,
% 0.84/0.95 (~node4(s8)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1231, 67, 974])).
% 0.84/0.95 tff(3851,plain,
% 0.84/0.95 (~node4(s7)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1235, 67, 986])).
% 0.84/0.95 tff(3852,plain,
% 0.84/0.95 (~node4(s6)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1239, 67, 998])).
% 0.84/0.95 tff(3853,plain,
% 0.84/0.95 (~node4(s5)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1243, 67, 1010])).
% 0.84/0.95 tff(3854,assumption,(~always3(s15)), introduced(assumption)).
% 0.84/0.95 tff(3855,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s15) | (~trans(s49, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s15) | (~trans(s49, s15)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3856,plain,
% 0.84/0.95 (((~trans(s49, s15)) | (~always3(s49)) | always3(s15)) <=> ((~always3(s49)) | always3(s15) | (~trans(s49, s15)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3857,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s15)) | (~always3(s49)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s15) | (~trans(s49, s15))))),
% 0.84/0.95 inference(monotonicity,[status(thm)],[3856])).
% 0.84/0.95 tff(3858,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s15)) | (~always3(s49)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s15) | (~trans(s49, s15)))),
% 0.84/0.95 inference(transitivity,[status(thm)],[3857, 3855])).
% 0.84/0.95 tff(3859,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s15)) | (~always3(s49)) | always3(s15))),
% 0.84/0.95 inference(quant_inst,[status(thm)],[])).
% 0.84/0.95 tff(3860,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s15) | (~trans(s49, s15))),
% 0.84/0.95 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 0.84/0.95 tff(3861,plain,
% 0.84/0.95 ($false),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3860, 2401, 81, 3667, 3854])).
% 0.84/0.95 tff(3862,plain,((~trans(s49, s15)) | (~always3(s49)) | always3(s15)), inference(lemma,lemma(discharge,[]))).
% 0.84/0.95 tff(3863,plain,
% 0.84/0.95 ((~trans(s49, s15)) | always3(s15)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3862, 3665])).
% 0.84/0.95 tff(3864,plain,
% 0.84/0.95 (~trans(s49, s15)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[3863, 923])).
% 0.84/0.95 tff(3865,plain,
% 0.84/0.95 (~node4(s4)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1247, 67, 1022])).
% 0.84/0.95 tff(3866,plain,
% 0.84/0.95 (~node4(s3)),
% 0.84/0.95 inference(unit_resolution,[status(thm)],[1251, 67, 1034])).
% 0.84/0.95 tff(3867,assumption,(~trans(s49, s0)), introduced(assumption)).
% 0.84/0.95 tff(3868,assumption,(~trans(s49, s10)), introduced(assumption)).
% 0.84/0.95 tff(3869,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s45) | (~trans(s49, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s45) | (~trans(s49, s45)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3870,plain,
% 0.84/0.95 (((~trans(s49, s45)) | (~always3(s49)) | always3(s45)) <=> ((~always3(s49)) | always3(s45) | (~trans(s49, s45)))),
% 0.84/0.95 inference(rewrite,[status(thm)],[])).
% 0.84/0.95 tff(3871,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s45)) | (~always3(s49)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s45) | (~trans(s49, s45))))),
% 0.84/0.95 inference(monotonicity,[status(thm)],[3870])).
% 0.84/0.95 tff(3872,plain,
% 0.84/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s45)) | (~always3(s49)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s45) | (~trans(s49, s45)))),
% 0.84/0.95 inference(transitivity,[status(thm)],[3871, 3869])).
% 0.84/0.95 tff(3873,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s45)) | (~always3(s49)) | always3(s45))),
% 0.84/0.95 inference(quant_inst,[status(thm)],[])).
% 0.84/0.95 tff(3874,plain,
% 0.84/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s45) | (~trans(s49, s45))),
% 0.84/0.95 inference(modus_ponens,[status(thm)],[3873, 3872])).
% 0.89/0.95 tff(3875,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3874, 2123, 81, 3665, 640])).
% 0.89/0.95 tff(3876,plain,((~trans(s49, s45)) | always3(s45)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3877,plain,
% 0.89/0.95 (~trans(s49, s45)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3876, 640])).
% 0.89/0.95 tff(3878,assumption,(~trans(s49, s8)), introduced(assumption)).
% 0.89/0.95 tff(3879,assumption,(~trans(s49, s14)), introduced(assumption)).
% 0.89/0.95 tff(3880,assumption,(~trans(s49, s12)), introduced(assumption)).
% 0.89/0.95 tff(3881,assumption,(~always3(s32)), introduced(assumption)).
% 0.89/0.95 tff(3882,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s32) | (~trans(s49, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s32) | (~trans(s49, s32)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3883,plain,
% 0.89/0.95 (((~trans(s49, s32)) | (~always3(s49)) | always3(s32)) <=> ((~always3(s49)) | always3(s32) | (~trans(s49, s32)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3884,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s32)) | (~always3(s49)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s32) | (~trans(s49, s32))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3883])).
% 0.89/0.95 tff(3885,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s32)) | (~always3(s49)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s32) | (~trans(s49, s32)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3884, 3882])).
% 0.89/0.95 tff(3886,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s32)) | (~always3(s49)) | always3(s32))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3887,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s32) | (~trans(s49, s32))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3886, 3885])).
% 0.89/0.95 tff(3888,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3887, 2040, 81, 3665, 3881])).
% 0.89/0.95 tff(3889,plain,((~trans(s49, s32)) | always3(s32)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3890,plain,
% 0.89/0.95 (~trans(s49, s32)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3889, 774])).
% 0.89/0.95 tff(3891,assumption,(~trans(s49, s16)), introduced(assumption)).
% 0.89/0.95 tff(3892,assumption,(~trans(s49, s7)), introduced(assumption)).
% 0.89/0.95 tff(3893,assumption,(~always3(s25)), introduced(assumption)).
% 0.89/0.95 tff(3894,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s25) | (~trans(s49, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s25) | (~trans(s49, s25)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3895,plain,
% 0.89/0.95 (((~trans(s49, s25)) | (~always3(s49)) | always3(s25)) <=> ((~always3(s49)) | always3(s25) | (~trans(s49, s25)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3896,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s25)) | (~always3(s49)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s25) | (~trans(s49, s25))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3895])).
% 0.89/0.95 tff(3897,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s25)) | (~always3(s49)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s25) | (~trans(s49, s25)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3896, 3894])).
% 0.89/0.95 tff(3898,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s25)) | (~always3(s49)) | always3(s25))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3899,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s25) | (~trans(s49, s25))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 0.89/0.95 tff(3900,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3899, 2134, 81, 3665, 3893])).
% 0.89/0.95 tff(3901,plain,((~trans(s49, s25)) | always3(s25)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3902,plain,
% 0.89/0.95 (~trans(s49, s25)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3901, 858])).
% 0.89/0.95 tff(3903,assumption,(~always3(s29)), introduced(assumption)).
% 0.89/0.95 tff(3904,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s29) | (~trans(s49, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s29) | (~trans(s49, s29)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3905,plain,
% 0.89/0.95 (((~trans(s49, s29)) | (~always3(s49)) | always3(s29)) <=> ((~always3(s49)) | always3(s29) | (~trans(s49, s29)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3906,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s29)) | (~always3(s49)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s29) | (~trans(s49, s29))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3905])).
% 0.89/0.95 tff(3907,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s29)) | (~always3(s49)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s29) | (~trans(s49, s29)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3906, 3904])).
% 0.89/0.95 tff(3908,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s29)) | (~always3(s49)) | always3(s29))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3909,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s29) | (~trans(s49, s29))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3908, 3907])).
% 0.89/0.95 tff(3910,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3909, 2156, 81, 3665, 3903])).
% 0.89/0.95 tff(3911,plain,((~trans(s49, s29)) | always3(s29)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3912,plain,
% 0.89/0.95 (~trans(s49, s29)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3911, 810])).
% 0.89/0.95 tff(3913,assumption,(~always3(s36)), introduced(assumption)).
% 0.89/0.95 tff(3914,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s36) | (~trans(s49, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s36) | (~trans(s49, s36)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3915,plain,
% 0.89/0.95 (((~trans(s49, s36)) | (~always3(s49)) | always3(s36)) <=> ((~always3(s49)) | always3(s36) | (~trans(s49, s36)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3916,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s36)) | (~always3(s49)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s36) | (~trans(s49, s36))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3915])).
% 0.89/0.95 tff(3917,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s36)) | (~always3(s49)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s36) | (~trans(s49, s36)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3916, 3914])).
% 0.89/0.95 tff(3918,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s36)) | (~always3(s49)) | always3(s36))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3919,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s36) | (~trans(s49, s36))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3918, 3917])).
% 0.89/0.95 tff(3920,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3919, 2167, 81, 3665, 3913])).
% 0.89/0.95 tff(3921,plain,((~trans(s49, s36)) | always3(s36)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3922,plain,
% 0.89/0.95 (~trans(s49, s36)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3921, 726])).
% 0.89/0.95 tff(3923,assumption,(~always3(s42)), introduced(assumption)).
% 0.89/0.95 tff(3924,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s42) | (~trans(s49, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s42) | (~trans(s49, s42)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3925,plain,
% 0.89/0.95 (((~trans(s49, s42)) | (~always3(s49)) | always3(s42)) <=> ((~always3(s49)) | always3(s42) | (~trans(s49, s42)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3926,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s42)) | (~always3(s49)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s42) | (~trans(s49, s42))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3925])).
% 0.89/0.95 tff(3927,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s42)) | (~always3(s49)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s42) | (~trans(s49, s42)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3926, 3924])).
% 0.89/0.95 tff(3928,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s42)) | (~always3(s49)) | always3(s42))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3929,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s42) | (~trans(s49, s42))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 0.89/0.95 tff(3930,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3929, 2511, 81, 3667, 3923])).
% 0.89/0.95 tff(3931,plain,((~trans(s49, s42)) | (~always3(s49)) | always3(s42)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3932,plain,
% 0.89/0.95 ((~trans(s49, s42)) | always3(s42)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3931, 3665])).
% 0.89/0.95 tff(3933,plain,
% 0.89/0.95 (~trans(s49, s42)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3932, 665])).
% 0.89/0.95 tff(3934,assumption,(~trans(s49, s3)), introduced(assumption)).
% 0.89/0.95 tff(3935,assumption,(~always3(s17)), introduced(assumption)).
% 0.89/0.95 tff(3936,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s17) | (~trans(s49, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s17) | (~trans(s49, s17)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3937,plain,
% 0.89/0.95 (((~trans(s49, s17)) | (~always3(s49)) | always3(s17)) <=> ((~always3(s49)) | always3(s17) | (~trans(s49, s17)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3938,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s17)) | (~always3(s49)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s17) | (~trans(s49, s17))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3937])).
% 0.89/0.95 tff(3939,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s17)) | (~always3(s49)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s17) | (~trans(s49, s17)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3938, 3936])).
% 0.89/0.95 tff(3940,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s17)) | (~always3(s49)) | always3(s17))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3941,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s17) | (~trans(s49, s17))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 0.89/0.95 tff(3942,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3941, 2239, 81, 3665, 3935])).
% 0.89/0.95 tff(3943,plain,((~trans(s49, s17)) | always3(s17)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3944,plain,
% 0.89/0.95 (~trans(s49, s17)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3943, 899])).
% 0.89/0.95 tff(3945,assumption,(~trans(s49, s1)), introduced(assumption)).
% 0.89/0.95 tff(3946,assumption,(~always3(s23)), introduced(assumption)).
% 0.89/0.95 tff(3947,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s23) | (~trans(s49, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s23) | (~trans(s49, s23)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3948,plain,
% 0.89/0.95 (((~trans(s49, s23)) | (~always3(s49)) | always3(s23)) <=> ((~always3(s49)) | always3(s23) | (~trans(s49, s23)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3949,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s23)) | (~always3(s49)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s23) | (~trans(s49, s23))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3948])).
% 0.89/0.95 tff(3950,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s23)) | (~always3(s49)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s23) | (~trans(s49, s23)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3949, 3947])).
% 0.89/0.95 tff(3951,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s23)) | (~always3(s49)) | always3(s23))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3952,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s23) | (~trans(s49, s23))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 0.89/0.95 tff(3953,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3952, 2261, 81, 3667, 3946])).
% 0.89/0.95 tff(3954,plain,((~trans(s49, s23)) | (~always3(s49)) | always3(s23)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3955,plain,
% 0.89/0.95 ((~trans(s49, s23)) | always3(s23)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3954, 3665])).
% 0.89/0.95 tff(3956,plain,
% 0.89/0.95 (~trans(s49, s23)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3955, 871])).
% 0.89/0.95 tff(3957,assumption,(~trans(s49, s11)), introduced(assumption)).
% 0.89/0.95 tff(3958,assumption,(~trans(s49, s6)), introduced(assumption)).
% 0.89/0.95 tff(3959,assumption,(~always3(s24)), introduced(assumption)).
% 0.89/0.95 tff(3960,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s24) | (~trans(s49, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s24) | (~trans(s49, s24)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3961,plain,
% 0.89/0.95 (((~trans(s49, s24)) | (~always3(s49)) | always3(s24)) <=> ((~always3(s49)) | always3(s24) | (~trans(s49, s24)))),
% 0.89/0.95 inference(rewrite,[status(thm)],[])).
% 0.89/0.95 tff(3962,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s24)) | (~always3(s49)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s24) | (~trans(s49, s24))))),
% 0.89/0.95 inference(monotonicity,[status(thm)],[3961])).
% 0.89/0.95 tff(3963,plain,
% 0.89/0.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s24)) | (~always3(s49)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s24) | (~trans(s49, s24)))),
% 0.89/0.95 inference(transitivity,[status(thm)],[3962, 3960])).
% 0.89/0.95 tff(3964,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s24)) | (~always3(s49)) | always3(s24))),
% 0.89/0.95 inference(quant_inst,[status(thm)],[])).
% 0.89/0.95 tff(3965,plain,
% 0.89/0.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s24) | (~trans(s49, s24))),
% 0.89/0.95 inference(modus_ponens,[status(thm)],[3964, 3963])).
% 0.89/0.95 tff(3966,plain,
% 0.89/0.95 ($false),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3965, 2294, 81, 3667, 3959])).
% 0.89/0.95 tff(3967,plain,((~trans(s49, s24)) | (~always3(s49)) | always3(s24)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.95 tff(3968,plain,
% 0.89/0.95 ((~trans(s49, s24)) | always3(s24)),
% 0.89/0.95 inference(unit_resolution,[status(thm)],[3967, 3665])).
% 0.89/0.96 tff(3969,plain,
% 0.89/0.96 (~trans(s49, s24)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3968, 859])).
% 0.89/0.96 tff(3970,assumption,(~always3(s20)), introduced(assumption)).
% 0.89/0.96 tff(3971,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s20) | (~trans(s49, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s20) | (~trans(s49, s20)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(3972,plain,
% 0.89/0.96 (((~trans(s49, s20)) | (~always3(s49)) | always3(s20)) <=> ((~always3(s49)) | always3(s20) | (~trans(s49, s20)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(3973,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s20)) | (~always3(s49)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s20) | (~trans(s49, s20))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[3972])).
% 0.89/0.96 tff(3974,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s20)) | (~always3(s49)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s20) | (~trans(s49, s20)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[3973, 3971])).
% 0.89/0.96 tff(3975,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s20)) | (~always3(s49)) | always3(s20))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(3976,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s20) | (~trans(s49, s20))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 0.89/0.96 tff(3977,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3976, 2305, 81, 3667, 3970])).
% 0.89/0.96 tff(3978,plain,((~trans(s49, s20)) | (~always3(s49)) | always3(s20)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(3979,plain,
% 0.89/0.96 ((~trans(s49, s20)) | always3(s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3978, 3665])).
% 0.89/0.96 tff(3980,plain,
% 0.89/0.96 (~trans(s49, s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3979, 885])).
% 0.89/0.96 tff(3981,assumption,(~trans(s49, s9)), introduced(assumption)).
% 0.89/0.96 tff(3982,assumption,(~always3(s38)), introduced(assumption)).
% 0.89/0.96 tff(3983,plain,
% 0.89/0.96 (~always3(s37)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[724, 3982])).
% 0.89/0.96 tff(3984,plain,
% 0.89/0.96 (~always3(s36)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[266, 3983])).
% 0.89/0.96 tff(3985,plain,
% 0.89/0.96 (~always3(s35)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[737, 3984])).
% 0.89/0.96 tff(3986,plain,
% 0.89/0.96 (~always3(s34)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[749, 3985])).
% 0.89/0.96 tff(3987,plain,
% 0.89/0.96 (~always3(s33)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[761, 3986])).
% 0.89/0.96 tff(3988,plain,
% 0.89/0.96 (~always3(s32)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[773, 3987])).
% 0.89/0.96 tff(3989,plain,
% 0.89/0.96 (~always3(s31)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[785, 3988])).
% 0.89/0.96 tff(3990,plain,
% 0.89/0.96 (~always3(s30)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[797, 3989])).
% 0.89/0.96 tff(3991,plain,
% 0.89/0.96 (~always3(s29)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[809, 3990])).
% 0.89/0.96 tff(3992,plain,
% 0.89/0.96 (~always3(s28)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[821, 3991])).
% 0.89/0.96 tff(3993,plain,
% 0.89/0.96 (~always3(s27)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[833, 3992])).
% 0.89/0.96 tff(3994,plain,
% 0.89/0.96 (~always3(s26)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[845, 3993])).
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% 0.89/0.96 (until5(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3289, 4116])).
% 0.89/0.96 tff(4118,plain,
% 0.89/0.96 (xuntil6(s21) | (~until5(s21))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3297, 1275, 4037])).
% 0.89/0.96 tff(4119,plain,
% 0.89/0.96 (xuntil6(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4118, 4117])).
% 0.89/0.96 tff(4120,plain,
% 0.89/0.96 (until5(s22)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3303, 4119])).
% 0.89/0.96 tff(4121,plain,
% 0.89/0.96 (xuntil6(s37)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3599, 4120, 3983])).
% 0.89/0.96 tff(4122,plain,
% 0.89/0.96 (until5(s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[2778, 4121])).
% 0.89/0.96 tff(4123,plain,
% 0.89/0.96 (xuntil6(s38) | (~until5(s38))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[2772, 1275, 4023])).
% 0.89/0.96 tff(4124,plain,
% 0.89/0.96 (xuntil6(s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4123, 4122])).
% 0.89/0.96 tff(4125,plain,
% 0.89/0.96 (until5(s39)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[2763, 4124])).
% 0.89/0.96 tff(4126,plain,
% 0.89/0.96 (always3(s49)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3515, 4125, 4056, 4055, 4054, 4053, 4052, 4051, 4050, 4049, 4048, 4047, 4046, 4045, 4044, 4043, 4042, 4041, 4040, 4039, 4038, 4037, 4036, 4035, 4034, 4033, 4032, 4031, 4030, 4029, 4028, 4027, 4026, 4025, 4024, 4023, 4022, 4020])).
% 0.89/0.96 tff(4127,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s38) | (~trans(s49, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s38) | (~trans(s49, s38)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4128,plain,
% 0.89/0.96 (((~trans(s49, s38)) | (~always3(s49)) | always3(s38)) <=> ((~always3(s49)) | always3(s38) | (~trans(s49, s38)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4129,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s38)) | (~always3(s49)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s38) | (~trans(s49, s38))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4128])).
% 0.89/0.96 tff(4130,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s38)) | (~always3(s49)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s38) | (~trans(s49, s38)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4129, 4127])).
% 0.89/0.96 tff(4131,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s38)) | (~always3(s49)) | always3(s38))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4132,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s38) | (~trans(s49, s38))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4131, 4130])).
% 0.89/0.96 tff(4133,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4132, 2327, 81, 4126, 3982])).
% 0.89/0.96 tff(4134,plain,((~trans(s49, s38)) | always3(s38)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4135,plain,
% 0.89/0.96 (~trans(s49, s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4134, 713])).
% 0.89/0.96 tff(4136,assumption,(~always3(s21)), introduced(assumption)).
% 0.89/0.96 tff(4137,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s21) | (~trans(s49, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s21) | (~trans(s49, s21)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4138,plain,
% 0.89/0.96 (((~trans(s49, s21)) | (~always3(s49)) | always3(s21)) <=> ((~always3(s49)) | always3(s21) | (~trans(s49, s21)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4139,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s21)) | (~always3(s49)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s21) | (~trans(s49, s21))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4138])).
% 0.89/0.96 tff(4140,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s21)) | (~always3(s49)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s21) | (~trans(s49, s21)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4139, 4137])).
% 0.89/0.96 tff(4141,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s21)) | (~always3(s49)) | always3(s21))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4142,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s21) | (~trans(s49, s21))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4141, 4140])).
% 0.89/0.96 tff(4143,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4142, 2338, 81, 3667, 4136])).
% 0.89/0.96 tff(4144,plain,((~trans(s49, s21)) | (~always3(s49)) | always3(s21)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4145,plain,
% 0.89/0.96 ((~trans(s49, s21)) | always3(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4144, 3665])).
% 0.89/0.96 tff(4146,plain,
% 0.89/0.96 (~trans(s49, s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4145, 884])).
% 0.89/0.96 tff(4147,assumption,(~always3(s30)), introduced(assumption)).
% 0.89/0.96 tff(4148,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s30) | (~trans(s49, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s30) | (~trans(s49, s30)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4149,plain,
% 0.89/0.96 (((~trans(s49, s30)) | (~always3(s49)) | always3(s30)) <=> ((~always3(s49)) | always3(s30) | (~trans(s49, s30)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4150,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s30)) | (~always3(s49)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s30) | (~trans(s49, s30))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4149])).
% 0.89/0.96 tff(4151,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s30)) | (~always3(s49)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s30) | (~trans(s49, s30)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4150, 4148])).
% 0.89/0.96 tff(4152,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s30)) | (~always3(s49)) | always3(s30))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4153,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s30) | (~trans(s49, s30))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4152, 4151])).
% 0.89/0.96 tff(4154,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4153, 2349, 81, 3667, 4147])).
% 0.89/0.96 tff(4155,plain,((~trans(s49, s30)) | (~always3(s49)) | always3(s30)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4156,plain,
% 0.89/0.96 ((~trans(s49, s30)) | always3(s30)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4155, 3665])).
% 0.89/0.96 tff(4157,plain,
% 0.89/0.96 (~trans(s49, s30)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4156, 798])).
% 0.89/0.96 tff(4158,assumption,(~trans(s49, s2)), introduced(assumption)).
% 0.89/0.96 tff(4159,assumption,(~trans(s49, s15)), introduced(assumption)).
% 0.89/0.96 tff(4160,assumption,(~trans(s49, s4)), introduced(assumption)).
% 0.89/0.96 tff(4161,assumption,(~always3(s39)), introduced(assumption)).
% 0.89/0.96 tff(4162,plain,
% 0.89/0.96 (~always3(s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[712, 4161])).
% 0.89/0.96 tff(4163,plain,
% 0.89/0.96 (~always3(s37)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[724, 4162])).
% 0.89/0.96 tff(4164,plain,
% 0.89/0.96 (~always3(s36)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[266, 4163])).
% 0.89/0.96 tff(4165,plain,
% 0.89/0.96 (~always3(s35)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[737, 4164])).
% 0.89/0.96 tff(4166,plain,
% 0.89/0.96 (~always3(s34)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[749, 4165])).
% 0.89/0.96 tff(4167,plain,
% 0.89/0.96 (~always3(s33)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[761, 4166])).
% 0.89/0.96 tff(4168,plain,
% 0.89/0.96 (~always3(s32)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[773, 4167])).
% 0.89/0.96 tff(4169,plain,
% 0.89/0.96 (~always3(s31)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[785, 4168])).
% 0.89/0.96 tff(4170,plain,
% 0.89/0.96 (~always3(s30)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[797, 4169])).
% 0.89/0.96 tff(4171,plain,
% 0.89/0.96 (~always3(s29)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[809, 4170])).
% 0.89/0.96 tff(4172,plain,
% 0.89/0.96 (~always3(s28)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[821, 4171])).
% 0.89/0.96 tff(4173,plain,
% 0.89/0.96 (~always3(s27)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[833, 4172])).
% 0.89/0.96 tff(4174,plain,
% 0.89/0.96 (~always3(s26)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[845, 4173])).
% 0.89/0.96 tff(4175,plain,
% 0.89/0.96 (~always3(s25)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[857, 4174])).
% 0.89/0.96 tff(4176,plain,
% 0.89/0.96 (~always3(s24)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[502, 4175])).
% 0.89/0.96 tff(4177,plain,
% 0.89/0.96 (~always3(s23)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[870, 4176])).
% 0.89/0.96 tff(4178,plain,
% 0.89/0.96 (~always3(s22)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[882, 4177])).
% 0.89/0.96 tff(4179,plain,
% 0.89/0.96 (~always3(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[367, 4178])).
% 0.89/0.96 tff(4180,plain,
% 0.89/0.96 (~always3(s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[551, 4179])).
% 0.89/0.96 tff(4181,plain,
% 0.89/0.96 (~always3(s19)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[896, 4180])).
% 0.89/0.96 tff(4182,plain,
% 0.89/0.96 (~always3(s18)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[459, 4181])).
% 0.89/0.96 tff(4183,plain,
% 0.89/0.96 (~always3(s17)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[345, 4182])).
% 0.89/0.96 tff(4184,plain,
% 0.89/0.96 (~always3(s16)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[910, 4183])).
% 0.89/0.96 tff(4185,plain,
% 0.89/0.96 (~always3(s15)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[922, 4184])).
% 0.89/0.96 tff(4186,plain,
% 0.89/0.96 (~always3(s14)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[934, 4185])).
% 0.89/0.96 tff(4187,plain,
% 0.89/0.96 (~always3(s13)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[946, 4186])).
% 0.89/0.96 tff(4188,plain,
% 0.89/0.96 (~always3(s12)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[958, 4187])).
% 0.89/0.96 tff(4189,plain,
% 0.89/0.96 (~always3(s11)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[416, 4188])).
% 0.89/0.96 tff(4190,plain,
% 0.89/0.96 (~always3(s10)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[121, 4189])).
% 0.89/0.96 tff(4191,plain,
% 0.89/0.96 (~always3(s9)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[180, 4190])).
% 0.89/0.96 tff(4192,plain,
% 0.89/0.96 (~always3(s8)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[973, 4191])).
% 0.89/0.96 tff(4193,plain,
% 0.89/0.96 (~always3(s7)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[985, 4192])).
% 0.89/0.96 tff(4194,plain,
% 0.89/0.96 (~always3(s6)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[997, 4193])).
% 0.89/0.96 tff(4195,plain,
% 0.89/0.96 (~always3(s5)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1009, 4194])).
% 0.89/0.96 tff(4196,plain,
% 0.89/0.96 (~always3(s4)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1021, 4195])).
% 0.89/0.96 tff(4197,plain,
% 0.89/0.96 (~always3(s3)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1033, 4196])).
% 0.89/0.96 tff(4198,plain,
% 0.89/0.96 (~always3(s2)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1045, 4197])).
% 0.89/0.96 tff(4199,plain,
% 0.89/0.96 (~always3(s1)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[223, 4198])).
% 0.89/0.96 tff(4200,plain,
% 0.89/0.96 (~node4(s1)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[211, 67, 4199])).
% 0.89/0.96 tff(4201,plain,
% 0.89/0.96 (~always3(s0)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[85, 4199])).
% 0.89/0.96 tff(4202,plain,
% 0.89/0.96 (~node4(s0)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[70, 67, 4201])).
% 0.89/0.96 tff(4203,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[1111, 67, 4162])).
% 0.89/0.96 tff(4204,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[1154, 67, 4163])).
% 0.89/0.96 tff(4205,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[254, 67, 4164])).
% 0.89/0.96 tff(4206,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[1159, 67, 4165])).
% 0.89/0.96 tff(4207,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[1163, 67, 4167])).
% 0.89/0.96 tff(4208,plain,
% 0.89/0.96 (~node4(s32)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1167, 67, 4168])).
% 0.89/0.96 tff(4209,plain,
% 0.89/0.96 (~node4(s31)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1171, 67, 4169])).
% 0.89/0.96 tff(4210,plain,
% 0.89/0.96 (~node4(s30)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1175, 67, 4170])).
% 0.89/0.96 tff(4211,plain,
% 0.89/0.96 (~node4(s29)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1179, 67, 4171])).
% 0.89/0.96 tff(4212,plain,
% 0.89/0.96 (~node4(s28)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1183, 67, 4172])).
% 0.89/0.96 tff(4213,plain,
% 0.89/0.96 (~node4(s26)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1187, 67, 4174])).
% 0.89/0.96 tff(4214,plain,
% 0.89/0.96 (~node4(s25)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1191, 67, 4175])).
% 0.89/0.96 tff(4215,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[490, 67, 4176])).
% 0.89/0.96 tff(4216,plain,
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% 0.89/0.96 inference(unit_resolution,[status(thm)],[1196, 67, 4177])).
% 0.89/0.96 tff(4217,plain,
% 0.89/0.96 (~node4(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[355, 67, 4179])).
% 0.89/0.96 tff(4218,plain,
% 0.89/0.96 (~node4(s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[539, 67, 4180])).
% 0.89/0.96 tff(4219,plain,
% 0.89/0.96 (~node4(s19)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1202, 67, 4181])).
% 0.89/0.96 tff(4220,plain,
% 0.89/0.96 (~node4(s18)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[447, 67, 4182])).
% 0.89/0.96 tff(4221,plain,
% 0.89/0.96 (~node4(s17)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[299, 67, 4183])).
% 0.89/0.96 tff(4222,plain,
% 0.89/0.96 (~node4(s16)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1208, 67, 4184])).
% 0.89/0.96 tff(4223,plain,
% 0.89/0.96 (~node4(s15)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1212, 67, 4185])).
% 0.89/0.96 tff(4224,plain,
% 0.89/0.96 (~node4(s14)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1216, 67, 4186])).
% 0.89/0.96 tff(4225,plain,
% 0.89/0.96 (~node4(s13)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1220, 67, 4187])).
% 0.89/0.96 tff(4226,plain,
% 0.89/0.96 (~node4(s12)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1224, 67, 4188])).
% 0.89/0.96 tff(4227,plain,
% 0.89/0.96 (~node4(s11)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[404, 67, 4189])).
% 0.89/0.96 tff(4228,plain,
% 0.89/0.96 (~node4(s10)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[109, 67, 4190])).
% 0.89/0.96 tff(4229,plain,
% 0.89/0.96 (~node4(s9)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[168, 67, 4191])).
% 0.89/0.96 tff(4230,plain,
% 0.89/0.96 (~node4(s8)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1231, 67, 4192])).
% 0.89/0.96 tff(4231,plain,
% 0.89/0.96 (~node4(s7)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1235, 67, 4193])).
% 0.89/0.96 tff(4232,plain,
% 0.89/0.96 (~node4(s6)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1239, 67, 4194])).
% 0.89/0.96 tff(4233,plain,
% 0.89/0.96 (~node4(s5)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1243, 67, 4195])).
% 0.89/0.96 tff(4234,plain,
% 0.89/0.96 (~node4(s4)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1247, 67, 4196])).
% 0.89/0.96 tff(4235,plain,
% 0.89/0.96 (~node4(s3)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1251, 67, 4197])).
% 0.89/0.96 tff(4236,plain,
% 0.89/0.96 (~node4(s2)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1255, 67, 4198])).
% 0.89/0.96 tff(4237,plain,
% 0.89/0.96 (xuntil6(s0)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3006, 4202])).
% 0.89/0.96 tff(4238,plain,
% 0.89/0.96 (until5(s1)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3011, 4237])).
% 0.89/0.96 tff(4239,plain,
% 0.89/0.96 (xuntil6(s1)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3018, 1275, 4238, 4200])).
% 0.89/0.96 tff(4240,plain,
% 0.89/0.96 (until5(s2)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3023, 4239])).
% 0.89/0.96 tff(4241,plain,
% 0.89/0.96 (xuntil6(s2) | (~until5(s2))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3031, 1275, 4236])).
% 0.89/0.96 tff(4242,plain,
% 0.89/0.96 (xuntil6(s2)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4241, 4240])).
% 0.89/0.96 tff(4243,plain,
% 0.89/0.96 (until5(s3)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3037, 4242])).
% 0.89/0.96 tff(4244,plain,
% 0.89/0.96 (xuntil6(s3) | (~until5(s3))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3045, 1275, 4235])).
% 0.89/0.96 tff(4245,plain,
% 0.89/0.96 (xuntil6(s3)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4244, 4243])).
% 0.89/0.96 tff(4246,plain,
% 0.89/0.96 (until5(s4)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3051, 4245])).
% 0.89/0.96 tff(4247,plain,
% 0.89/0.96 (xuntil6(s4) | (~until5(s4))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3059, 1275, 4234])).
% 0.89/0.96 tff(4248,plain,
% 0.89/0.96 (xuntil6(s4)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4247, 4246])).
% 0.89/0.96 tff(4249,plain,
% 0.89/0.96 (until5(s5)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3065, 4248])).
% 0.89/0.96 tff(4250,plain,
% 0.89/0.96 (xuntil6(s5) | (~until5(s5))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3073, 1275, 4233])).
% 0.89/0.96 tff(4251,plain,
% 0.89/0.96 (xuntil6(s5)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4250, 4249])).
% 0.89/0.96 tff(4252,plain,
% 0.89/0.96 (until5(s6)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3079, 4251])).
% 0.89/0.96 tff(4253,plain,
% 0.89/0.96 (xuntil6(s6) | (~until5(s6))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3087, 1275, 4232])).
% 0.89/0.96 tff(4254,plain,
% 0.89/0.96 (xuntil6(s6)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4253, 4252])).
% 0.89/0.96 tff(4255,plain,
% 0.89/0.96 (until5(s7)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3093, 4254])).
% 0.89/0.96 tff(4256,plain,
% 0.89/0.96 (xuntil6(s7) | (~until5(s7))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3101, 1275, 4231])).
% 0.89/0.96 tff(4257,plain,
% 0.89/0.96 (xuntil6(s7)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4256, 4255])).
% 0.89/0.96 tff(4258,plain,
% 0.89/0.96 (until5(s8)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3107, 4257])).
% 0.89/0.96 tff(4259,plain,
% 0.89/0.96 (xuntil6(s8) | (~until5(s8))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3115, 1275, 4230])).
% 0.89/0.96 tff(4260,plain,
% 0.89/0.96 (xuntil6(s8)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4259, 4258])).
% 0.89/0.96 tff(4261,plain,
% 0.89/0.96 (until5(s9)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3121, 4260])).
% 0.89/0.96 tff(4262,plain,
% 0.89/0.96 (xuntil6(s9) | (~until5(s9))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3129, 1275, 4229])).
% 0.89/0.96 tff(4263,plain,
% 0.89/0.96 (xuntil6(s9)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4262, 4261])).
% 0.89/0.96 tff(4264,plain,
% 0.89/0.96 (until5(s10)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3135, 4263])).
% 0.89/0.96 tff(4265,plain,
% 0.89/0.96 (xuntil6(s10) | (~until5(s10))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3143, 1275, 4228])).
% 0.89/0.96 tff(4266,plain,
% 0.89/0.96 (xuntil6(s10)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4265, 4264])).
% 0.89/0.96 tff(4267,plain,
% 0.89/0.96 (until5(s11)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3149, 4266])).
% 0.89/0.96 tff(4268,plain,
% 0.89/0.96 (xuntil6(s11) | (~until5(s11))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3157, 1275, 4227])).
% 0.89/0.96 tff(4269,plain,
% 0.89/0.96 (xuntil6(s11)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4268, 4267])).
% 0.89/0.96 tff(4270,plain,
% 0.89/0.96 (until5(s12)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3163, 4269])).
% 0.89/0.96 tff(4271,plain,
% 0.89/0.96 (xuntil6(s12) | (~until5(s12))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3171, 1275, 4226])).
% 0.89/0.96 tff(4272,plain,
% 0.89/0.96 (xuntil6(s12)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4271, 4270])).
% 0.89/0.96 tff(4273,plain,
% 0.89/0.96 (until5(s13)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3177, 4272])).
% 0.89/0.96 tff(4274,plain,
% 0.89/0.96 (xuntil6(s13) | (~until5(s13))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3185, 1275, 4225])).
% 0.89/0.96 tff(4275,plain,
% 0.89/0.96 (xuntil6(s13)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4274, 4273])).
% 0.89/0.96 tff(4276,plain,
% 0.89/0.96 (until5(s14)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3191, 4275])).
% 0.89/0.96 tff(4277,plain,
% 0.89/0.96 (xuntil6(s14) | (~until5(s14))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3199, 1275, 4224])).
% 0.89/0.96 tff(4278,plain,
% 0.89/0.96 (xuntil6(s14)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4277, 4276])).
% 0.89/0.96 tff(4279,plain,
% 0.89/0.96 (until5(s15)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3205, 4278])).
% 0.89/0.96 tff(4280,plain,
% 0.89/0.96 (xuntil6(s15) | (~until5(s15))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3213, 1275, 4223])).
% 0.89/0.96 tff(4281,plain,
% 0.89/0.96 (xuntil6(s15)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4280, 4279])).
% 0.89/0.96 tff(4282,plain,
% 0.89/0.96 (until5(s16)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3219, 4281])).
% 0.89/0.96 tff(4283,plain,
% 0.89/0.96 (xuntil6(s16) | (~until5(s16))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3227, 1275, 4222])).
% 0.89/0.96 tff(4284,plain,
% 0.89/0.96 (xuntil6(s16)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4283, 4282])).
% 0.89/0.96 tff(4285,plain,
% 0.89/0.96 (until5(s17)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3233, 4284])).
% 0.89/0.96 tff(4286,plain,
% 0.89/0.96 (xuntil6(s17) | (~until5(s17))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3241, 1275, 4221])).
% 0.89/0.96 tff(4287,plain,
% 0.89/0.96 (xuntil6(s17)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4286, 4285])).
% 0.89/0.96 tff(4288,plain,
% 0.89/0.96 (until5(s18)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3247, 4287])).
% 0.89/0.96 tff(4289,plain,
% 0.89/0.96 (xuntil6(s18) | (~until5(s18))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3255, 1275, 4220])).
% 0.89/0.96 tff(4290,plain,
% 0.89/0.96 (xuntil6(s18)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4289, 4288])).
% 0.89/0.96 tff(4291,plain,
% 0.89/0.96 (until5(s19)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3261, 4290])).
% 0.89/0.96 tff(4292,plain,
% 0.89/0.96 (xuntil6(s19) | (~until5(s19))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3269, 1275, 4219])).
% 0.89/0.96 tff(4293,plain,
% 0.89/0.96 (xuntil6(s19)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4292, 4291])).
% 0.89/0.96 tff(4294,plain,
% 0.89/0.96 (until5(s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3275, 4293])).
% 0.89/0.96 tff(4295,plain,
% 0.89/0.96 (xuntil6(s20) | (~until5(s20))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3283, 1275, 4218])).
% 0.89/0.96 tff(4296,plain,
% 0.89/0.96 (xuntil6(s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4295, 4294])).
% 0.89/0.96 tff(4297,plain,
% 0.89/0.96 (until5(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3289, 4296])).
% 0.89/0.96 tff(4298,plain,
% 0.89/0.96 (xuntil6(s21) | (~until5(s21))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3297, 1275, 4217])).
% 0.89/0.96 tff(4299,plain,
% 0.89/0.96 (xuntil6(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4298, 4297])).
% 0.89/0.96 tff(4300,plain,
% 0.89/0.96 (until5(s22)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3303, 4299])).
% 0.89/0.96 tff(4301,plain,
% 0.89/0.96 (xuntil6(s37)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3599, 4300, 4163])).
% 0.89/0.96 tff(4302,plain,
% 0.89/0.96 (until5(s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[2778, 4301])).
% 0.89/0.96 tff(4303,plain,
% 0.89/0.96 (xuntil6(s38) | (~until5(s38))),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[2772, 1275, 4203])).
% 0.89/0.96 tff(4304,plain,
% 0.89/0.96 (xuntil6(s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4303, 4302])).
% 0.89/0.96 tff(4305,plain,
% 0.89/0.96 (until5(s39)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[2763, 4304])).
% 0.89/0.96 tff(4306,plain,
% 0.89/0.96 (always3(s49)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[3515, 4305, 4236, 4235, 4234, 4233, 4232, 4231, 4230, 4229, 4228, 4227, 4226, 4225, 4224, 4223, 4222, 4221, 4220, 4219, 4218, 4217, 4216, 4215, 4214, 4213, 4212, 4211, 4210, 4209, 4208, 4207, 4206, 4205, 4204, 4203, 4202, 4200])).
% 0.89/0.96 tff(4307,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s39) | (~trans(s49, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s39) | (~trans(s49, s39)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4308,plain,
% 0.89/0.96 (((~trans(s49, s39)) | (~always3(s49)) | always3(s39)) <=> ((~always3(s49)) | always3(s39) | (~trans(s49, s39)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4309,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s39)) | (~always3(s49)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s39) | (~trans(s49, s39))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4308])).
% 0.89/0.96 tff(4310,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s39)) | (~always3(s49)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s39) | (~trans(s49, s39)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4309, 4307])).
% 0.89/0.96 tff(4311,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s39)) | (~always3(s49)) | always3(s39))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4312,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s39) | (~trans(s49, s39))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 0.89/0.96 tff(4313,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4312, 2423, 81, 4306, 4161])).
% 0.89/0.96 tff(4314,plain,((~trans(s49, s39)) | always3(s39)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4315,plain,
% 0.89/0.96 (~trans(s49, s39)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4314, 701])).
% 0.89/0.96 tff(4316,assumption,(~always3(s31)), introduced(assumption)).
% 0.89/0.96 tff(4317,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s31) | (~trans(s49, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s31) | (~trans(s49, s31)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4318,plain,
% 0.89/0.96 (((~trans(s49, s31)) | (~always3(s49)) | always3(s31)) <=> ((~always3(s49)) | always3(s31) | (~trans(s49, s31)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4319,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s31)) | (~always3(s49)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s31) | (~trans(s49, s31))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4318])).
% 0.89/0.96 tff(4320,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s31)) | (~always3(s49)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s31) | (~trans(s49, s31)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4319, 4317])).
% 0.89/0.96 tff(4321,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s31)) | (~always3(s49)) | always3(s31))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4322,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s31) | (~trans(s49, s31))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4321, 4320])).
% 0.89/0.96 tff(4323,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4322, 2434, 81, 3667, 4316])).
% 0.89/0.96 tff(4324,plain,((~trans(s49, s31)) | (~always3(s49)) | always3(s31)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4325,plain,
% 0.89/0.96 ((~trans(s49, s31)) | always3(s31)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4324, 3665])).
% 0.89/0.96 tff(4326,plain,
% 0.89/0.96 (~trans(s49, s31)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4325, 786])).
% 0.89/0.96 tff(4327,assumption,(~always3(s22)), introduced(assumption)).
% 0.89/0.96 tff(4328,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s22) | (~trans(s49, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s22) | (~trans(s49, s22)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4329,plain,
% 0.89/0.96 (((~trans(s49, s22)) | (~always3(s49)) | always3(s22)) <=> ((~always3(s49)) | always3(s22) | (~trans(s49, s22)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4330,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s22)) | (~always3(s49)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s22) | (~trans(s49, s22))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4329])).
% 0.89/0.96 tff(4331,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s22)) | (~always3(s49)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s22) | (~trans(s49, s22)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4330, 4328])).
% 0.89/0.96 tff(4332,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s22)) | (~always3(s49)) | always3(s22))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4333,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s22) | (~trans(s49, s22))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 0.89/0.96 tff(4334,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4333, 2456, 81, 3667, 4327])).
% 0.89/0.96 tff(4335,plain,((~trans(s49, s22)) | (~always3(s49)) | always3(s22)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4336,plain,
% 0.89/0.96 ((~trans(s49, s22)) | always3(s22)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4335, 3665])).
% 0.89/0.96 tff(4337,plain,
% 0.89/0.96 (~trans(s49, s22)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4336, 883])).
% 0.89/0.96 tff(4338,assumption,(~always3(s34)), introduced(assumption)).
% 0.89/0.96 tff(4339,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s34) | (~trans(s49, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s34) | (~trans(s49, s34)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4340,plain,
% 0.89/0.96 (((~trans(s49, s34)) | (~always3(s49)) | always3(s34)) <=> ((~always3(s49)) | always3(s34) | (~trans(s49, s34)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4341,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s34)) | (~always3(s49)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s34) | (~trans(s49, s34))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4340])).
% 0.89/0.96 tff(4342,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s34)) | (~always3(s49)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s34) | (~trans(s49, s34)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4341, 4339])).
% 0.89/0.96 tff(4343,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s34)) | (~always3(s49)) | always3(s34))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4344,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s34) | (~trans(s49, s34))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 0.89/0.96 tff(4345,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4344, 2467, 81, 3667, 4338])).
% 0.89/0.96 tff(4346,plain,((~trans(s49, s34)) | (~always3(s49)) | always3(s34)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4347,plain,
% 0.89/0.96 ((~trans(s49, s34)) | always3(s34)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4346, 3665])).
% 0.89/0.96 tff(4348,plain,
% 0.89/0.96 (~trans(s49, s34)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4347, 750])).
% 0.89/0.96 tff(4349,assumption,(~always3(s27)), introduced(assumption)).
% 0.89/0.96 tff(4350,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s27) | (~trans(s49, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s27) | (~trans(s49, s27)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4351,plain,
% 0.89/0.96 (((~trans(s49, s27)) | (~always3(s49)) | always3(s27)) <=> ((~always3(s49)) | always3(s27) | (~trans(s49, s27)))),
% 0.89/0.96 inference(rewrite,[status(thm)],[])).
% 0.89/0.96 tff(4352,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s27)) | (~always3(s49)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s27) | (~trans(s49, s27))))),
% 0.89/0.96 inference(monotonicity,[status(thm)],[4351])).
% 0.89/0.96 tff(4353,plain,
% 0.89/0.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s27)) | (~always3(s49)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s27) | (~trans(s49, s27)))),
% 0.89/0.96 inference(transitivity,[status(thm)],[4352, 4350])).
% 0.89/0.96 tff(4354,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s27)) | (~always3(s49)) | always3(s27))),
% 0.89/0.96 inference(quant_inst,[status(thm)],[])).
% 0.89/0.96 tff(4355,plain,
% 0.89/0.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s27) | (~trans(s49, s27))),
% 0.89/0.96 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 0.89/0.96 tff(4356,plain,
% 0.89/0.96 ($false),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4355, 2478, 81, 3667, 4349])).
% 0.89/0.96 tff(4357,plain,((~trans(s49, s27)) | (~always3(s49)) | always3(s27)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.96 tff(4358,plain,
% 0.89/0.96 ((~trans(s49, s27)) | always3(s27)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4357, 3665])).
% 0.89/0.96 tff(4359,plain,
% 0.89/0.96 (~trans(s49, s27)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[4358, 834])).
% 0.89/0.96 tff(4360,assumption,(~always3(s40)), introduced(assumption)).
% 0.89/0.96 tff(4361,plain,
% 0.89/0.96 (~always3(s39)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[700, 4360])).
% 0.89/0.96 tff(4362,plain,
% 0.89/0.96 (~always3(s38)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[712, 4361])).
% 0.89/0.96 tff(4363,plain,
% 0.89/0.96 (~always3(s37)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[724, 4362])).
% 0.89/0.96 tff(4364,plain,
% 0.89/0.96 (~always3(s36)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[266, 4363])).
% 0.89/0.96 tff(4365,plain,
% 0.89/0.96 (~always3(s35)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[737, 4364])).
% 0.89/0.96 tff(4366,plain,
% 0.89/0.96 (~always3(s34)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[749, 4365])).
% 0.89/0.96 tff(4367,plain,
% 0.89/0.96 (~always3(s33)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[761, 4366])).
% 0.89/0.96 tff(4368,plain,
% 0.89/0.96 (~always3(s32)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[773, 4367])).
% 0.89/0.96 tff(4369,plain,
% 0.89/0.96 (~always3(s31)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[785, 4368])).
% 0.89/0.96 tff(4370,plain,
% 0.89/0.96 (~always3(s30)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[797, 4369])).
% 0.89/0.96 tff(4371,plain,
% 0.89/0.96 (~always3(s29)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[809, 4370])).
% 0.89/0.96 tff(4372,plain,
% 0.89/0.96 (~always3(s28)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[821, 4371])).
% 0.89/0.96 tff(4373,plain,
% 0.89/0.96 (~always3(s27)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[833, 4372])).
% 0.89/0.96 tff(4374,plain,
% 0.89/0.96 (~always3(s26)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[845, 4373])).
% 0.89/0.96 tff(4375,plain,
% 0.89/0.96 (~always3(s25)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[857, 4374])).
% 0.89/0.96 tff(4376,plain,
% 0.89/0.96 (~always3(s24)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[502, 4375])).
% 0.89/0.96 tff(4377,plain,
% 0.89/0.96 (~always3(s23)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[870, 4376])).
% 0.89/0.96 tff(4378,plain,
% 0.89/0.96 (~always3(s22)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[882, 4377])).
% 0.89/0.96 tff(4379,plain,
% 0.89/0.96 (~always3(s21)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[367, 4378])).
% 0.89/0.96 tff(4380,plain,
% 0.89/0.96 (~always3(s20)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[551, 4379])).
% 0.89/0.96 tff(4381,plain,
% 0.89/0.96 (~always3(s19)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[896, 4380])).
% 0.89/0.96 tff(4382,plain,
% 0.89/0.96 (~always3(s18)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[459, 4381])).
% 0.89/0.96 tff(4383,plain,
% 0.89/0.96 (~always3(s17)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[345, 4382])).
% 0.89/0.96 tff(4384,plain,
% 0.89/0.96 (~always3(s16)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[910, 4383])).
% 0.89/0.96 tff(4385,plain,
% 0.89/0.96 (~always3(s15)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[922, 4384])).
% 0.89/0.96 tff(4386,plain,
% 0.89/0.96 (~always3(s14)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[934, 4385])).
% 0.89/0.96 tff(4387,plain,
% 0.89/0.96 (~always3(s13)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[946, 4386])).
% 0.89/0.96 tff(4388,plain,
% 0.89/0.96 (~always3(s12)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[958, 4387])).
% 0.89/0.96 tff(4389,plain,
% 0.89/0.96 (~always3(s11)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[416, 4388])).
% 0.89/0.96 tff(4390,plain,
% 0.89/0.96 (~always3(s10)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[121, 4389])).
% 0.89/0.96 tff(4391,plain,
% 0.89/0.96 (~always3(s9)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[180, 4390])).
% 0.89/0.96 tff(4392,plain,
% 0.89/0.96 (~always3(s8)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[973, 4391])).
% 0.89/0.96 tff(4393,plain,
% 0.89/0.96 (~always3(s7)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[985, 4392])).
% 0.89/0.96 tff(4394,plain,
% 0.89/0.96 (~always3(s6)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[997, 4393])).
% 0.89/0.96 tff(4395,plain,
% 0.89/0.96 (~always3(s5)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1009, 4394])).
% 0.89/0.96 tff(4396,plain,
% 0.89/0.96 (~always3(s4)),
% 0.89/0.96 inference(unit_resolution,[status(thm)],[1021, 4395])).
% 0.89/0.97 tff(4397,plain,
% 0.89/0.97 (~always3(s3)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1033, 4396])).
% 0.89/0.97 tff(4398,plain,
% 0.89/0.97 (~always3(s2)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1045, 4397])).
% 0.89/0.97 tff(4399,plain,
% 0.89/0.97 (~always3(s1)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[223, 4398])).
% 0.89/0.97 tff(4400,plain,
% 0.89/0.97 (~node4(s1)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[211, 67, 4399])).
% 0.89/0.97 tff(4401,plain,
% 0.89/0.97 (~always3(s0)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[85, 4399])).
% 0.89/0.97 tff(4402,plain,
% 0.89/0.97 (~node4(s0)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[70, 67, 4401])).
% 0.89/0.97 tff(4403,plain,
% 0.89/0.97 (~node4(s38)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1111, 67, 4362])).
% 0.89/0.97 tff(4404,plain,
% 0.89/0.97 (~node4(s37)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1154, 67, 4363])).
% 0.89/0.97 tff(4405,plain,
% 0.89/0.97 (~node4(s36)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[254, 67, 4364])).
% 0.89/0.97 tff(4406,plain,
% 0.89/0.97 (~node4(s35)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1159, 67, 4365])).
% 0.89/0.97 tff(4407,plain,
% 0.89/0.97 (~node4(s33)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1163, 67, 4367])).
% 0.89/0.97 tff(4408,plain,
% 0.89/0.97 (~node4(s32)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1167, 67, 4368])).
% 0.89/0.97 tff(4409,plain,
% 0.89/0.97 (~node4(s31)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1171, 67, 4369])).
% 0.89/0.97 tff(4410,plain,
% 0.89/0.97 (~node4(s30)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1175, 67, 4370])).
% 0.89/0.97 tff(4411,plain,
% 0.89/0.97 (~node4(s29)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1179, 67, 4371])).
% 0.89/0.97 tff(4412,plain,
% 0.89/0.97 (~node4(s28)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1183, 67, 4372])).
% 0.89/0.97 tff(4413,plain,
% 0.89/0.97 (~node4(s26)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1187, 67, 4374])).
% 0.89/0.97 tff(4414,plain,
% 0.89/0.97 (~node4(s25)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1191, 67, 4375])).
% 0.89/0.97 tff(4415,plain,
% 0.89/0.97 (~node4(s24)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[490, 67, 4376])).
% 0.89/0.97 tff(4416,plain,
% 0.89/0.97 (~node4(s23)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1196, 67, 4377])).
% 0.89/0.97 tff(4417,plain,
% 0.89/0.97 (~node4(s21)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[355, 67, 4379])).
% 0.89/0.97 tff(4418,plain,
% 0.89/0.97 (~node4(s20)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[539, 67, 4380])).
% 0.89/0.97 tff(4419,plain,
% 0.89/0.97 (~node4(s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1202, 67, 4381])).
% 0.89/0.97 tff(4420,plain,
% 0.89/0.97 (~node4(s18)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[447, 67, 4382])).
% 0.89/0.97 tff(4421,plain,
% 0.89/0.97 (~node4(s17)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[299, 67, 4383])).
% 0.89/0.97 tff(4422,plain,
% 0.89/0.97 (~node4(s16)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1208, 67, 4384])).
% 0.89/0.97 tff(4423,plain,
% 0.89/0.97 (~node4(s15)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1212, 67, 4385])).
% 0.89/0.97 tff(4424,plain,
% 0.89/0.97 (~node4(s14)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1216, 67, 4386])).
% 0.89/0.97 tff(4425,plain,
% 0.89/0.97 (~node4(s13)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1220, 67, 4387])).
% 0.89/0.97 tff(4426,plain,
% 0.89/0.97 (~node4(s12)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1224, 67, 4388])).
% 0.89/0.97 tff(4427,plain,
% 0.89/0.97 (~node4(s11)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[404, 67, 4389])).
% 0.89/0.97 tff(4428,plain,
% 0.89/0.97 (~node4(s10)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[109, 67, 4390])).
% 0.89/0.97 tff(4429,plain,
% 0.89/0.97 (~node4(s9)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[168, 67, 4391])).
% 0.89/0.97 tff(4430,plain,
% 0.89/0.97 (~node4(s8)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1231, 67, 4392])).
% 0.89/0.97 tff(4431,plain,
% 0.89/0.97 (~node4(s7)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1235, 67, 4393])).
% 0.89/0.97 tff(4432,plain,
% 0.89/0.97 (~node4(s6)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1239, 67, 4394])).
% 0.89/0.97 tff(4433,plain,
% 0.89/0.97 (~node4(s5)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1243, 67, 4395])).
% 0.89/0.97 tff(4434,plain,
% 0.89/0.97 (~node4(s4)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1247, 67, 4396])).
% 0.89/0.97 tff(4435,plain,
% 0.89/0.97 (~node4(s3)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1251, 67, 4397])).
% 0.89/0.97 tff(4436,plain,
% 0.89/0.97 (~node4(s2)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[1255, 67, 4398])).
% 0.89/0.97 tff(4437,plain,
% 0.89/0.97 (xuntil6(s0)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3006, 4402])).
% 0.89/0.97 tff(4438,plain,
% 0.89/0.97 (until5(s1)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3011, 4437])).
% 0.89/0.97 tff(4439,plain,
% 0.89/0.97 (xuntil6(s1)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3018, 1275, 4438, 4400])).
% 0.89/0.97 tff(4440,plain,
% 0.89/0.97 (until5(s2)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3023, 4439])).
% 0.89/0.97 tff(4441,plain,
% 0.89/0.97 (xuntil6(s2) | (~until5(s2))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3031, 1275, 4436])).
% 0.89/0.97 tff(4442,plain,
% 0.89/0.97 (xuntil6(s2)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4441, 4440])).
% 0.89/0.97 tff(4443,plain,
% 0.89/0.97 (until5(s3)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3037, 4442])).
% 0.89/0.97 tff(4444,plain,
% 0.89/0.97 (xuntil6(s3) | (~until5(s3))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3045, 1275, 4435])).
% 0.89/0.97 tff(4445,plain,
% 0.89/0.97 (xuntil6(s3)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4444, 4443])).
% 0.89/0.97 tff(4446,plain,
% 0.89/0.97 (until5(s4)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3051, 4445])).
% 0.89/0.97 tff(4447,plain,
% 0.89/0.97 (xuntil6(s4) | (~until5(s4))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3059, 1275, 4434])).
% 0.89/0.97 tff(4448,plain,
% 0.89/0.97 (xuntil6(s4)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4447, 4446])).
% 0.89/0.97 tff(4449,plain,
% 0.89/0.97 (until5(s5)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3065, 4448])).
% 0.89/0.97 tff(4450,plain,
% 0.89/0.97 (xuntil6(s5) | (~until5(s5))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3073, 1275, 4433])).
% 0.89/0.97 tff(4451,plain,
% 0.89/0.97 (xuntil6(s5)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4450, 4449])).
% 0.89/0.97 tff(4452,plain,
% 0.89/0.97 (until5(s6)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3079, 4451])).
% 0.89/0.97 tff(4453,plain,
% 0.89/0.97 (xuntil6(s6) | (~until5(s6))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3087, 1275, 4432])).
% 0.89/0.97 tff(4454,plain,
% 0.89/0.97 (xuntil6(s6)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4453, 4452])).
% 0.89/0.97 tff(4455,plain,
% 0.89/0.97 (until5(s7)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3093, 4454])).
% 0.89/0.97 tff(4456,plain,
% 0.89/0.97 (xuntil6(s7) | (~until5(s7))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3101, 1275, 4431])).
% 0.89/0.97 tff(4457,plain,
% 0.89/0.97 (xuntil6(s7)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4456, 4455])).
% 0.89/0.97 tff(4458,plain,
% 0.89/0.97 (until5(s8)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3107, 4457])).
% 0.89/0.97 tff(4459,plain,
% 0.89/0.97 (xuntil6(s8) | (~until5(s8))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3115, 1275, 4430])).
% 0.89/0.97 tff(4460,plain,
% 0.89/0.97 (xuntil6(s8)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4459, 4458])).
% 0.89/0.97 tff(4461,plain,
% 0.89/0.97 (until5(s9)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3121, 4460])).
% 0.89/0.97 tff(4462,plain,
% 0.89/0.97 (xuntil6(s9) | (~until5(s9))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3129, 1275, 4429])).
% 0.89/0.97 tff(4463,plain,
% 0.89/0.97 (xuntil6(s9)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4462, 4461])).
% 0.89/0.97 tff(4464,plain,
% 0.89/0.97 (until5(s10)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3135, 4463])).
% 0.89/0.97 tff(4465,plain,
% 0.89/0.97 (xuntil6(s10) | (~until5(s10))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3143, 1275, 4428])).
% 0.89/0.97 tff(4466,plain,
% 0.89/0.97 (xuntil6(s10)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4465, 4464])).
% 0.89/0.97 tff(4467,plain,
% 0.89/0.97 (until5(s11)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3149, 4466])).
% 0.89/0.97 tff(4468,plain,
% 0.89/0.97 (xuntil6(s11) | (~until5(s11))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3157, 1275, 4427])).
% 0.89/0.97 tff(4469,plain,
% 0.89/0.97 (xuntil6(s11)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4468, 4467])).
% 0.89/0.97 tff(4470,plain,
% 0.89/0.97 (until5(s12)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3163, 4469])).
% 0.89/0.97 tff(4471,plain,
% 0.89/0.97 (xuntil6(s12) | (~until5(s12))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3171, 1275, 4426])).
% 0.89/0.97 tff(4472,plain,
% 0.89/0.97 (xuntil6(s12)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4471, 4470])).
% 0.89/0.97 tff(4473,plain,
% 0.89/0.97 (until5(s13)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3177, 4472])).
% 0.89/0.97 tff(4474,plain,
% 0.89/0.97 (xuntil6(s13) | (~until5(s13))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3185, 1275, 4425])).
% 0.89/0.97 tff(4475,plain,
% 0.89/0.97 (xuntil6(s13)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4474, 4473])).
% 0.89/0.97 tff(4476,plain,
% 0.89/0.97 (until5(s14)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3191, 4475])).
% 0.89/0.97 tff(4477,plain,
% 0.89/0.97 (xuntil6(s14) | (~until5(s14))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3199, 1275, 4424])).
% 0.89/0.97 tff(4478,plain,
% 0.89/0.97 (xuntil6(s14)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4477, 4476])).
% 0.89/0.97 tff(4479,plain,
% 0.89/0.97 (until5(s15)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3205, 4478])).
% 0.89/0.97 tff(4480,plain,
% 0.89/0.97 (xuntil6(s15) | (~until5(s15))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3213, 1275, 4423])).
% 0.89/0.97 tff(4481,plain,
% 0.89/0.97 (xuntil6(s15)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4480, 4479])).
% 0.89/0.97 tff(4482,plain,
% 0.89/0.97 (until5(s16)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3219, 4481])).
% 0.89/0.97 tff(4483,plain,
% 0.89/0.97 (xuntil6(s16) | (~until5(s16))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3227, 1275, 4422])).
% 0.89/0.97 tff(4484,plain,
% 0.89/0.97 (xuntil6(s16)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4483, 4482])).
% 0.89/0.97 tff(4485,plain,
% 0.89/0.97 (until5(s17)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3233, 4484])).
% 0.89/0.97 tff(4486,plain,
% 0.89/0.97 (xuntil6(s17) | (~until5(s17))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3241, 1275, 4421])).
% 0.89/0.97 tff(4487,plain,
% 0.89/0.97 (xuntil6(s17)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4486, 4485])).
% 0.89/0.97 tff(4488,plain,
% 0.89/0.97 (until5(s18)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3247, 4487])).
% 0.89/0.97 tff(4489,plain,
% 0.89/0.97 (xuntil6(s18) | (~until5(s18))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3255, 1275, 4420])).
% 0.89/0.97 tff(4490,plain,
% 0.89/0.97 (xuntil6(s18)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4489, 4488])).
% 0.89/0.97 tff(4491,plain,
% 0.89/0.97 (until5(s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3261, 4490])).
% 0.89/0.97 tff(4492,plain,
% 0.89/0.97 (xuntil6(s19) | (~until5(s19))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3269, 1275, 4419])).
% 0.89/0.97 tff(4493,plain,
% 0.89/0.97 (xuntil6(s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4492, 4491])).
% 0.89/0.97 tff(4494,plain,
% 0.89/0.97 (until5(s20)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3275, 4493])).
% 0.89/0.97 tff(4495,plain,
% 0.89/0.97 (xuntil6(s20) | (~until5(s20))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3283, 1275, 4418])).
% 0.89/0.97 tff(4496,plain,
% 0.89/0.97 (xuntil6(s20)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4495, 4494])).
% 0.89/0.97 tff(4497,plain,
% 0.89/0.97 (until5(s21)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3289, 4496])).
% 0.89/0.97 tff(4498,plain,
% 0.89/0.97 (xuntil6(s21) | (~until5(s21))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3297, 1275, 4417])).
% 0.89/0.97 tff(4499,plain,
% 0.89/0.97 (xuntil6(s21)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4498, 4497])).
% 0.89/0.97 tff(4500,plain,
% 0.89/0.97 (until5(s22)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3303, 4499])).
% 0.89/0.97 tff(4501,plain,
% 0.89/0.97 (xuntil6(s37)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3599, 4500, 4363])).
% 0.89/0.97 tff(4502,plain,
% 0.89/0.97 (until5(s38)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[2778, 4501])).
% 0.89/0.97 tff(4503,plain,
% 0.89/0.97 (xuntil6(s38) | (~until5(s38))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[2772, 1275, 4403])).
% 0.89/0.97 tff(4504,plain,
% 0.89/0.97 (xuntil6(s38)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4503, 4502])).
% 0.89/0.97 tff(4505,plain,
% 0.89/0.97 (until5(s39)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[2763, 4504])).
% 0.89/0.97 tff(4506,plain,
% 0.89/0.97 (always3(s49)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3515, 4505, 4436, 4435, 4434, 4433, 4432, 4431, 4430, 4429, 4428, 4427, 4426, 4425, 4424, 4423, 4422, 4421, 4420, 4419, 4418, 4417, 4416, 4415, 4414, 4413, 4412, 4411, 4410, 4409, 4408, 4407, 4406, 4405, 4404, 4403, 4402, 4400])).
% 0.89/0.97 tff(4507,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s40) | (~trans(s49, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s40) | (~trans(s49, s40)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4508,plain,
% 0.89/0.97 (((~trans(s49, s40)) | (~always3(s49)) | always3(s40)) <=> ((~always3(s49)) | always3(s40) | (~trans(s49, s40)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4509,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s40)) | (~always3(s49)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s40) | (~trans(s49, s40))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4508])).
% 0.89/0.97 tff(4510,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s40)) | (~always3(s49)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s40) | (~trans(s49, s40)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4509, 4507])).
% 0.89/0.97 tff(4511,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s40)) | (~always3(s49)) | always3(s40))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4512,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s40) | (~trans(s49, s40))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 0.89/0.97 tff(4513,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4512, 2489, 81, 4506, 4360])).
% 0.89/0.97 tff(4514,plain,((~trans(s49, s40)) | always3(s40)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4515,plain,
% 0.89/0.97 (~trans(s49, s40)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4514, 689])).
% 0.89/0.97 tff(4516,assumption,(~always3(s28)), introduced(assumption)).
% 0.89/0.97 tff(4517,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s28) | (~trans(s49, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s28) | (~trans(s49, s28)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4518,plain,
% 0.89/0.97 (((~trans(s49, s28)) | (~always3(s49)) | always3(s28)) <=> ((~always3(s49)) | always3(s28) | (~trans(s49, s28)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4519,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s28)) | (~always3(s49)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s28) | (~trans(s49, s28))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4518])).
% 0.89/0.97 tff(4520,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s28)) | (~always3(s49)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s28) | (~trans(s49, s28)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4519, 4517])).
% 0.89/0.97 tff(4521,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s28)) | (~always3(s49)) | always3(s28))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4522,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s28) | (~trans(s49, s28))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 0.89/0.97 tff(4523,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4522, 2500, 81, 3667, 4516])).
% 0.89/0.97 tff(4524,plain,((~trans(s49, s28)) | (~always3(s49)) | always3(s28)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4525,plain,
% 0.89/0.97 ((~trans(s49, s28)) | always3(s28)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4524, 3665])).
% 0.89/0.97 tff(4526,plain,
% 0.89/0.97 (~trans(s49, s28)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4525, 822])).
% 0.89/0.97 tff(4527,assumption,(~always3(s33)), introduced(assumption)).
% 0.89/0.97 tff(4528,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s33) | (~trans(s49, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s33) | (~trans(s49, s33)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4529,plain,
% 0.89/0.97 (((~trans(s49, s33)) | (~always3(s49)) | always3(s33)) <=> ((~always3(s49)) | always3(s33) | (~trans(s49, s33)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4530,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s33)) | (~always3(s49)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s33) | (~trans(s49, s33))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4529])).
% 0.89/0.97 tff(4531,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s33)) | (~always3(s49)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s33) | (~trans(s49, s33)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4530, 4528])).
% 0.89/0.97 tff(4532,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s33)) | (~always3(s49)) | always3(s33))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4533,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s33) | (~trans(s49, s33))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 0.89/0.97 tff(4534,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4533, 2522, 81, 3667, 4527])).
% 0.89/0.97 tff(4535,plain,((~trans(s49, s33)) | (~always3(s49)) | always3(s33)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4536,plain,
% 0.89/0.97 ((~trans(s49, s33)) | always3(s33)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4535, 3665])).
% 0.89/0.97 tff(4537,plain,
% 0.89/0.97 (~trans(s49, s33)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4536, 762])).
% 0.89/0.97 tff(4538,assumption,(~trans(s49, s5)), introduced(assumption)).
% 0.89/0.97 tff(4539,assumption,(~trans(s49, s13)), introduced(assumption)).
% 0.89/0.97 tff(4540,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s37) | (~trans(s49, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s37) | (~trans(s49, s37)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4541,plain,
% 0.89/0.97 (((~trans(s49, s37)) | (~always3(s49)) | always3(s37)) <=> ((~always3(s49)) | always3(s37) | (~trans(s49, s37)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4542,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s37)) | (~always3(s49)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s37) | (~trans(s49, s37))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4541])).
% 0.89/0.97 tff(4543,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s37)) | (~always3(s49)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s37) | (~trans(s49, s37)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4542, 4540])).
% 0.89/0.97 tff(4544,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s37)) | (~always3(s49)) | always3(s37))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4545,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s37) | (~trans(s49, s37))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 0.89/0.97 tff(4546,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4545, 2621, 81, 3667, 3520])).
% 0.89/0.97 tff(4547,plain,((~trans(s49, s37)) | (~always3(s49)) | always3(s37)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4548,plain,
% 0.89/0.97 ((~trans(s49, s37)) | always3(s37)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4547, 3665])).
% 0.89/0.97 tff(4549,plain,
% 0.89/0.97 (~trans(s49, s37)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4548, 725])).
% 0.89/0.97 tff(4550,assumption,(~always3(s35)), introduced(assumption)).
% 0.89/0.97 tff(4551,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s35) | (~trans(s49, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s35) | (~trans(s49, s35)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4552,plain,
% 0.89/0.97 (((~trans(s49, s35)) | (~always3(s49)) | always3(s35)) <=> ((~always3(s49)) | always3(s35) | (~trans(s49, s35)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4553,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s35)) | (~always3(s49)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s35) | (~trans(s49, s35))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4552])).
% 0.89/0.97 tff(4554,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s35)) | (~always3(s49)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s35) | (~trans(s49, s35)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4553, 4551])).
% 0.89/0.97 tff(4555,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s35)) | (~always3(s49)) | always3(s35))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4556,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s35) | (~trans(s49, s35))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 0.89/0.97 tff(4557,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4556, 2577, 81, 3667, 4550])).
% 0.89/0.97 tff(4558,plain,((~trans(s49, s35)) | (~always3(s49)) | always3(s35)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4559,plain,
% 0.89/0.97 ((~trans(s49, s35)) | always3(s35)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4558, 3665])).
% 0.89/0.97 tff(4560,plain,
% 0.89/0.97 (~trans(s49, s35)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4559, 738])).
% 0.89/0.97 tff(4561,assumption,(~always3(s18)), introduced(assumption)).
% 0.89/0.97 tff(4562,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s18) | (~trans(s49, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s18) | (~trans(s49, s18)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4563,plain,
% 0.89/0.97 (((~trans(s49, s18)) | (~always3(s49)) | always3(s18)) <=> ((~always3(s49)) | always3(s18) | (~trans(s49, s18)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4564,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s18)) | (~always3(s49)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s18) | (~trans(s49, s18))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4563])).
% 0.89/0.97 tff(4565,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s18)) | (~always3(s49)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s18) | (~trans(s49, s18)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4564, 4562])).
% 0.89/0.97 tff(4566,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s18)) | (~always3(s49)) | always3(s18))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4567,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s18) | (~trans(s49, s18))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 0.89/0.97 tff(4568,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4567, 2632, 81, 3667, 4561])).
% 0.89/0.97 tff(4569,plain,((~trans(s49, s18)) | (~always3(s49)) | always3(s18)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4570,plain,
% 0.89/0.97 ((~trans(s49, s18)) | always3(s18)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4569, 3665])).
% 0.89/0.97 tff(4571,plain,
% 0.89/0.97 (~trans(s49, s18)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4570, 898])).
% 0.89/0.97 tff(4572,assumption,(~always3(s19)), introduced(assumption)).
% 0.89/0.97 tff(4573,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s19) | (~trans(s49, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s19) | (~trans(s49, s19)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4574,plain,
% 0.89/0.97 (((~trans(s49, s19)) | (~always3(s49)) | always3(s19)) <=> ((~always3(s49)) | always3(s19) | (~trans(s49, s19)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4575,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s19)) | (~always3(s49)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s19) | (~trans(s49, s19))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4574])).
% 0.89/0.97 tff(4576,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s19)) | (~always3(s49)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s19) | (~trans(s49, s19)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4575, 4573])).
% 0.89/0.97 tff(4577,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s19)) | (~always3(s49)) | always3(s19))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4578,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s19) | (~trans(s49, s19))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 0.89/0.97 tff(4579,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4578, 2610, 81, 3667, 4572])).
% 0.89/0.97 tff(4580,plain,((~trans(s49, s19)) | (~always3(s49)) | always3(s19)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4581,plain,
% 0.89/0.97 ((~trans(s49, s19)) | always3(s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4580, 3665])).
% 0.89/0.97 tff(4582,plain,
% 0.89/0.97 (~trans(s49, s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4581, 897])).
% 0.89/0.97 tff(4583,assumption,(~always3(s43)), introduced(assumption)).
% 0.89/0.97 tff(4584,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s43) | (~trans(s49, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s43) | (~trans(s49, s43)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4585,plain,
% 0.89/0.97 (((~trans(s49, s43)) | (~always3(s49)) | always3(s43)) <=> ((~always3(s49)) | always3(s43) | (~trans(s49, s43)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4586,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s43)) | (~always3(s49)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s43) | (~trans(s49, s43))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4585])).
% 0.89/0.97 tff(4587,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s43)) | (~always3(s49)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s43) | (~trans(s49, s43)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4586, 4584])).
% 0.89/0.97 tff(4588,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s43)) | (~always3(s49)) | always3(s43))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4589,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s43) | (~trans(s49, s43))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4588, 4587])).
% 0.89/0.97 tff(4590,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4589, 2250, 81, 3667, 4583])).
% 0.89/0.97 tff(4591,plain,((~trans(s49, s43)) | (~always3(s49)) | always3(s43)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4592,plain,
% 0.89/0.97 ((~trans(s49, s43)) | always3(s43)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4591, 3665])).
% 0.89/0.97 tff(4593,plain,
% 0.89/0.97 (~trans(s49, s43)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4592, 653])).
% 0.89/0.97 tff(4594,assumption,(~always3(s44)), introduced(assumption)).
% 0.89/0.97 tff(4595,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s44) | (~trans(s49, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s44) | (~trans(s49, s44)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4596,plain,
% 0.89/0.97 (((~trans(s49, s44)) | (~always3(s49)) | always3(s44)) <=> ((~always3(s49)) | always3(s44) | (~trans(s49, s44)))),
% 0.89/0.97 inference(rewrite,[status(thm)],[])).
% 0.89/0.97 tff(4597,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s44)) | (~always3(s49)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s44) | (~trans(s49, s44))))),
% 0.89/0.97 inference(monotonicity,[status(thm)],[4596])).
% 0.89/0.97 tff(4598,plain,
% 0.89/0.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s44)) | (~always3(s49)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s44) | (~trans(s49, s44)))),
% 0.89/0.97 inference(transitivity,[status(thm)],[4597, 4595])).
% 0.89/0.97 tff(4599,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s44)) | (~always3(s49)) | always3(s44))),
% 0.89/0.97 inference(quant_inst,[status(thm)],[])).
% 0.89/0.97 tff(4600,plain,
% 0.89/0.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s44) | (~trans(s49, s44))),
% 0.89/0.97 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 0.89/0.97 tff(4601,plain,
% 0.89/0.97 ($false),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4600, 2599, 81, 3667, 4594])).
% 0.89/0.97 tff(4602,plain,((~trans(s49, s44)) | (~always3(s49)) | always3(s44)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.97 tff(4603,plain,
% 0.89/0.97 ((~trans(s49, s44)) | always3(s44)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4602, 3665])).
% 0.89/0.97 tff(4604,plain,
% 0.89/0.97 (~trans(s49, s44)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4603, 652])).
% 0.89/0.97 tff(4605,assumption,(~always3(s41)), introduced(assumption)).
% 0.89/0.97 tff(4606,plain,
% 0.89/0.97 (~always3(s40)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[688, 4605])).
% 0.89/0.97 tff(4607,plain,
% 0.89/0.97 (~always3(s39)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[700, 4606])).
% 0.89/0.97 tff(4608,plain,
% 0.89/0.97 (~always3(s38)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[712, 4607])).
% 0.89/0.97 tff(4609,plain,
% 0.89/0.97 (~always3(s37)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[724, 4608])).
% 0.89/0.97 tff(4610,plain,
% 0.89/0.97 (~always3(s36)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[266, 4609])).
% 0.89/0.97 tff(4611,plain,
% 0.89/0.97 (~always3(s35)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[737, 4610])).
% 0.89/0.97 tff(4612,plain,
% 0.89/0.97 (~always3(s34)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[749, 4611])).
% 0.89/0.97 tff(4613,plain,
% 0.89/0.97 (~always3(s33)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[761, 4612])).
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% 0.89/0.97 inference(unit_resolution,[status(thm)],[4735, 4734])).
% 0.89/0.97 tff(4737,plain,
% 0.89/0.97 (until5(s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3261, 4736])).
% 0.89/0.97 tff(4738,plain,
% 0.89/0.97 (xuntil6(s19) | (~until5(s19))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3269, 1275, 4665])).
% 0.89/0.97 tff(4739,plain,
% 0.89/0.97 (xuntil6(s19)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4738, 4737])).
% 0.89/0.97 tff(4740,plain,
% 0.89/0.97 (until5(s20)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3275, 4739])).
% 0.89/0.97 tff(4741,plain,
% 0.89/0.97 (xuntil6(s20) | (~until5(s20))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3283, 1275, 4664])).
% 0.89/0.97 tff(4742,plain,
% 0.89/0.97 (xuntil6(s20)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4741, 4740])).
% 0.89/0.97 tff(4743,plain,
% 0.89/0.97 (until5(s21)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3289, 4742])).
% 0.89/0.97 tff(4744,plain,
% 0.89/0.97 (xuntil6(s21) | (~until5(s21))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3297, 1275, 4663])).
% 0.89/0.97 tff(4745,plain,
% 0.89/0.97 (xuntil6(s21)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4744, 4743])).
% 0.89/0.97 tff(4746,plain,
% 0.89/0.97 (until5(s22)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3303, 4745])).
% 0.89/0.97 tff(4747,plain,
% 0.89/0.97 (xuntil6(s37)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[3599, 4746, 4609])).
% 0.89/0.97 tff(4748,plain,
% 0.89/0.97 (until5(s38)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[2778, 4747])).
% 0.89/0.97 tff(4749,plain,
% 0.89/0.97 (xuntil6(s38) | (~until5(s38))),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[2772, 1275, 4649])).
% 0.89/0.97 tff(4750,plain,
% 0.89/0.97 (xuntil6(s38)),
% 0.89/0.97 inference(unit_resolution,[status(thm)],[4749, 4748])).
% 0.89/0.98 tff(4751,plain,
% 0.89/0.98 (until5(s39)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[2763, 4750])).
% 0.89/0.98 tff(4752,plain,
% 0.89/0.98 (always3(s49)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3515, 4751, 4682, 4681, 4680, 4679, 4678, 4677, 4676, 4675, 4674, 4673, 4672, 4671, 4670, 4669, 4668, 4667, 4666, 4665, 4664, 4663, 4662, 4661, 4660, 4659, 4658, 4657, 4656, 4655, 4654, 4653, 4652, 4651, 4650, 4649, 4648, 4646])).
% 0.89/0.98 tff(4753,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s41) | (~trans(s49, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s41) | (~trans(s49, s41)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4754,plain,
% 0.89/0.98 (((~trans(s49, s41)) | (~always3(s49)) | always3(s41)) <=> ((~always3(s49)) | always3(s41) | (~trans(s49, s41)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4755,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s41)) | (~always3(s49)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s41) | (~trans(s49, s41))))),
% 0.89/0.98 inference(monotonicity,[status(thm)],[4754])).
% 0.89/0.98 tff(4756,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s41)) | (~always3(s49)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s41) | (~trans(s49, s41)))),
% 0.89/0.98 inference(transitivity,[status(thm)],[4755, 4753])).
% 0.89/0.98 tff(4757,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s41)) | (~always3(s49)) | always3(s41))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4758,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s41) | (~trans(s49, s41))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4757, 4756])).
% 0.89/0.98 tff(4759,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4758, 2643, 81, 4752, 4605])).
% 0.89/0.98 tff(4760,plain,((~trans(s49, s41)) | always3(s41)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(4761,plain,
% 0.89/0.98 (~trans(s49, s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4760, 677])).
% 0.89/0.98 tff(4762,assumption,(~always3(s26)), introduced(assumption)).
% 0.89/0.98 tff(4763,assumption,(trans(s49, s26)), introduced(assumption)).
% 0.89/0.98 tff(4764,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s26) | (~trans(s49, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s26) | (~trans(s49, s26)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4765,plain,
% 0.89/0.98 (((~trans(s49, s26)) | (~always3(s49)) | always3(s26)) <=> ((~always3(s49)) | always3(s26) | (~trans(s49, s26)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4766,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s26)) | (~always3(s49)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s26) | (~trans(s49, s26))))),
% 0.89/0.98 inference(monotonicity,[status(thm)],[4765])).
% 0.89/0.98 tff(4767,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s26)) | (~always3(s49)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s26) | (~trans(s49, s26)))),
% 0.89/0.98 inference(transitivity,[status(thm)],[4766, 4764])).
% 0.89/0.98 tff(4768,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s26)) | (~always3(s49)) | always3(s26))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4769,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s26) | (~trans(s49, s26))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4768, 4767])).
% 0.89/0.98 tff(4770,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4769, 4763, 81, 3667, 4762])).
% 0.89/0.98 tff(4771,plain,((~trans(s49, s26)) | (~always3(s49)) | always3(s26)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(4772,plain,
% 0.89/0.98 ((~trans(s49, s26)) | always3(s26)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4771, 3665])).
% 0.89/0.98 tff(4773,plain,
% 0.89/0.98 (~trans(s49, s26)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4772, 846])).
% 0.89/0.98 tff(4774,plain,
% 0.89/0.98 (~node4(s42)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1330, 67, 665])).
% 0.89/0.98 tff(4775,plain,
% 0.89/0.98 (~node4(s38)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1111, 67, 713])).
% 0.89/0.98 tff(4776,plain,
% 0.89/0.98 (~always3(s20)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[551, 4136])).
% 0.89/0.98 tff(4777,plain,
% 0.89/0.98 (~node4(s20)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[539, 67, 4776])).
% 0.89/0.98 tff(4778,plain,
% 0.89/0.98 (~node4(s21)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[355, 67, 4136])).
% 0.89/0.98 tff(4779,assumption,(~xuntil6(s21)), introduced(assumption)).
% 0.89/0.98 tff(4780,plain,
% 0.89/0.98 (node4(s21) | (~until5(s21))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3297, 1275, 4779])).
% 0.89/0.98 tff(4781,plain,
% 0.89/0.98 (~until5(s21)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4780, 4778])).
% 0.89/0.98 tff(4782,plain,
% 0.89/0.98 (~xuntil6(s20)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3289, 4781])).
% 0.89/0.98 tff(4783,plain,
% 0.89/0.98 (~until5(s20)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3283, 1275, 4782, 4777])).
% 0.89/0.98 tff(4784,plain,
% 0.89/0.98 (~xuntil6(s19)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3275, 4783])).
% 0.89/0.98 tff(4785,assumption,(node4(s19)), introduced(assumption)).
% 0.89/0.98 tff(4786,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4787,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4788,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4787, 4786])).
% 0.89/0.98 tff(4789,plain,
% 0.89/0.98 (m_main_v_request(s19)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4788, 20, 4785])).
% 0.89/0.98 tff(4790,plain,
% 0.89/0.98 (always3(s19)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1202, 67, 4785])).
% 0.89/0.98 tff(4791,plain,
% 0.89/0.98 (always3(s20)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[896, 4790])).
% 0.89/0.98 tff(4792,plain,
% 0.89/0.98 (~m_main_v_state(s20, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[568, 93, 4791])).
% 0.89/0.98 tff(4793,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4794,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4795,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4794, 4793])).
% 0.89/0.98 tff(4796,plain,
% 0.89/0.98 (node2(s19, s20)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4795, 7, 892])).
% 0.89/0.98 tff(4797,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4798,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4799,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 0.89/0.98 tff(4800,plain,
% 0.89/0.98 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4799, 52, 4796])).
% 0.89/0.98 tff(4801,plain,
% 0.89/0.98 (~m_main_v_state(s19, c_ready)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4800, 4792, 4789])).
% 0.89/0.98 tff(4802,plain,
% 0.89/0.98 (~m_main_v_state(s19, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[466, 93, 4790])).
% 0.89/0.98 tff(4803,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4804,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4805,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4804, 4803])).
% 0.89/0.98 tff(4806,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4805, 155, 4802, 4801])).
% 0.89/0.98 tff(4807,plain,(~node4(s19)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(4808,plain,
% 0.89/0.98 (xuntil6(s19) | (~until5(s19))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3269, 1275, 4807])).
% 0.89/0.98 tff(4809,plain,
% 0.89/0.98 (~until5(s19)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4808, 4784])).
% 0.89/0.98 tff(4810,plain,
% 0.89/0.98 (~xuntil6(s18)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3261, 4809])).
% 0.89/0.98 tff(4811,plain,
% 0.89/0.98 (~always3(s19)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[896, 4776])).
% 0.89/0.98 tff(4812,plain,
% 0.89/0.98 (~always3(s18)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[459, 4811])).
% 0.89/0.98 tff(4813,plain,
% 0.89/0.98 (~node4(s18)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[447, 67, 4812])).
% 0.89/0.98 tff(4814,plain,
% 0.89/0.98 (xuntil6(s18) | (~until5(s18))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3255, 1275, 4813])).
% 0.89/0.98 tff(4815,plain,
% 0.89/0.98 (~until5(s18)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4814, 4810])).
% 0.89/0.98 tff(4816,plain,
% 0.89/0.98 (~xuntil6(s17)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3247, 4815])).
% 0.89/0.98 tff(4817,plain,
% 0.89/0.98 (~always3(s17)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[345, 4812])).
% 0.89/0.98 tff(4818,plain,
% 0.89/0.98 (~node4(s17)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[299, 67, 4817])).
% 0.89/0.98 tff(4819,plain,
% 0.89/0.98 (xuntil6(s17) | (~until5(s17))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3241, 1275, 4818])).
% 0.89/0.98 tff(4820,plain,
% 0.89/0.98 (~until5(s17)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4819, 4816])).
% 0.89/0.98 tff(4821,plain,
% 0.89/0.98 (~xuntil6(s16)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3233, 4820])).
% 0.89/0.98 tff(4822,plain,
% 0.89/0.98 (~always3(s16)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[910, 4817])).
% 0.89/0.98 tff(4823,plain,
% 0.89/0.98 (~node4(s16)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1208, 67, 4822])).
% 0.89/0.98 tff(4824,plain,
% 0.89/0.98 (xuntil6(s16) | (~until5(s16))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3227, 1275, 4823])).
% 0.89/0.98 tff(4825,plain,
% 0.89/0.98 (~until5(s16)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4824, 4821])).
% 0.89/0.98 tff(4826,plain,
% 0.89/0.98 (~xuntil6(s15)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3219, 4825])).
% 0.89/0.98 tff(4827,plain,
% 0.89/0.98 (~always3(s15)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[922, 4822])).
% 0.89/0.98 tff(4828,plain,
% 0.89/0.98 (~node4(s15)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1212, 67, 4827])).
% 0.89/0.98 tff(4829,plain,
% 0.89/0.98 (xuntil6(s15) | (~until5(s15))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3213, 1275, 4828])).
% 0.89/0.98 tff(4830,plain,
% 0.89/0.98 (~until5(s15)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4829, 4826])).
% 0.89/0.98 tff(4831,plain,
% 0.89/0.98 (~xuntil6(s14)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3205, 4830])).
% 0.89/0.98 tff(4832,plain,
% 0.89/0.98 (~always3(s14)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[934, 4827])).
% 0.89/0.98 tff(4833,plain,
% 0.89/0.98 (~node4(s14)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1216, 67, 4832])).
% 0.89/0.98 tff(4834,plain,
% 0.89/0.98 (xuntil6(s14) | (~until5(s14))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3199, 1275, 4833])).
% 0.89/0.98 tff(4835,plain,
% 0.89/0.98 (~until5(s14)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4834, 4831])).
% 0.89/0.98 tff(4836,plain,
% 0.89/0.98 (~xuntil6(s13)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3191, 4835])).
% 0.89/0.98 tff(4837,plain,
% 0.89/0.98 (~always3(s13)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[946, 4832])).
% 0.89/0.98 tff(4838,plain,
% 0.89/0.98 (~node4(s13)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1220, 67, 4837])).
% 0.89/0.98 tff(4839,plain,
% 0.89/0.98 (xuntil6(s13) | (~until5(s13))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3185, 1275, 4838])).
% 0.89/0.98 tff(4840,plain,
% 0.89/0.98 (~until5(s13)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4839, 4836])).
% 0.89/0.98 tff(4841,plain,
% 0.89/0.98 (~xuntil6(s12)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3177, 4840])).
% 0.89/0.98 tff(4842,plain,
% 0.89/0.98 (~always3(s12)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[958, 4837])).
% 0.89/0.98 tff(4843,plain,
% 0.89/0.98 (~node4(s12)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1224, 67, 4842])).
% 0.89/0.98 tff(4844,plain,
% 0.89/0.98 (xuntil6(s12) | (~until5(s12))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3171, 1275, 4843])).
% 0.89/0.98 tff(4845,plain,
% 0.89/0.98 (~until5(s12)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4844, 4841])).
% 0.89/0.98 tff(4846,plain,
% 0.89/0.98 (~xuntil6(s11)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3163, 4845])).
% 0.89/0.98 tff(4847,plain,
% 0.89/0.98 (~always3(s11)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[416, 4842])).
% 0.89/0.98 tff(4848,plain,
% 0.89/0.98 (~node4(s11)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[404, 67, 4847])).
% 0.89/0.98 tff(4849,plain,
% 0.89/0.98 (xuntil6(s11) | (~until5(s11))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3157, 1275, 4848])).
% 0.89/0.98 tff(4850,plain,
% 0.89/0.98 (~until5(s11)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4849, 4846])).
% 0.89/0.98 tff(4851,plain,
% 0.89/0.98 (~always3(s10)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[121, 4847])).
% 0.89/0.98 tff(4852,plain,
% 0.89/0.98 (~always3(s9)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[180, 4851])).
% 0.89/0.98 tff(4853,plain,
% 0.89/0.98 (~always3(s8)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[973, 4852])).
% 0.89/0.98 tff(4854,plain,
% 0.89/0.98 (~always3(s7)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[985, 4853])).
% 0.89/0.98 tff(4855,plain,
% 0.89/0.98 (~always3(s6)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[997, 4854])).
% 0.89/0.98 tff(4856,plain,
% 0.89/0.98 (~always3(s5)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1009, 4855])).
% 0.89/0.98 tff(4857,plain,
% 0.89/0.98 (~always3(s4)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1021, 4856])).
% 0.89/0.98 tff(4858,plain,
% 0.89/0.98 (~always3(s3)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1033, 4857])).
% 0.89/0.98 tff(4859,plain,
% 0.89/0.98 (~always3(s2)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1045, 4858])).
% 0.89/0.98 tff(4860,plain,
% 0.89/0.98 (~always3(s1)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[223, 4859])).
% 0.89/0.98 tff(4861,plain,
% 0.89/0.98 (~node4(s1)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[211, 67, 4860])).
% 0.89/0.98 tff(4862,plain,
% 0.89/0.98 (~always3(s0)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[85, 4860])).
% 0.89/0.98 tff(4863,plain,
% 0.89/0.98 (~node4(s0)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[70, 67, 4862])).
% 0.89/0.98 tff(4864,plain,
% 0.89/0.98 (xuntil6(s0)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3006, 4863])).
% 0.89/0.98 tff(4865,plain,
% 0.89/0.98 (until5(s1)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3011, 4864])).
% 0.89/0.98 tff(4866,plain,
% 0.89/0.98 (xuntil6(s1)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3018, 1275, 4865, 4861])).
% 0.89/0.98 tff(4867,plain,
% 0.89/0.98 (until5(s2)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3023, 4866])).
% 0.89/0.98 tff(4868,plain,
% 0.89/0.98 (~node4(s2)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1255, 67, 4859])).
% 0.89/0.98 tff(4869,plain,
% 0.89/0.98 (xuntil6(s2) | (~until5(s2))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3031, 1275, 4868])).
% 0.89/0.98 tff(4870,plain,
% 0.89/0.98 (xuntil6(s2)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4869, 4867])).
% 0.89/0.98 tff(4871,plain,
% 0.89/0.98 (until5(s3)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3037, 4870])).
% 0.89/0.98 tff(4872,plain,
% 0.89/0.98 (~node4(s3)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1251, 67, 4858])).
% 0.89/0.98 tff(4873,plain,
% 0.89/0.98 (xuntil6(s3) | (~until5(s3))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3045, 1275, 4872])).
% 0.89/0.98 tff(4874,plain,
% 0.89/0.98 (xuntil6(s3)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4873, 4871])).
% 0.89/0.98 tff(4875,plain,
% 0.89/0.98 (until5(s4)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3051, 4874])).
% 0.89/0.98 tff(4876,plain,
% 0.89/0.98 (~node4(s4)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1247, 67, 4857])).
% 0.89/0.98 tff(4877,plain,
% 0.89/0.98 (xuntil6(s4) | (~until5(s4))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3059, 1275, 4876])).
% 0.89/0.98 tff(4878,plain,
% 0.89/0.98 (xuntil6(s4)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4877, 4875])).
% 0.89/0.98 tff(4879,plain,
% 0.89/0.98 (until5(s5)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3065, 4878])).
% 0.89/0.98 tff(4880,plain,
% 0.89/0.98 (~node4(s5)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1243, 67, 4856])).
% 0.89/0.98 tff(4881,plain,
% 0.89/0.98 (xuntil6(s5) | (~until5(s5))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3073, 1275, 4880])).
% 0.89/0.98 tff(4882,plain,
% 0.89/0.98 (xuntil6(s5)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4881, 4879])).
% 0.89/0.98 tff(4883,plain,
% 0.89/0.98 (until5(s6)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3079, 4882])).
% 0.89/0.98 tff(4884,plain,
% 0.89/0.98 (~node4(s6)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1239, 67, 4855])).
% 0.89/0.98 tff(4885,plain,
% 0.89/0.98 (xuntil6(s6) | (~until5(s6))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3087, 1275, 4884])).
% 0.89/0.98 tff(4886,plain,
% 0.89/0.98 (xuntil6(s6)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4885, 4883])).
% 0.89/0.98 tff(4887,plain,
% 0.89/0.98 (until5(s7)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3093, 4886])).
% 0.89/0.98 tff(4888,plain,
% 0.89/0.98 (~node4(s7)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1235, 67, 4854])).
% 0.89/0.98 tff(4889,plain,
% 0.89/0.98 (xuntil6(s7) | (~until5(s7))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3101, 1275, 4888])).
% 0.89/0.98 tff(4890,plain,
% 0.89/0.98 (xuntil6(s7)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4889, 4887])).
% 0.89/0.98 tff(4891,plain,
% 0.89/0.98 (until5(s8)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3107, 4890])).
% 0.89/0.98 tff(4892,plain,
% 0.89/0.98 (~node4(s8)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1231, 67, 4853])).
% 0.89/0.98 tff(4893,plain,
% 0.89/0.98 (xuntil6(s8) | (~until5(s8))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3115, 1275, 4892])).
% 0.89/0.98 tff(4894,plain,
% 0.89/0.98 (xuntil6(s8)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4893, 4891])).
% 0.89/0.98 tff(4895,plain,
% 0.89/0.98 (until5(s9)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3121, 4894])).
% 0.89/0.98 tff(4896,plain,
% 0.89/0.98 (~node4(s9)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[168, 67, 4852])).
% 0.89/0.98 tff(4897,plain,
% 0.89/0.98 (xuntil6(s9) | (~until5(s9))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3129, 1275, 4896])).
% 0.89/0.98 tff(4898,plain,
% 0.89/0.98 (xuntil6(s9)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4897, 4895])).
% 0.89/0.98 tff(4899,plain,
% 0.89/0.98 (until5(s10)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3135, 4898])).
% 0.89/0.98 tff(4900,plain,
% 0.89/0.98 (~node4(s10)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[109, 67, 4851])).
% 0.89/0.98 tff(4901,plain,
% 0.89/0.98 (xuntil6(s10) | (~until5(s10))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3143, 1275, 4900])).
% 0.89/0.98 tff(4902,plain,
% 0.89/0.98 (xuntil6(s10)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4901, 4899])).
% 0.89/0.98 tff(4903,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3149, 4902, 4850])).
% 0.89/0.98 tff(4904,plain,(always3(s21) | xuntil6(s21)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(4905,plain,
% 0.89/0.98 (xuntil6(s21)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4904, 884])).
% 0.89/0.98 tff(4906,plain,
% 0.89/0.98 (until5(s22)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3303, 4905])).
% 0.89/0.98 tff(4907,plain,
% 0.89/0.98 (xuntil6(s37)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[3599, 4906, 725])).
% 0.89/0.98 tff(4908,plain,
% 0.89/0.98 (until5(s38)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[2778, 4907])).
% 0.89/0.98 tff(4909,plain,
% 0.89/0.98 (xuntil6(s38) | node4(s38)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[2772, 1275, 4908])).
% 0.89/0.98 tff(4910,plain,
% 0.89/0.98 (xuntil6(s38)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4909, 4775])).
% 0.89/0.98 tff(4911,plain,
% 0.89/0.98 (until5(s39)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[2763, 4910])).
% 0.89/0.98 tff(4912,assumption,(node4(s39)), introduced(assumption)).
% 0.89/0.98 tff(4913,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4914,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4915,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 0.89/0.98 tff(4916,plain,
% 0.89/0.98 (m_main_v_request(s39)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4915, 20, 4912])).
% 0.89/0.98 tff(4917,plain,
% 0.89/0.98 (always3(s39)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1263, 67, 4912])).
% 0.89/0.98 tff(4918,plain,
% 0.89/0.98 (always3(s40)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[700, 4917])).
% 0.89/0.98 tff(4919,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4920,plain,
% 0.89/0.98 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4921,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s40)) | (~m_main_v_state(s40, c_busy))))),
% 0.89/0.98 inference(monotonicity,[status(thm)],[4920])).
% 0.89/0.98 tff(4922,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 0.89/0.98 inference(transitivity,[status(thm)],[4921, 4919])).
% 0.89/0.98 tff(4923,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4924,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 0.89/0.98 tff(4925,plain,
% 0.89/0.98 (~m_main_v_state(s40, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4924, 93, 4918])).
% 0.89/0.98 tff(4926,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4927,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4928,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4927, 4926])).
% 0.89/0.98 tff(4929,plain,
% 0.89/0.98 (node2(s39, s40)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4928, 7, 696])).
% 0.89/0.98 tff(4930,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4931,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4932,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4931, 4930])).
% 0.89/0.98 tff(4933,plain,
% 0.89/0.98 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4932, 52, 4929])).
% 0.89/0.98 tff(4934,plain,
% 0.89/0.98 (~m_main_v_state(s39, c_ready)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4933, 4925, 4916])).
% 0.89/0.98 tff(4935,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4936,plain,
% 0.89/0.98 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4937,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s39)) | (~m_main_v_state(s39, c_busy))))),
% 0.89/0.98 inference(monotonicity,[status(thm)],[4936])).
% 0.89/0.98 tff(4938,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 0.89/0.98 inference(transitivity,[status(thm)],[4937, 4935])).
% 0.89/0.98 tff(4939,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4940,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 0.89/0.98 tff(4941,plain,
% 0.89/0.98 (~m_main_v_state(s39, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4940, 93, 4917])).
% 0.89/0.98 tff(4942,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4943,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4944,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4943, 4942])).
% 0.89/0.98 tff(4945,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4944, 155, 4941, 4934])).
% 0.89/0.98 tff(4946,plain,(~node4(s39)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(4947,plain,
% 0.89/0.98 (xuntil6(s39) | (~until5(s39))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1281, 1275, 4946])).
% 0.89/0.98 tff(4948,plain,
% 0.89/0.98 (xuntil6(s39)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4947, 4911])).
% 0.89/0.98 tff(4949,plain,
% 0.89/0.98 (until5(s40)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1297, 4948])).
% 0.89/0.98 tff(4950,assumption,(node4(s40)), introduced(assumption)).
% 0.89/0.98 tff(4951,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4952,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4953,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4952, 4951])).
% 0.89/0.98 tff(4954,plain,
% 0.89/0.98 (m_main_v_request(s40)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4953, 20, 4950])).
% 0.89/0.98 tff(4955,plain,
% 0.89/0.98 (always3(s40)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1259, 67, 4950])).
% 0.89/0.98 tff(4956,plain,
% 0.89/0.98 (always3(s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[688, 4955])).
% 0.89/0.98 tff(4957,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4958,plain,
% 0.89/0.98 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4959,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s41)) | (~m_main_v_state(s41, c_busy))))),
% 0.89/0.98 inference(monotonicity,[status(thm)],[4958])).
% 0.89/0.98 tff(4960,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 0.89/0.98 inference(transitivity,[status(thm)],[4959, 4957])).
% 0.89/0.98 tff(4961,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4962,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 0.89/0.98 tff(4963,plain,
% 0.89/0.98 (~m_main_v_state(s41, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4962, 93, 4956])).
% 0.89/0.98 tff(4964,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4965,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4966,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4965, 4964])).
% 0.89/0.98 tff(4967,plain,
% 0.89/0.98 (node2(s40, s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4966, 7, 684])).
% 0.89/0.98 tff(4968,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4969,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4970,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 0.89/0.98 tff(4971,plain,
% 0.89/0.98 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4970, 52, 4967])).
% 0.89/0.98 tff(4972,plain,
% 0.89/0.98 (~m_main_v_state(s40, c_ready)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4971, 4963, 4954])).
% 0.89/0.98 tff(4973,plain,
% 0.89/0.98 (~m_main_v_state(s40, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4924, 93, 4955])).
% 0.89/0.98 tff(4974,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4975,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4976,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4975, 4974])).
% 0.89/0.98 tff(4977,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4976, 155, 4973, 4972])).
% 0.89/0.98 tff(4978,plain,(~node4(s40)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(4979,plain,
% 0.89/0.98 (xuntil6(s40) | (~until5(s40))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1304, 1275, 4978])).
% 0.89/0.98 tff(4980,plain,
% 0.89/0.98 (xuntil6(s40)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4979, 4949])).
% 0.89/0.98 tff(4981,plain,
% 0.89/0.98 (until5(s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1309, 4980])).
% 0.89/0.98 tff(4982,assumption,(node4(s41)), introduced(assumption)).
% 0.89/0.98 tff(4983,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4984,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4985,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 0.89/0.98 tff(4986,plain,
% 0.89/0.98 (m_main_v_request(s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4985, 20, 4982])).
% 0.89/0.98 tff(4987,plain,
% 0.89/0.98 (always3(s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1313, 67, 4982])).
% 0.89/0.98 tff(4988,plain,
% 0.89/0.98 (always3(s42)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[676, 4987])).
% 0.89/0.98 tff(4989,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4990,plain,
% 0.89/0.98 (((~m_main_v_state(s42, c_busy)) | (~always3(s42))) <=> ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4991,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s42)) | (~m_main_v_state(s42, c_busy))))),
% 0.89/0.98 inference(monotonicity,[status(thm)],[4990])).
% 0.89/0.98 tff(4992,plain,
% 0.89/0.98 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 0.89/0.98 inference(transitivity,[status(thm)],[4991, 4989])).
% 0.89/0.98 tff(4993,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4994,plain,
% 0.89/0.98 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 0.89/0.98 tff(4995,plain,
% 0.89/0.98 (~m_main_v_state(s42, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4994, 93, 4988])).
% 0.89/0.98 tff(4996,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(4997,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(4998,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 0.89/0.98 tff(4999,plain,
% 0.89/0.98 (node2(s41, s42)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4998, 7, 672])).
% 0.89/0.98 tff(5000,plain,
% 0.89/0.98 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(5001,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(5002,plain,
% 0.89/0.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[5001, 5000])).
% 0.89/0.98 tff(5003,plain,
% 0.89/0.98 ((~m_main_v_state(s41, c_ready)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[5002, 52, 4999])).
% 0.89/0.98 tff(5004,plain,
% 0.89/0.98 (~m_main_v_state(s41, c_ready)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[5003, 4995, 4986])).
% 0.89/0.98 tff(5005,plain,
% 0.89/0.98 (~m_main_v_state(s41, c_busy)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[4962, 93, 4987])).
% 0.89/0.98 tff(5006,plain,
% 0.89/0.98 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready))),
% 0.89/0.98 inference(rewrite,[status(thm)],[])).
% 0.89/0.98 tff(5007,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready))),
% 0.89/0.98 inference(quant_inst,[status(thm)],[])).
% 0.89/0.98 tff(5008,plain,
% 0.89/0.98 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready)),
% 0.89/0.98 inference(modus_ponens,[status(thm)],[5007, 5006])).
% 0.89/0.98 tff(5009,plain,
% 0.89/0.98 ($false),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[5008, 155, 5005, 5004])).
% 0.89/0.98 tff(5010,plain,(~node4(s41)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.98 tff(5011,plain,
% 0.89/0.98 (xuntil6(s41) | (~until5(s41))),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1320, 1275, 5010])).
% 0.89/0.98 tff(5012,plain,
% 0.89/0.98 (xuntil6(s41)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[5011, 4981])).
% 0.89/0.98 tff(5013,plain,
% 0.89/0.98 (until5(s42)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1326, 5012])).
% 0.89/0.98 tff(5014,plain,
% 0.89/0.98 (xuntil6(s42)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1337, 1275, 5013, 4774])).
% 0.89/0.98 tff(5015,plain,
% 0.89/0.98 (until5(s43)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[1343, 5014])).
% 0.89/0.98 tff(5016,plain,
% 0.89/0.98 (~node4(s43)),
% 0.89/0.98 inference(unit_resolution,[status(thm)],[593, 67, 653])).
% 0.89/0.99 tff(5017,plain,
% 0.89/0.99 (xuntil6(s43) | (~until5(s43))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1351, 1275, 5016])).
% 0.89/0.99 tff(5018,plain,
% 0.89/0.99 (xuntil6(s43)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5017, 5015])).
% 0.89/0.99 tff(5019,plain,
% 0.89/0.99 (until5(s44)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1357, 5018])).
% 0.89/0.99 tff(5020,plain,
% 0.89/0.99 (~node4(s44)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1361, 67, 652])).
% 0.89/0.99 tff(5021,plain,
% 0.89/0.99 (xuntil6(s44) | (~until5(s44))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1368, 1275, 5020])).
% 0.89/0.99 tff(5022,plain,
% 0.89/0.99 (xuntil6(s44)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5021, 5019])).
% 0.89/0.99 tff(5023,plain,
% 0.89/0.99 (until5(s45)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1374, 5022])).
% 0.89/0.99 tff(5024,assumption,(node4(s45)), introduced(assumption)).
% 0.89/0.99 tff(5025,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5026,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5027,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 0.89/0.99 tff(5028,plain,
% 0.89/0.99 (m_main_v_request(s45)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5027, 20, 5024])).
% 0.89/0.99 tff(5029,plain,
% 0.89/0.99 (always3(s45)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1378, 67, 5024])).
% 0.89/0.99 tff(5030,plain,
% 0.89/0.99 (always3(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1099, 5029])).
% 0.89/0.99 tff(5031,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5032,plain,
% 0.89/0.99 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5033,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s46)) | (~m_main_v_state(s46, c_busy))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5032])).
% 0.89/0.99 tff(5034,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5033, 5031])).
% 0.89/0.99 tff(5035,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5036,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 0.89/0.99 tff(5037,plain,
% 0.89/0.99 (~m_main_v_state(s46, c_busy)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5036, 93, 5030])).
% 0.89/0.99 tff(5038,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5039,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5040,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 0.89/0.99 tff(5041,plain,
% 0.89/0.99 (node2(s45, s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5040, 7, 1095])).
% 0.89/0.99 tff(5042,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5043,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5044,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5043, 5042])).
% 0.89/0.99 tff(5045,plain,
% 0.89/0.99 ((~m_main_v_state(s45, c_ready)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5044, 52, 5041])).
% 0.89/0.99 tff(5046,plain,
% 0.89/0.99 (~m_main_v_state(s45, c_ready)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5045, 5037, 5028])).
% 0.89/0.99 tff(5047,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5048,plain,
% 0.89/0.99 (((~m_main_v_state(s45, c_busy)) | (~always3(s45))) <=> ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5049,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s45)) | (~m_main_v_state(s45, c_busy))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5048])).
% 0.89/0.99 tff(5050,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5049, 5047])).
% 0.89/0.99 tff(5051,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5052,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5051, 5050])).
% 0.89/0.99 tff(5053,plain,
% 0.89/0.99 (~m_main_v_state(s45, c_busy)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5052, 93, 5029])).
% 0.89/0.99 tff(5054,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5055,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5056,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5055, 5054])).
% 0.89/0.99 tff(5057,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5056, 155, 5053, 5046])).
% 0.89/0.99 tff(5058,plain,(~node4(s45)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5059,plain,
% 0.89/0.99 (xuntil6(s45) | (~until5(s45))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1385, 1275, 5058])).
% 0.89/0.99 tff(5060,plain,
% 0.89/0.99 (xuntil6(s45)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5059, 5023])).
% 0.89/0.99 tff(5061,plain,
% 0.89/0.99 (until5(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1391, 5060])).
% 0.89/0.99 tff(5062,plain,
% 0.89/0.99 (~node4(s37)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1154, 67, 725])).
% 0.89/0.99 tff(5063,plain,
% 0.89/0.99 (~node4(s36)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[254, 67, 726])).
% 0.89/0.99 tff(5064,plain,
% 0.89/0.99 (~node4(s35)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1159, 67, 738])).
% 0.89/0.99 tff(5065,plain,
% 0.89/0.99 (~node4(s33)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1163, 67, 762])).
% 0.89/0.99 tff(5066,plain,
% 0.89/0.99 (~node4(s32)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1167, 67, 774])).
% 0.89/0.99 tff(5067,plain,
% 0.89/0.99 (~node4(s31)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1171, 67, 786])).
% 0.89/0.99 tff(5068,plain,
% 0.89/0.99 (~node4(s30)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1175, 67, 798])).
% 0.89/0.99 tff(5069,plain,
% 0.89/0.99 (~node4(s29)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1179, 67, 810])).
% 0.89/0.99 tff(5070,plain,
% 0.89/0.99 (~node4(s28)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1183, 67, 822])).
% 0.89/0.99 tff(5071,plain,
% 0.89/0.99 (~node4(s26)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1187, 67, 846])).
% 0.89/0.99 tff(5072,plain,
% 0.89/0.99 (~node4(s25)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1191, 67, 858])).
% 0.89/0.99 tff(5073,plain,
% 0.89/0.99 (~node4(s24)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[490, 67, 859])).
% 0.89/0.99 tff(5074,plain,
% 0.89/0.99 (~node4(s21)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[355, 67, 884])).
% 0.89/0.99 tff(5075,assumption,(~always3(s46)), introduced(assumption)).
% 0.89/0.99 tff(5076,assumption,(node4(s46)), introduced(assumption)).
% 0.89/0.99 tff(5077,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1395, 67, 5075, 5076])).
% 0.89/0.99 tff(5078,plain,((~node4(s46)) | always3(s46)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5079,plain,
% 0.89/0.99 (~node4(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5078, 5075])).
% 0.89/0.99 tff(5080,assumption,(until5(s46)), introduced(assumption)).
% 0.89/0.99 tff(5081,plain,
% 0.89/0.99 (xuntil6(s46) | node4(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1402, 1275, 5080])).
% 0.89/0.99 tff(5082,plain,
% 0.89/0.99 (xuntil6(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5081, 5079])).
% 0.89/0.99 tff(5083,plain,
% 0.89/0.99 (until5(s47)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1408, 5082])).
% 0.89/0.99 tff(5084,assumption,(node4(s47)), introduced(assumption)).
% 0.89/0.99 tff(5085,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5086,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5087,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5086, 5085])).
% 0.89/0.99 tff(5088,plain,
% 0.89/0.99 (m_main_v_request(s47)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5087, 20, 5084])).
% 0.89/0.99 tff(5089,plain,
% 0.89/0.99 (always3(s47)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1412, 67, 5084])).
% 0.89/0.99 tff(5090,assumption,(~m_main_v_state(s47, c_ready)), introduced(assumption)).
% 0.89/0.99 tff(5091,assumption,(always3(s47)), introduced(assumption)).
% 0.89/0.99 tff(5092,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5093,plain,
% 0.89/0.99 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5094,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s47)) | (~m_main_v_state(s47, c_busy))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5093])).
% 0.89/0.99 tff(5095,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5094, 5092])).
% 0.89/0.99 tff(5096,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5097,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5096, 5095])).
% 0.89/0.99 tff(5098,plain,
% 0.89/0.99 (~m_main_v_state(s47, c_busy)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5097, 93, 5091])).
% 0.89/0.99 tff(5099,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5100,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5101,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 0.89/0.99 tff(5102,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5101, 155, 5098, 5090])).
% 0.89/0.99 tff(5103,plain,(m_main_v_state(s47, c_ready) | (~always3(s47))), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5104,plain,
% 0.89/0.99 (m_main_v_state(s47, c_ready)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5103, 5089])).
% 0.89/0.99 tff(5105,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5106,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5107,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5106, 5105])).
% 0.89/0.99 tff(5108,plain,
% 0.89/0.99 (node2(s47, s48)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5107, 7, 1071])).
% 0.89/0.99 tff(5109,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5110,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5111,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5110, 5109])).
% 0.89/0.99 tff(5112,plain,
% 0.89/0.99 ((~m_main_v_state(s47, c_ready)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5111, 52, 5108])).
% 0.89/0.99 tff(5113,plain,
% 0.89/0.99 (m_main_v_state(s48, c_busy)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5112, 5104, 5088])).
% 0.89/0.99 tff(5114,plain,
% 0.89/0.99 (always3(s48)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1075, 5089])).
% 0.89/0.99 tff(5115,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5116,plain,
% 0.89/0.99 (((~m_main_v_state(s48, c_busy)) | (~always3(s48))) <=> ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5117,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s48)) | (~m_main_v_state(s48, c_busy))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5116])).
% 0.89/0.99 tff(5118,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5117, 5115])).
% 0.89/0.99 tff(5119,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5120,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 0.89/0.99 tff(5121,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5120, 93, 5114, 5113])).
% 0.89/0.99 tff(5122,plain,(~node4(s47)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5123,plain,
% 0.89/0.99 (xuntil6(s47) | (~until5(s47))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1419, 1275, 5122])).
% 0.89/0.99 tff(5124,plain,
% 0.89/0.99 (xuntil6(s47)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5123, 5083])).
% 0.89/0.99 tff(5125,assumption,(~trans(s49, s45)), introduced(assumption)).
% 0.89/0.99 tff(5126,assumption,(~trans(s49, s32)), introduced(assumption)).
% 0.89/0.99 tff(5127,assumption,(~trans(s49, s25)), introduced(assumption)).
% 0.89/0.99 tff(5128,assumption,(~trans(s49, s29)), introduced(assumption)).
% 0.89/0.99 tff(5129,assumption,(~trans(s49, s36)), introduced(assumption)).
% 0.89/0.99 tff(5130,assumption,(~trans(s49, s42)), introduced(assumption)).
% 0.89/0.99 tff(5131,assumption,(~trans(s49, s17)), introduced(assumption)).
% 0.89/0.99 tff(5132,assumption,(~trans(s49, s23)), introduced(assumption)).
% 0.89/0.99 tff(5133,assumption,(~trans(s49, s24)), introduced(assumption)).
% 0.89/0.99 tff(5134,assumption,(~trans(s49, s20)), introduced(assumption)).
% 0.89/0.99 tff(5135,assumption,(~trans(s49, s38)), introduced(assumption)).
% 0.89/0.99 tff(5136,assumption,(~trans(s49, s21)), introduced(assumption)).
% 0.89/0.99 tff(5137,assumption,(~trans(s49, s30)), introduced(assumption)).
% 0.89/0.99 tff(5138,assumption,(~trans(s49, s39)), introduced(assumption)).
% 0.89/0.99 tff(5139,assumption,(~trans(s49, s31)), introduced(assumption)).
% 0.89/0.99 tff(5140,assumption,(~trans(s49, s22)), introduced(assumption)).
% 0.89/0.99 tff(5141,assumption,(~trans(s49, s34)), introduced(assumption)).
% 0.89/0.99 tff(5142,assumption,(~trans(s49, s27)), introduced(assumption)).
% 0.89/0.99 tff(5143,assumption,(~trans(s49, s40)), introduced(assumption)).
% 0.89/0.99 tff(5144,assumption,(~trans(s49, s28)), introduced(assumption)).
% 0.89/0.99 tff(5145,assumption,(~trans(s49, s33)), introduced(assumption)).
% 0.89/0.99 tff(5146,assumption,(~trans(s49, s37)), introduced(assumption)).
% 0.89/0.99 tff(5147,assumption,(~trans(s49, s35)), introduced(assumption)).
% 0.89/0.99 tff(5148,assumption,(~trans(s49, s18)), introduced(assumption)).
% 0.89/0.99 tff(5149,assumption,(~trans(s49, s19)), introduced(assumption)).
% 0.89/0.99 tff(5150,assumption,(~trans(s49, s43)), introduced(assumption)).
% 0.89/0.99 tff(5151,assumption,(~trans(s49, s44)), introduced(assumption)).
% 0.89/0.99 tff(5152,assumption,(~trans(s49, s41)), introduced(assumption)).
% 0.89/0.99 tff(5153,assumption,(~trans(s49, s26)), introduced(assumption)).
% 0.89/0.99 tff(5154,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s46) | (~trans(s49, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s46) | (~trans(s49, s46)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5155,plain,
% 0.89/0.99 (((~trans(s49, s46)) | (~always3(s49)) | always3(s46)) <=> ((~always3(s49)) | always3(s46) | (~trans(s49, s46)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5156,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s46)) | (~always3(s49)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s46) | (~trans(s49, s46))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5155])).
% 0.89/0.99 tff(5157,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s46)) | (~always3(s49)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s46) | (~trans(s49, s46)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5156, 5154])).
% 0.89/0.99 tff(5158,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s46)) | (~always3(s49)) | always3(s46))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5159,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s46) | (~trans(s49, s46))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5158, 5157])).
% 0.89/0.99 tff(5160,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5159, 2178, 81, 3665, 5075])).
% 0.89/0.99 tff(5161,plain,((~trans(s49, s46)) | always3(s46)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5162,plain,
% 0.89/0.99 (~trans(s49, s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5161, 5075])).
% 0.89/0.99 tff(5163,assumption,(~trans(s49, s46)), introduced(assumption)).
% 0.89/0.99 tff(5164,assumption,(m_main_v_request(s49)), introduced(assumption)).
% 0.89/0.99 tff(5165,assumption,(node2(s49, s49)), introduced(assumption)).
% 0.89/0.99 tff(5166,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5167,plain,
% 0.89/0.99 (((~m_main_v_state(s49, c_busy)) | (~always3(s49))) <=> ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5168,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s49)) | (~m_main_v_state(s49, c_busy))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5167])).
% 0.89/0.99 tff(5169,plain,
% 0.89/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5168, 5166])).
% 0.89/0.99 tff(5170,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5171,plain,
% 0.89/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5170, 5169])).
% 0.89/0.99 tff(5172,plain,
% 0.89/0.99 (~m_main_v_state(s49, c_busy)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5171, 93, 3665])).
% 0.89/0.99 tff(5173,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5174,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5175,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5174, 5173])).
% 0.89/0.99 tff(5176,plain,
% 0.89/0.99 (m_main_v_state(s49, c_ready)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5175, 155, 5172])).
% 0.89/0.99 tff(5177,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s49, c_busy) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s49, c_busy) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | (~m_main_v_request(s49)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5178,plain,
% 0.89/0.99 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s49, c_busy) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | (~m_main_v_request(s49)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5179,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s49, c_busy) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | (~m_main_v_request(s49))))),
% 0.89/0.99 inference(monotonicity,[status(thm)],[5178])).
% 0.89/0.99 tff(5180,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s49, c_busy) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | (~m_main_v_request(s49)))),
% 0.89/0.99 inference(transitivity,[status(thm)],[5179, 5177])).
% 0.89/0.99 tff(5181,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s49)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5182,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s49, c_busy) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s49)) | (~m_main_v_request(s49))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5181, 5180])).
% 0.89/0.99 tff(5183,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5182, 52, 5172, 5176, 5164, 5165])).
% 0.89/0.99 tff(5184,plain,((~node2(s49, s49)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5185,plain,
% 0.89/0.99 (~node2(s49, s49)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5184, 5164])).
% 0.89/0.99 tff(5186,assumption,(~node2(s49, s49)), introduced(assumption)).
% 0.89/0.99 tff(5187,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s49)) | node2(s49, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s49)) | node2(s49, s49))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5188,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s49)) | node2(s49, s49))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5189,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s49)) | node2(s49, s49)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 0.89/0.99 tff(5190,plain,
% 0.89/0.99 ($false),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5189, 2145, 7, 5186])).
% 0.89/0.99 tff(5191,plain,((~trans(s49, s49)) | node2(s49, s49)), inference(lemma,lemma(discharge,[]))).
% 0.89/0.99 tff(5192,plain,
% 0.89/0.99 (~trans(s49, s49)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5191, 5185])).
% 0.89/0.99 tff(5193,assumption,(~always3(s47)), introduced(assumption)).
% 0.89/0.99 tff(5194,plain,
% 0.89/0.99 (~always3(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1087, 5193])).
% 0.89/0.99 tff(5195,plain,
% 0.89/0.99 (~always3(s45)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1099, 5194])).
% 0.89/0.99 tff(5196,plain,
% 0.89/0.99 (~always3(s44)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[651, 5195])).
% 0.89/0.99 tff(5197,plain,
% 0.89/0.99 (~always3(s43)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[605, 5196])).
% 0.89/0.99 tff(5198,plain,
% 0.89/0.99 (~always3(s42)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[664, 5197])).
% 0.89/0.99 tff(5199,plain,
% 0.89/0.99 (~always3(s41)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[676, 5198])).
% 0.89/0.99 tff(5200,plain,
% 0.89/0.99 (~always3(s40)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[688, 5199])).
% 0.89/0.99 tff(5201,plain,
% 0.89/0.99 (~always3(s39)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[700, 5200])).
% 0.89/0.99 tff(5202,plain,
% 0.89/0.99 (~always3(s38)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[712, 5201])).
% 0.89/0.99 tff(5203,plain,
% 0.89/0.99 (~always3(s37)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[724, 5202])).
% 0.89/0.99 tff(5204,plain,
% 0.89/0.99 (~always3(s36)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[266, 5203])).
% 0.89/0.99 tff(5205,plain,
% 0.89/0.99 (~always3(s35)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[737, 5204])).
% 0.89/0.99 tff(5206,plain,
% 0.89/0.99 (~always3(s34)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[749, 5205])).
% 0.89/0.99 tff(5207,plain,
% 0.89/0.99 (~always3(s33)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[761, 5206])).
% 0.89/0.99 tff(5208,plain,
% 0.89/0.99 (~always3(s32)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[773, 5207])).
% 0.89/0.99 tff(5209,plain,
% 0.89/0.99 (~always3(s31)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[785, 5208])).
% 0.89/0.99 tff(5210,plain,
% 0.89/0.99 (~always3(s30)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[797, 5209])).
% 0.89/0.99 tff(5211,plain,
% 0.89/0.99 (~always3(s29)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[809, 5210])).
% 0.89/0.99 tff(5212,plain,
% 0.89/0.99 (~always3(s28)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[821, 5211])).
% 0.89/0.99 tff(5213,plain,
% 0.89/0.99 (~always3(s27)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[833, 5212])).
% 0.89/0.99 tff(5214,plain,
% 0.89/0.99 (~always3(s26)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[845, 5213])).
% 0.89/0.99 tff(5215,plain,
% 0.89/0.99 (~always3(s25)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[857, 5214])).
% 0.89/0.99 tff(5216,plain,
% 0.89/0.99 (~always3(s24)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[502, 5215])).
% 0.89/0.99 tff(5217,plain,
% 0.89/0.99 (~always3(s23)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[870, 5216])).
% 0.89/0.99 tff(5218,plain,
% 0.89/0.99 (~always3(s22)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[882, 5217])).
% 0.89/0.99 tff(5219,plain,
% 0.89/0.99 (~always3(s21)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[367, 5218])).
% 0.89/0.99 tff(5220,plain,
% 0.89/0.99 (~always3(s20)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[551, 5219])).
% 0.89/0.99 tff(5221,plain,
% 0.89/0.99 (~always3(s19)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[896, 5220])).
% 0.89/0.99 tff(5222,plain,
% 0.89/0.99 (~always3(s18)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[459, 5221])).
% 0.89/0.99 tff(5223,plain,
% 0.89/0.99 (~always3(s17)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[345, 5222])).
% 0.89/0.99 tff(5224,plain,
% 0.89/0.99 (~always3(s16)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[910, 5223])).
% 0.89/0.99 tff(5225,plain,
% 0.89/0.99 (~always3(s15)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[922, 5224])).
% 0.89/0.99 tff(5226,plain,
% 0.89/0.99 (~always3(s14)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[934, 5225])).
% 0.89/0.99 tff(5227,plain,
% 0.89/0.99 (~always3(s13)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[946, 5226])).
% 0.89/0.99 tff(5228,plain,
% 0.89/0.99 (~always3(s12)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[958, 5227])).
% 0.89/0.99 tff(5229,plain,
% 0.89/0.99 (~always3(s11)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[416, 5228])).
% 0.89/0.99 tff(5230,plain,
% 0.89/0.99 (~always3(s10)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[121, 5229])).
% 0.89/0.99 tff(5231,plain,
% 0.89/0.99 (~always3(s9)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[180, 5230])).
% 0.89/0.99 tff(5232,plain,
% 0.89/0.99 (~always3(s8)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[973, 5231])).
% 0.89/0.99 tff(5233,plain,
% 0.89/0.99 (~always3(s7)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[985, 5232])).
% 0.89/0.99 tff(5234,plain,
% 0.89/0.99 (~always3(s6)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[997, 5233])).
% 0.89/0.99 tff(5235,plain,
% 0.89/0.99 (~always3(s5)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1009, 5234])).
% 0.89/0.99 tff(5236,plain,
% 0.89/0.99 (~always3(s4)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1021, 5235])).
% 0.89/0.99 tff(5237,plain,
% 0.89/0.99 (~always3(s3)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1033, 5236])).
% 0.89/0.99 tff(5238,plain,
% 0.89/0.99 (~always3(s2)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1045, 5237])).
% 0.89/0.99 tff(5239,plain,
% 0.89/0.99 (~always3(s1)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[223, 5238])).
% 0.89/0.99 tff(5240,plain,
% 0.89/0.99 (~always3(s0)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[85, 5239])).
% 0.89/0.99 tff(5241,plain,
% 0.89/0.99 (~node4(s0)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[70, 67, 5240])).
% 0.89/0.99 tff(5242,plain,
% 0.89/0.99 (~node4(s1)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[211, 67, 5239])).
% 0.89/0.99 tff(5243,plain,
% 0.89/0.99 (~node4(s46)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1395, 67, 5194])).
% 0.89/0.99 tff(5244,plain,
% 0.89/0.99 (~node4(s45)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1378, 67, 5195])).
% 0.89/0.99 tff(5245,plain,
% 0.89/0.99 (~node4(s44)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1361, 67, 5196])).
% 0.89/0.99 tff(5246,plain,
% 0.89/0.99 (~node4(s43)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[593, 67, 5197])).
% 0.89/0.99 tff(5247,plain,
% 0.89/0.99 (~node4(s42)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1330, 67, 5198])).
% 0.89/0.99 tff(5248,plain,
% 0.89/0.99 (~node4(s41)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1313, 67, 5199])).
% 0.89/0.99 tff(5249,plain,
% 0.89/0.99 (~node4(s39)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1263, 67, 5201])).
% 0.89/0.99 tff(5250,plain,
% 0.89/0.99 (~node4(s38)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1111, 67, 5202])).
% 0.89/0.99 tff(5251,plain,
% 0.89/0.99 (~node4(s37)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1154, 67, 5203])).
% 0.89/0.99 tff(5252,plain,
% 0.89/0.99 (~node4(s36)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[254, 67, 5204])).
% 0.89/0.99 tff(5253,plain,
% 0.89/0.99 (~node4(s35)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1159, 67, 5205])).
% 0.89/0.99 tff(5254,plain,
% 0.89/0.99 (~node4(s33)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1163, 67, 5207])).
% 0.89/0.99 tff(5255,plain,
% 0.89/0.99 (~node4(s32)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1167, 67, 5208])).
% 0.89/0.99 tff(5256,plain,
% 0.89/0.99 (~node4(s31)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1171, 67, 5209])).
% 0.89/0.99 tff(5257,plain,
% 0.89/0.99 (~node4(s30)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1175, 67, 5210])).
% 0.89/0.99 tff(5258,plain,
% 0.89/0.99 (~node4(s29)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1179, 67, 5211])).
% 0.89/0.99 tff(5259,plain,
% 0.89/0.99 (~node4(s28)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1183, 67, 5212])).
% 0.89/0.99 tff(5260,plain,
% 0.89/0.99 (~node4(s26)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1187, 67, 5214])).
% 0.89/0.99 tff(5261,plain,
% 0.89/0.99 (~node4(s25)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1191, 67, 5215])).
% 0.89/0.99 tff(5262,plain,
% 0.89/0.99 (~node4(s24)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[490, 67, 5216])).
% 0.89/0.99 tff(5263,plain,
% 0.89/0.99 (~node4(s23)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1196, 67, 5217])).
% 0.89/0.99 tff(5264,plain,
% 0.89/0.99 (~node4(s21)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[355, 67, 5219])).
% 0.89/0.99 tff(5265,plain,
% 0.89/0.99 (~node4(s20)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[539, 67, 5220])).
% 0.89/0.99 tff(5266,plain,
% 0.89/0.99 (~node4(s19)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1202, 67, 5221])).
% 0.89/0.99 tff(5267,plain,
% 0.89/0.99 (~node4(s18)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[447, 67, 5222])).
% 0.89/0.99 tff(5268,plain,
% 0.89/0.99 (~node4(s17)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[299, 67, 5223])).
% 0.89/0.99 tff(5269,plain,
% 0.89/0.99 (~node4(s16)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1208, 67, 5224])).
% 0.89/0.99 tff(5270,plain,
% 0.89/0.99 (~node4(s15)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1212, 67, 5225])).
% 0.89/0.99 tff(5271,plain,
% 0.89/0.99 (~node4(s14)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1216, 67, 5226])).
% 0.89/0.99 tff(5272,plain,
% 0.89/0.99 (~node4(s13)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1220, 67, 5227])).
% 0.89/0.99 tff(5273,plain,
% 0.89/0.99 (~node4(s12)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1224, 67, 5228])).
% 0.89/0.99 tff(5274,plain,
% 0.89/0.99 (~node4(s11)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[404, 67, 5229])).
% 0.89/0.99 tff(5275,plain,
% 0.89/0.99 (~node4(s10)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[109, 67, 5230])).
% 0.89/0.99 tff(5276,plain,
% 0.89/0.99 (~node4(s9)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[168, 67, 5231])).
% 0.89/0.99 tff(5277,plain,
% 0.89/0.99 (~node4(s8)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1231, 67, 5232])).
% 0.89/0.99 tff(5278,plain,
% 0.89/0.99 (~node4(s7)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1235, 67, 5233])).
% 0.89/0.99 tff(5279,plain,
% 0.89/0.99 (~node4(s6)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1239, 67, 5234])).
% 0.89/0.99 tff(5280,plain,
% 0.89/0.99 (~node4(s5)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1243, 67, 5235])).
% 0.89/0.99 tff(5281,plain,
% 0.89/0.99 (~node4(s4)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1247, 67, 5236])).
% 0.89/0.99 tff(5282,plain,
% 0.89/0.99 (~node4(s3)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1251, 67, 5237])).
% 0.89/0.99 tff(5283,plain,
% 0.89/0.99 (~node4(s2)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1255, 67, 5238])).
% 0.89/0.99 tff(5284,assumption,(~m_main_v_state(s49, c_busy)), introduced(assumption)).
% 0.89/0.99 tff(5285,assumption,(node4(s48)), introduced(assumption)).
% 0.89/0.99 tff(5286,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5287,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5288,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 0.89/0.99 tff(5289,plain,
% 0.89/0.99 (m_main_v_request(s48)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5288, 20, 5285])).
% 0.89/0.99 tff(5290,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5291,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5292,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 0.89/0.99 tff(5293,plain,
% 0.89/0.99 (node2(s48, s49)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5292, 7, 1056])).
% 0.89/0.99 tff(5294,plain,
% 0.89/0.99 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5295,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5296,plain,
% 0.89/0.99 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 0.89/0.99 tff(5297,plain,
% 0.89/0.99 ((~m_main_v_state(s48, c_ready)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5296, 52, 5293])).
% 0.89/0.99 tff(5298,plain,
% 0.89/0.99 (~m_main_v_state(s48, c_ready)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5297, 5289, 5284])).
% 0.89/0.99 tff(5299,plain,
% 0.89/0.99 (always3(s48)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[1429, 67, 5285])).
% 0.89/0.99 tff(5300,plain,
% 0.89/0.99 (~m_main_v_state(s48, c_busy)),
% 0.89/0.99 inference(unit_resolution,[status(thm)],[5120, 93, 5299])).
% 0.89/0.99 tff(5301,plain,
% 0.89/0.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready))),
% 0.89/0.99 inference(rewrite,[status(thm)],[])).
% 0.89/0.99 tff(5302,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready))),
% 0.89/0.99 inference(quant_inst,[status(thm)],[])).
% 0.89/0.99 tff(5303,plain,
% 0.89/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready)),
% 0.89/0.99 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 0.89/1.00 tff(5304,plain,
% 0.89/1.00 ($false),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5303, 155, 5300, 5298])).
% 0.89/1.00 tff(5305,plain,((~node4(s48)) | m_main_v_state(s49, c_busy)), inference(lemma,lemma(discharge,[]))).
% 0.89/1.00 tff(5306,plain,
% 0.89/1.00 (~node4(s48)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5305, 5172])).
% 0.89/1.00 tff(5307,plain,
% 0.89/1.00 (xuntil6(s0)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3006, 5241])).
% 0.89/1.00 tff(5308,plain,
% 0.89/1.00 (until5(s1)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3011, 5307])).
% 0.89/1.00 tff(5309,plain,
% 0.89/1.00 (xuntil6(s1)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3018, 1275, 5308, 5242])).
% 0.89/1.00 tff(5310,plain,
% 0.89/1.00 (until5(s2)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3023, 5309])).
% 0.89/1.00 tff(5311,plain,
% 0.89/1.00 (xuntil6(s2) | (~until5(s2))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3031, 1275, 5283])).
% 0.89/1.00 tff(5312,plain,
% 0.89/1.00 (xuntil6(s2)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5311, 5310])).
% 0.89/1.00 tff(5313,plain,
% 0.89/1.00 (until5(s3)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3037, 5312])).
% 0.89/1.00 tff(5314,plain,
% 0.89/1.00 (xuntil6(s3) | (~until5(s3))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3045, 1275, 5282])).
% 0.89/1.00 tff(5315,plain,
% 0.89/1.00 (xuntil6(s3)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5314, 5313])).
% 0.89/1.00 tff(5316,plain,
% 0.89/1.00 (until5(s4)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3051, 5315])).
% 0.89/1.00 tff(5317,plain,
% 0.89/1.00 (xuntil6(s4) | (~until5(s4))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3059, 1275, 5281])).
% 0.89/1.00 tff(5318,plain,
% 0.89/1.00 (xuntil6(s4)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5317, 5316])).
% 0.89/1.00 tff(5319,plain,
% 0.89/1.00 (until5(s5)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3065, 5318])).
% 0.89/1.00 tff(5320,plain,
% 0.89/1.00 (xuntil6(s5) | (~until5(s5))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3073, 1275, 5280])).
% 0.89/1.00 tff(5321,plain,
% 0.89/1.00 (xuntil6(s5)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5320, 5319])).
% 0.89/1.00 tff(5322,plain,
% 0.89/1.00 (until5(s6)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3079, 5321])).
% 0.89/1.00 tff(5323,plain,
% 0.89/1.00 (xuntil6(s6) | (~until5(s6))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3087, 1275, 5279])).
% 0.89/1.00 tff(5324,plain,
% 0.89/1.00 (xuntil6(s6)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5323, 5322])).
% 0.89/1.00 tff(5325,plain,
% 0.89/1.00 (until5(s7)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3093, 5324])).
% 0.89/1.00 tff(5326,plain,
% 0.89/1.00 (xuntil6(s7) | (~until5(s7))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3101, 1275, 5278])).
% 0.89/1.00 tff(5327,plain,
% 0.89/1.00 (xuntil6(s7)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5326, 5325])).
% 0.89/1.00 tff(5328,plain,
% 0.89/1.00 (until5(s8)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3107, 5327])).
% 0.89/1.00 tff(5329,plain,
% 0.89/1.00 (xuntil6(s8) | (~until5(s8))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3115, 1275, 5277])).
% 0.89/1.00 tff(5330,plain,
% 0.89/1.00 (xuntil6(s8)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5329, 5328])).
% 0.89/1.00 tff(5331,plain,
% 0.89/1.00 (until5(s9)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3121, 5330])).
% 0.89/1.00 tff(5332,plain,
% 0.89/1.00 (xuntil6(s9) | (~until5(s9))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3129, 1275, 5276])).
% 0.89/1.00 tff(5333,plain,
% 0.89/1.00 (xuntil6(s9)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5332, 5331])).
% 0.89/1.00 tff(5334,plain,
% 0.89/1.00 (until5(s10)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3135, 5333])).
% 0.89/1.00 tff(5335,plain,
% 0.89/1.00 (xuntil6(s10) | (~until5(s10))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3143, 1275, 5275])).
% 0.89/1.00 tff(5336,plain,
% 0.89/1.00 (xuntil6(s10)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5335, 5334])).
% 0.89/1.00 tff(5337,plain,
% 0.89/1.00 (until5(s11)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3149, 5336])).
% 0.89/1.00 tff(5338,plain,
% 0.89/1.00 (xuntil6(s11) | (~until5(s11))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3157, 1275, 5274])).
% 0.89/1.00 tff(5339,plain,
% 0.89/1.00 (xuntil6(s11)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5338, 5337])).
% 0.89/1.00 tff(5340,plain,
% 0.89/1.00 (until5(s12)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3163, 5339])).
% 0.89/1.00 tff(5341,plain,
% 0.89/1.00 (xuntil6(s12) | (~until5(s12))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3171, 1275, 5273])).
% 0.89/1.00 tff(5342,plain,
% 0.89/1.00 (xuntil6(s12)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5341, 5340])).
% 0.89/1.00 tff(5343,plain,
% 0.89/1.00 (until5(s13)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3177, 5342])).
% 0.89/1.00 tff(5344,plain,
% 0.89/1.00 (xuntil6(s13) | (~until5(s13))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3185, 1275, 5272])).
% 0.89/1.00 tff(5345,plain,
% 0.89/1.00 (xuntil6(s13)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5344, 5343])).
% 0.89/1.00 tff(5346,plain,
% 0.89/1.00 (until5(s14)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3191, 5345])).
% 0.89/1.00 tff(5347,plain,
% 0.89/1.00 (xuntil6(s14) | (~until5(s14))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3199, 1275, 5271])).
% 0.89/1.00 tff(5348,plain,
% 0.89/1.00 (xuntil6(s14)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5347, 5346])).
% 0.89/1.00 tff(5349,plain,
% 0.89/1.00 (until5(s15)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3205, 5348])).
% 0.89/1.00 tff(5350,plain,
% 0.89/1.00 (xuntil6(s15) | (~until5(s15))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3213, 1275, 5270])).
% 0.89/1.00 tff(5351,plain,
% 0.89/1.00 (xuntil6(s15)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5350, 5349])).
% 0.89/1.00 tff(5352,plain,
% 0.89/1.00 (until5(s16)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3219, 5351])).
% 0.89/1.00 tff(5353,plain,
% 0.89/1.00 (xuntil6(s16) | (~until5(s16))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3227, 1275, 5269])).
% 0.89/1.00 tff(5354,plain,
% 0.89/1.00 (xuntil6(s16)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5353, 5352])).
% 0.89/1.00 tff(5355,plain,
% 0.89/1.00 (until5(s17)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3233, 5354])).
% 0.89/1.00 tff(5356,plain,
% 0.89/1.00 (xuntil6(s17) | (~until5(s17))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3241, 1275, 5268])).
% 0.89/1.00 tff(5357,plain,
% 0.89/1.00 (xuntil6(s17)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5356, 5355])).
% 0.89/1.00 tff(5358,plain,
% 0.89/1.00 (until5(s18)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3247, 5357])).
% 0.89/1.00 tff(5359,plain,
% 0.89/1.00 (xuntil6(s18) | (~until5(s18))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3255, 1275, 5267])).
% 0.89/1.00 tff(5360,plain,
% 0.89/1.00 (xuntil6(s18)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5359, 5358])).
% 0.89/1.00 tff(5361,plain,
% 0.89/1.00 (until5(s19)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3261, 5360])).
% 0.89/1.00 tff(5362,plain,
% 0.89/1.00 (xuntil6(s19) | (~until5(s19))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3269, 1275, 5266])).
% 0.89/1.00 tff(5363,plain,
% 0.89/1.00 (xuntil6(s19)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5362, 5361])).
% 0.89/1.00 tff(5364,plain,
% 0.89/1.00 (until5(s20)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3275, 5363])).
% 0.89/1.00 tff(5365,plain,
% 0.89/1.00 (xuntil6(s20) | (~until5(s20))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3283, 1275, 5265])).
% 0.89/1.00 tff(5366,plain,
% 0.89/1.00 (xuntil6(s20)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5365, 5364])).
% 0.89/1.00 tff(5367,plain,
% 0.89/1.00 (until5(s21)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3289, 5366])).
% 0.89/1.00 tff(5368,plain,
% 0.89/1.00 (xuntil6(s21) | (~until5(s21))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3297, 1275, 5264])).
% 0.89/1.00 tff(5369,plain,
% 0.89/1.00 (xuntil6(s21)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5368, 5367])).
% 0.89/1.00 tff(5370,plain,
% 0.89/1.00 (until5(s22)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3303, 5369])).
% 0.89/1.00 tff(5371,plain,
% 0.89/1.00 (xuntil6(s37)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[3599, 5370, 5203])).
% 0.89/1.00 tff(5372,plain,
% 0.89/1.00 (until5(s38)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[2778, 5371])).
% 0.89/1.00 tff(5373,plain,
% 0.89/1.00 (xuntil6(s38) | (~until5(s38))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[2772, 1275, 5250])).
% 0.89/1.00 tff(5374,plain,
% 0.89/1.00 (xuntil6(s38)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5373, 5372])).
% 0.89/1.00 tff(5375,plain,
% 0.89/1.00 (until5(s39)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[2763, 5374])).
% 0.89/1.00 tff(5376,plain,
% 0.89/1.00 (xuntil6(s39) | (~until5(s39))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[1281, 1275, 5249])).
% 0.89/1.00 tff(5377,plain,
% 0.89/1.00 (xuntil6(s39)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5376, 5375])).
% 0.89/1.00 tff(5378,plain,
% 0.89/1.00 (until5(s40)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[1297, 5377])).
% 0.89/1.00 tff(5379,plain,
% 0.89/1.00 (xuntil6(s40)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[4979, 5378])).
% 0.89/1.00 tff(5380,plain,
% 0.89/1.00 (until5(s41)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[1309, 5379])).
% 0.89/1.00 tff(5381,plain,
% 0.89/1.00 (xuntil6(s41) | (~until5(s41))),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[1320, 1275, 5248])).
% 0.89/1.00 tff(5382,plain,
% 0.89/1.00 (xuntil6(s41)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[5381, 5380])).
% 0.89/1.00 tff(5383,plain,
% 0.89/1.00 (until5(s42)),
% 0.89/1.00 inference(unit_resolution,[status(thm)],[1326, 5382])).
% 0.94/1.00 tff(5384,plain,
% 0.94/1.00 (xuntil6(s42) | (~until5(s42))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1337, 1275, 5247])).
% 0.94/1.00 tff(5385,plain,
% 0.94/1.00 (xuntil6(s42)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5384, 5383])).
% 0.94/1.00 tff(5386,plain,
% 0.94/1.00 (until5(s43)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1343, 5385])).
% 0.94/1.00 tff(5387,plain,
% 0.94/1.00 (xuntil6(s43) | (~until5(s43))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1351, 1275, 5246])).
% 0.94/1.00 tff(5388,plain,
% 0.94/1.00 (xuntil6(s43)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5387, 5386])).
% 0.94/1.00 tff(5389,plain,
% 0.94/1.00 (until5(s44)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1357, 5388])).
% 0.94/1.00 tff(5390,plain,
% 0.94/1.00 (xuntil6(s44) | (~until5(s44))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1368, 1275, 5245])).
% 0.94/1.00 tff(5391,plain,
% 0.94/1.00 (xuntil6(s44)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5390, 5389])).
% 0.94/1.00 tff(5392,plain,
% 0.94/1.00 (until5(s45)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1374, 5391])).
% 0.94/1.00 tff(5393,plain,
% 0.94/1.00 (xuntil6(s45) | (~until5(s45))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1385, 1275, 5244])).
% 0.94/1.00 tff(5394,plain,
% 0.94/1.00 (xuntil6(s45)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5393, 5392])).
% 0.94/1.00 tff(5395,plain,
% 0.94/1.00 (until5(s46)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1391, 5394])).
% 0.94/1.00 tff(5396,plain,
% 0.94/1.00 (xuntil6(s46) | (~until5(s46))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1402, 1275, 5243])).
% 0.94/1.00 tff(5397,plain,
% 0.94/1.00 (xuntil6(s46)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5396, 5395])).
% 0.94/1.00 tff(5398,plain,
% 0.94/1.00 (until5(s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1408, 5397])).
% 0.94/1.00 tff(5399,plain,
% 0.94/1.00 (xuntil6(s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5123, 5398])).
% 0.94/1.00 tff(5400,plain,
% 0.94/1.00 (until5(s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1425, 5399])).
% 0.94/1.00 tff(5401,plain,
% 0.94/1.00 (xuntil6(s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1436, 1275, 5400, 5306])).
% 0.94/1.00 tff(5402,plain,
% 0.94/1.00 (until5(s49)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1442, 5401])).
% 0.94/1.00 tff(5403,plain,
% 0.94/1.00 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s12) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s19) | node4(s20) | node4(s21) | node4(s23) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s39) | node4(s41) | node4(s42) | node4(s43) | node4(s44) | node4(s45) | node4(s46) | node4(s47) | node4(s48) | (~until5(s49))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3512, 4978])).
% 0.94/1.00 tff(5404,plain,
% 0.94/1.00 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s12) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s19) | node4(s20) | node4(s21) | node4(s23) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s39) | node4(s41) | node4(s42) | node4(s43) | node4(s44) | node4(s45) | node4(s46) | node4(s47) | (~until5(s49))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5403, 5306])).
% 0.94/1.00 tff(5405,plain,
% 0.94/1.00 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s12) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s19) | node4(s20) | node4(s21) | node4(s23) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s39) | node4(s41) | node4(s42) | node4(s43) | node4(s44) | node4(s45) | node4(s46) | (~until5(s49))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5404, 5122])).
% 0.94/1.00 tff(5406,plain,
% 0.94/1.00 (node4(s49)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5405, 5402, 5283, 5282, 5281, 5280, 5279, 5278, 5277, 5276, 5275, 5274, 5273, 5272, 5271, 5270, 5269, 5268, 5267, 5266, 5265, 5264, 5263, 5262, 5261, 5260, 5259, 5258, 5257, 5256, 5255, 5254, 5253, 5252, 5251, 5250, 5249, 5248, 5247, 5246, 5245, 5244, 5243, 5242, 5241])).
% 0.94/1.00 tff(5407,plain,
% 0.94/1.00 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5408,plain,
% 0.94/1.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5409,plain,
% 0.94/1.00 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49))),
% 0.94/1.00 inference(modus_ponens,[status(thm)],[5408, 5407])).
% 0.94/1.00 tff(5410,plain,
% 0.94/1.00 (m_main_v_request(s49)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5409, 20, 5406])).
% 0.94/1.00 tff(5411,plain,
% 0.94/1.00 (~trans(s49, s0)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3676, 5240])).
% 0.94/1.00 tff(5412,plain,
% 0.94/1.00 (~trans(s49, s46)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5161, 5194])).
% 0.94/1.00 tff(5413,plain,
% 0.94/1.00 (~trans(s49, s44)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4603, 5196])).
% 0.94/1.00 tff(5414,plain,
% 0.94/1.00 (~trans(s49, s45)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3876, 5195])).
% 0.94/1.00 tff(5415,plain,
% 0.94/1.00 (~trans(s49, s8)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3697, 5232])).
% 0.94/1.00 tff(5416,plain,
% 0.94/1.00 (~trans(s49, s14)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3707, 5226])).
% 0.94/1.00 tff(5417,plain,
% 0.94/1.00 (~trans(s49, s12)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3717, 5228])).
% 0.94/1.00 tff(5418,plain,
% 0.94/1.00 (~trans(s49, s32)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3889, 5208])).
% 0.94/1.00 tff(5419,plain,
% 0.94/1.00 (~trans(s49, s16)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3727, 5224])).
% 0.94/1.00 tff(5420,plain,
% 0.94/1.00 (~trans(s49, s7)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3737, 5233])).
% 0.94/1.00 tff(5421,plain,
% 0.94/1.00 (~trans(s49, s25)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3901, 5215])).
% 0.94/1.00 tff(5422,plain,
% 0.94/1.00 (~trans(s49, s29)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3911, 5211])).
% 0.94/1.00 tff(5423,plain,
% 0.94/1.00 (~trans(s49, s36)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3921, 5204])).
% 0.94/1.00 tff(5424,plain,
% 0.94/1.00 (~trans(s49, s42)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3932, 5198])).
% 0.94/1.00 tff(5425,plain,
% 0.94/1.00 (~trans(s49, s3)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3747, 5237])).
% 0.94/1.00 tff(5426,plain,
% 0.94/1.00 (~trans(s49, s17)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3943, 5223])).
% 0.94/1.00 tff(5427,plain,
% 0.94/1.00 (~trans(s49, s1)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3758, 5239])).
% 0.94/1.00 tff(5428,plain,
% 0.94/1.00 (~trans(s49, s23)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3955, 5217])).
% 0.94/1.00 tff(5429,plain,
% 0.94/1.00 (~trans(s49, s11)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3769, 5229])).
% 0.94/1.00 tff(5430,plain,
% 0.94/1.00 (~trans(s49, s6)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3780, 5234])).
% 0.94/1.00 tff(5431,plain,
% 0.94/1.00 (~trans(s49, s24)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3968, 5216])).
% 0.94/1.00 tff(5432,plain,
% 0.94/1.00 (~trans(s49, s20)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3979, 5220])).
% 0.94/1.00 tff(5433,plain,
% 0.94/1.00 (~trans(s49, s9)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3791, 5231])).
% 0.94/1.00 tff(5434,plain,
% 0.94/1.00 (~trans(s49, s38)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4134, 5202])).
% 0.94/1.00 tff(5435,plain,
% 0.94/1.00 (~trans(s49, s21)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4145, 5219])).
% 0.94/1.00 tff(5436,plain,
% 0.94/1.00 (~trans(s49, s30)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4156, 5210])).
% 0.94/1.00 tff(5437,plain,
% 0.94/1.00 (~trans(s49, s2)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3802, 5238])).
% 0.94/1.00 tff(5438,plain,
% 0.94/1.00 (~trans(s49, s15)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3863, 5225])).
% 0.94/1.00 tff(5439,plain,
% 0.94/1.00 (~trans(s49, s4)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3814, 5236])).
% 0.94/1.00 tff(5440,plain,
% 0.94/1.00 (~trans(s49, s39)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4314, 5201])).
% 0.94/1.00 tff(5441,plain,
% 0.94/1.00 (~trans(s49, s31)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4325, 5209])).
% 0.94/1.00 tff(5442,plain,
% 0.94/1.00 (~trans(s49, s22)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4336, 5218])).
% 0.94/1.00 tff(5443,plain,
% 0.94/1.00 (~trans(s49, s34)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4347, 5206])).
% 0.94/1.00 tff(5444,plain,
% 0.94/1.00 (~trans(s49, s27)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4358, 5213])).
% 0.94/1.00 tff(5445,plain,
% 0.94/1.00 (~trans(s49, s40)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4514, 5200])).
% 0.94/1.00 tff(5446,plain,
% 0.94/1.00 (~trans(s49, s28)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4525, 5212])).
% 0.94/1.00 tff(5447,plain,
% 0.94/1.00 (~trans(s49, s33)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4536, 5207])).
% 0.94/1.00 tff(5448,plain,
% 0.94/1.00 (~trans(s49, s5)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3825, 5235])).
% 0.94/1.00 tff(5449,plain,
% 0.94/1.00 (~trans(s49, s13)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3836, 5227])).
% 0.94/1.00 tff(5450,plain,
% 0.94/1.00 (~trans(s49, s10)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3687, 5230])).
% 0.94/1.00 tff(5451,plain,
% 0.94/1.00 (~trans(s49, s35)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4559, 5205])).
% 0.94/1.00 tff(5452,plain,
% 0.94/1.00 (~trans(s49, s18)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4570, 5222])).
% 0.94/1.00 tff(5453,plain,
% 0.94/1.00 (~trans(s49, s19)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4581, 5221])).
% 0.94/1.00 tff(5454,plain,
% 0.94/1.00 (~trans(s49, s37)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4548, 5203])).
% 0.94/1.00 tff(5455,plain,
% 0.94/1.00 (~trans(s49, s26)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4772, 5214])).
% 0.94/1.00 tff(5456,plain,
% 0.94/1.00 (~trans(s49, s41)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4760, 5199])).
% 0.94/1.00 tff(5457,plain,
% 0.94/1.00 (~trans(s49, s43)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[4592, 5197])).
% 0.94/1.00 tff(5458,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s47) | (~trans(s49, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s47) | (~trans(s49, s47)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5459,plain,
% 0.94/1.00 (((~trans(s49, s47)) | (~always3(s49)) | always3(s47)) <=> ((~always3(s49)) | always3(s47) | (~trans(s49, s47)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5460,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s47)) | (~always3(s49)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s47) | (~trans(s49, s47))))),
% 0.94/1.00 inference(monotonicity,[status(thm)],[5459])).
% 0.94/1.00 tff(5461,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s47)) | (~always3(s49)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s47) | (~trans(s49, s47)))),
% 0.94/1.00 inference(transitivity,[status(thm)],[5460, 5458])).
% 0.94/1.00 tff(5462,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s47)) | (~always3(s49)) | always3(s47))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5463,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s47) | (~trans(s49, s47))),
% 0.94/1.00 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 0.94/1.00 tff(5464,plain,
% 0.94/1.00 ($false),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5463, 2445, 81, 3667, 5193])).
% 0.94/1.00 tff(5465,plain,((~trans(s49, s47)) | (~always3(s49)) | always3(s47)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.00 tff(5466,plain,
% 0.94/1.00 ((~trans(s49, s47)) | always3(s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5465, 3665])).
% 0.94/1.00 tff(5467,plain,
% 0.94/1.00 (~trans(s49, s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5466, 5193])).
% 0.94/1.00 tff(5468,plain,
% 0.94/1.00 (~node2(s49, s49)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5184, 5410])).
% 0.94/1.00 tff(5469,plain,
% 0.94/1.00 (~trans(s49, s49)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5191, 5468])).
% 0.94/1.00 tff(5470,plain,
% 0.94/1.00 (trans(s49, s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3503, 5469, 5467, 5457, 5456, 5455, 5454, 5453, 5452, 5451, 5450, 5449, 5448, 5447, 5446, 5445, 5444, 5443, 5442, 5441, 5440, 5439, 5438, 5437, 5436, 5435, 5434, 5433, 5432, 5431, 5430, 5429, 5428, 5427, 5426, 5425, 5424, 5423, 5422, 5421, 5420, 5419, 5418, 5417, 5416, 5415, 5414, 5413, 5412, 5411])).
% 0.94/1.00 tff(5471,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s48)) | node2(s49, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s48)) | node2(s49, s48))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5472,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s48)) | node2(s49, s48))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5473,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s48)) | node2(s49, s48)),
% 0.94/1.00 inference(modus_ponens,[status(thm)],[5472, 5471])).
% 0.94/1.00 tff(5474,plain,
% 0.94/1.00 (node2(s49, s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5473, 5470, 7])).
% 0.94/1.00 tff(5475,assumption,(node2(s49, s48)), introduced(assumption)).
% 0.94/1.00 tff(5476,assumption,(~m_main_v_state(s48, c_busy)), introduced(assumption)).
% 0.94/1.00 tff(5477,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s48, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s48)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s48, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s48)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5478,plain,
% 0.94/1.00 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s48, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s48)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5479,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s48, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s48))))),
% 0.94/1.00 inference(monotonicity,[status(thm)],[5478])).
% 0.94/1.00 tff(5480,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s48, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s48)))),
% 0.94/1.00 inference(transitivity,[status(thm)],[5479, 5477])).
% 0.94/1.00 tff(5481,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s49)))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5482,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s48, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s48))),
% 0.94/1.00 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 0.94/1.00 tff(5483,plain,
% 0.94/1.00 ($false),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5482, 52, 5476, 5176, 5164, 5475])).
% 0.94/1.00 tff(5484,plain,((~node2(s49, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.00 tff(5485,plain,
% 0.94/1.00 (m_main_v_state(s48, c_busy)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5484, 5474, 5410])).
% 0.94/1.00 tff(5486,assumption,(~trans(s49, s49)), introduced(assumption)).
% 0.94/1.00 tff(5487,assumption,(~always3(s48)), introduced(assumption)).
% 0.94/1.00 tff(5488,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s48) | (~trans(s49, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s48) | (~trans(s49, s48)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5489,plain,
% 0.94/1.00 (((~trans(s49, s48)) | (~always3(s49)) | always3(s48)) <=> ((~always3(s49)) | always3(s48) | (~trans(s49, s48)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5490,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s48)) | (~always3(s49)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s49)) | always3(s48) | (~trans(s49, s48))))),
% 0.94/1.00 inference(monotonicity,[status(thm)],[5489])).
% 0.94/1.00 tff(5491,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s48)) | (~always3(s49)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s48) | (~trans(s49, s48)))),
% 0.94/1.00 inference(transitivity,[status(thm)],[5490, 5488])).
% 0.94/1.00 tff(5492,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s48)) | (~always3(s49)) | always3(s48))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5493,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s49)) | always3(s48) | (~trans(s49, s48))),
% 0.94/1.00 inference(modus_ponens,[status(thm)],[5492, 5491])).
% 0.94/1.00 tff(5494,plain,
% 0.94/1.00 ($false),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5493, 2533, 81, 3667, 5487])).
% 0.94/1.00 tff(5495,plain,((~trans(s49, s48)) | (~always3(s49)) | always3(s48)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.00 tff(5496,plain,
% 0.94/1.00 ((~trans(s49, s48)) | always3(s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5495, 3665])).
% 0.94/1.00 tff(5497,plain,
% 0.94/1.00 (~trans(s49, s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5496, 5487])).
% 0.94/1.00 tff(5498,plain,
% 0.94/1.00 (~always3(s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1075, 5487])).
% 0.94/1.00 tff(5499,plain,
% 0.94/1.00 (~trans(s49, s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5466, 5498])).
% 0.94/1.00 tff(5500,plain,
% 0.94/1.00 ($false),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3503, 5499, 5497, 5150, 5153, 5152, 5148, 5146, 5149, 3868, 5147, 4538, 4539, 4158, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 3867, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 5151, 5163, 5486])).
% 0.94/1.00 tff(5501,plain,(always3(s48) | trans(s49, s43) | trans(s49, s26) | trans(s49, s41) | trans(s49, s18) | trans(s49, s37) | trans(s49, s19) | trans(s49, s10) | trans(s49, s35) | trans(s49, s5) | trans(s49, s13) | trans(s49, s2) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s0) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s44) | trans(s49, s46) | trans(s49, s49)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.00 tff(5502,plain,
% 0.94/1.00 (always3(s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5501, 5469, 5455, 5456, 5452, 5454, 5453, 5450, 5451, 5448, 5449, 5437, 5447, 5446, 5445, 5444, 5443, 5442, 5441, 5440, 5439, 5438, 5411, 5436, 5435, 5434, 5433, 5432, 5431, 5430, 5429, 5428, 5427, 5426, 5425, 5424, 5423, 5422, 5421, 5420, 5419, 5418, 5417, 5416, 5415, 5414, 5413, 5412, 5457])).
% 0.94/1.00 tff(5503,plain,
% 0.94/1.00 ($false),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5120, 93, 5502, 5485])).
% 0.94/1.00 tff(5504,plain,(always3(s47)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.00 tff(5505,plain,
% 0.94/1.00 (always3(s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[1075, 5504])).
% 0.94/1.00 tff(5506,plain,
% 0.94/1.00 (~m_main_v_state(s48, c_busy)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5120, 93, 5505])).
% 0.94/1.00 tff(5507,plain,
% 0.94/1.00 ((~node2(s49, s48)) | (~m_main_v_request(s49))),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5484, 5506])).
% 0.94/1.00 tff(5508,plain,
% 0.94/1.00 (~node2(s49, s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5507, 5164])).
% 0.94/1.00 tff(5509,assumption,(~node2(s49, s48)), introduced(assumption)).
% 0.94/1.00 tff(5510,plain,
% 0.94/1.00 ($false),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5473, 2533, 7, 5509])).
% 0.94/1.00 tff(5511,plain,((~trans(s49, s48)) | node2(s49, s48)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.00 tff(5512,plain,
% 0.94/1.00 (~trans(s49, s48)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5511, 5508])).
% 0.94/1.00 tff(5513,plain,
% 0.94/1.00 (trans(s49, s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[3503, 5512, 3868, 5153, 5152, 5151, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 5192, 5163, 3867])).
% 0.94/1.00 tff(5514,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s47)) | node2(s49, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s47)) | node2(s49, s47))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5515,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s47)) | node2(s49, s47))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5516,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s47)) | node2(s49, s47)),
% 0.94/1.00 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 0.94/1.00 tff(5517,plain,
% 0.94/1.00 (node2(s49, s47)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5516, 5513, 7])).
% 0.94/1.00 tff(5518,plain,
% 0.94/1.00 (~m_main_v_state(s47, c_busy)),
% 0.94/1.00 inference(unit_resolution,[status(thm)],[5097, 93, 5504])).
% 0.94/1.00 tff(5519,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s47, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s47)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s47, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s47)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5520,plain,
% 0.94/1.00 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s47, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s47)))),
% 0.94/1.00 inference(rewrite,[status(thm)],[])).
% 0.94/1.00 tff(5521,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s47, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s47))))),
% 0.94/1.00 inference(monotonicity,[status(thm)],[5520])).
% 0.94/1.00 tff(5522,plain,
% 0.94/1.00 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s47, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s47)))),
% 0.94/1.00 inference(transitivity,[status(thm)],[5521, 5519])).
% 0.94/1.00 tff(5523,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s49)))),
% 0.94/1.00 inference(quant_inst,[status(thm)],[])).
% 0.94/1.00 tff(5524,plain,
% 0.94/1.00 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s47, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s47))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 0.94/1.01 tff(5525,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5524, 52, 5518, 5176, 5164, 5517])).
% 0.94/1.01 tff(5526,plain,((~m_main_v_request(s49)) | trans(s49, s10) | trans(s49, s26) | trans(s49, s41) | trans(s49, s44) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s46) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5527,plain,
% 0.94/1.01 (~m_main_v_request(s49)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5526, 5162, 5153, 5152, 5151, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3868, 3867])).
% 0.94/1.01 tff(5528,plain,
% 0.94/1.01 (~node4(s49)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5409, 20, 5527])).
% 0.94/1.01 tff(5529,assumption,(node4(s23)), introduced(assumption)).
% 0.94/1.01 tff(5530,plain,
% 0.94/1.01 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5531,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5532,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5531, 5530])).
% 0.94/1.01 tff(5533,plain,
% 0.94/1.01 (m_main_v_request(s23)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5532, 20, 5529])).
% 0.94/1.01 tff(5534,plain,
% 0.94/1.01 (always3(s23)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1196, 67, 5529])).
% 0.94/1.01 tff(5535,plain,
% 0.94/1.01 (always3(s24)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[870, 5534])).
% 0.94/1.01 tff(5536,plain,
% 0.94/1.01 (~m_main_v_state(s24, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[525, 93, 5535])).
% 0.94/1.01 tff(5537,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5538,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5539,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 0.94/1.01 tff(5540,plain,
% 0.94/1.01 (node2(s23, s24)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5539, 7, 866])).
% 0.94/1.01 tff(5541,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5542,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5543,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5542, 5541])).
% 0.94/1.01 tff(5544,plain,
% 0.94/1.01 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5543, 52, 5540])).
% 0.94/1.01 tff(5545,plain,
% 0.94/1.01 (~m_main_v_state(s23, c_ready)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5544, 5536, 5533])).
% 0.94/1.01 tff(5546,plain,
% 0.94/1.01 (~m_main_v_state(s23, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1894, 93, 5534])).
% 0.94/1.01 tff(5547,plain,
% 0.94/1.01 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5548,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5549,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 0.94/1.01 tff(5550,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5549, 155, 5546, 5545])).
% 0.94/1.01 tff(5551,plain,(~node4(s23)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5552,assumption,(node4(s12)), introduced(assumption)).
% 0.94/1.01 tff(5553,plain,
% 0.94/1.01 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5554,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5555,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 0.94/1.01 tff(5556,plain,
% 0.94/1.01 (m_main_v_request(s12)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5555, 20, 5552])).
% 0.94/1.01 tff(5557,plain,
% 0.94/1.01 (always3(s12)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1224, 67, 5552])).
% 0.94/1.01 tff(5558,plain,
% 0.94/1.01 (always3(s13)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[958, 5557])).
% 0.94/1.01 tff(5559,plain,
% 0.94/1.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5560,plain,
% 0.94/1.01 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5561,plain,
% 0.94/1.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s13)) | (~m_main_v_state(s13, c_busy))))),
% 0.94/1.01 inference(monotonicity,[status(thm)],[5560])).
% 0.94/1.01 tff(5562,plain,
% 0.94/1.01 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 0.94/1.01 inference(transitivity,[status(thm)],[5561, 5559])).
% 0.94/1.01 tff(5563,plain,
% 0.94/1.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5564,plain,
% 0.94/1.01 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 0.94/1.01 tff(5565,plain,
% 0.94/1.01 (~m_main_v_state(s13, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5564, 93, 5558])).
% 0.94/1.01 tff(5566,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5567,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5568,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5567, 5566])).
% 0.94/1.01 tff(5569,plain,
% 0.94/1.01 (node2(s12, s13)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5568, 7, 954])).
% 0.94/1.01 tff(5570,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5571,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5572,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 0.94/1.01 tff(5573,plain,
% 0.94/1.01 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5572, 52, 5569])).
% 0.94/1.01 tff(5574,plain,
% 0.94/1.01 (~m_main_v_state(s12, c_ready)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5573, 5565, 5556])).
% 0.94/1.01 tff(5575,plain,
% 0.94/1.01 (~m_main_v_state(s12, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[423, 93, 5557])).
% 0.94/1.01 tff(5576,plain,
% 0.94/1.01 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5577,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5578,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5577, 5576])).
% 0.94/1.01 tff(5579,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5578, 155, 5575, 5574])).
% 0.94/1.01 tff(5580,plain,(~node4(s12)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5581,plain,
% 0.94/1.01 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s41) | node4(s42) | node4(s43) | node4(s44) | node4(s45) | node4(s46) | (~until5(s49))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5405, 5580, 4807, 5551, 4946])).
% 0.94/1.01 tff(5582,plain,
% 0.94/1.01 (~until5(s49)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5581, 5079, 1469, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 582, 579, 1454, 1453, 1452, 1451, 1450, 1449, 1448, 1447, 1446, 577, 1445, 1444, 5010, 1589, 1578, 1567, 5058, 5528, 583, 575])).
% 0.94/1.01 tff(5583,plain,
% 0.94/1.01 (~xuntil6(s48)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1442, 5582])).
% 0.94/1.01 tff(5584,plain,
% 0.94/1.01 (xuntil6(s48) | (~until5(s48))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1436, 1275, 5306])).
% 0.94/1.01 tff(5585,plain,
% 0.94/1.01 (~until5(s48)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5584, 5583])).
% 0.94/1.01 tff(5586,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1425, 5585, 5124])).
% 0.94/1.01 tff(5587,plain,(always3(s46) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s42) | node4(s43) | node4(s44) | node4(s1) | node4(s0) | (~until5(s46)) | trans(s49, s26) | trans(s49, s41) | trans(s49, s44) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s10) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5588,plain,
% 0.94/1.01 (always3(s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5587, 5074, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 1469, 5073, 5072, 5071, 5070, 5069, 5068, 5067, 5066, 5065, 5064, 5063, 5062, 4775, 4774, 5016, 5020, 583, 575, 5061, 4773, 4761, 4604, 4593, 4582, 4571, 4560, 4549, 4539, 4538, 4537, 4526, 4515, 4359, 4348, 4337, 4326, 4315, 4160, 4159, 4158, 4157, 4146, 4135, 3981, 3980, 3969, 3958, 3957, 3956, 3945, 3944, 3934, 3933, 3922, 3912, 3902, 3892, 3891, 3890, 3880, 3879, 3878, 3877, 3868, 3867])).
% 0.94/1.01 tff(5589,plain,
% 0.94/1.01 (~m_main_v_state(s46, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5036, 93, 5588])).
% 0.94/1.01 tff(5590,plain,
% 0.94/1.01 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5591,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5592,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 0.94/1.01 tff(5593,plain,
% 0.94/1.01 (m_main_v_state(s46, c_ready)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5592, 155, 5589])).
% 0.94/1.01 tff(5594,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5595,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5596,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 0.94/1.01 tff(5597,plain,
% 0.94/1.01 (node2(s46, s47)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5596, 7, 1083])).
% 0.94/1.01 tff(5598,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5599,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5600,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 0.94/1.01 tff(5601,plain,
% 0.94/1.01 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5600, 52, 5597])).
% 0.94/1.01 tff(5602,plain,
% 0.94/1.01 ((~m_main_v_state(s46, c_ready)) | (~m_main_v_request(s46))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5601, 5518])).
% 0.94/1.01 tff(5603,plain,
% 0.94/1.01 (~m_main_v_request(s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5602, 5593])).
% 0.94/1.01 tff(5604,plain,
% 0.94/1.01 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5605,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5606,plain,
% 0.94/1.01 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5605, 5604])).
% 0.94/1.01 tff(5607,plain,
% 0.94/1.01 (~node4(s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5606, 20, 5603])).
% 0.94/1.01 tff(5608,plain,
% 0.94/1.01 (xuntil6(s46) | node4(s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1402, 1275, 5061])).
% 0.94/1.01 tff(5609,plain,
% 0.94/1.01 (xuntil6(s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5608, 5607])).
% 0.94/1.01 tff(5610,plain,
% 0.94/1.01 (until5(s47)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1408, 5609])).
% 0.94/1.01 tff(5611,plain,
% 0.94/1.01 (xuntil6(s47)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5123, 5610])).
% 0.94/1.01 tff(5612,plain,
% 0.94/1.01 (trans(s49, s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5526, 5164, 5153, 5152, 5151, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3868, 3867])).
% 0.94/1.01 tff(5613,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s46)) | node2(s49, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s46)) | node2(s49, s46))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5614,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s46)) | node2(s49, s46))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5615,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s46)) | node2(s49, s46)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5614, 5613])).
% 0.94/1.01 tff(5616,plain,
% 0.94/1.01 (node2(s49, s46)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5615, 5612, 7])).
% 0.94/1.01 tff(5617,assumption,(always3(s46)), introduced(assumption)).
% 0.94/1.01 tff(5618,plain,
% 0.94/1.01 (~m_main_v_state(s46, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5036, 93, 5617])).
% 0.94/1.01 tff(5619,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s46, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s46)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s46, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s46)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5620,plain,
% 0.94/1.01 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s46, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s46)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5621,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s46, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s46))))),
% 0.94/1.01 inference(monotonicity,[status(thm)],[5620])).
% 0.94/1.01 tff(5622,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s46, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s46)))),
% 0.94/1.01 inference(transitivity,[status(thm)],[5621, 5619])).
% 0.94/1.01 tff(5623,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s49)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5624,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s46, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s46))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 0.94/1.01 tff(5625,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5624, 52, 5618, 5176, 5164, 5616])).
% 0.94/1.01 tff(5626,plain,((~m_main_v_request(s49)) | (~always3(s46)) | trans(s49, s26) | trans(s49, s41) | trans(s49, s44) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s10) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5627,plain,
% 0.94/1.01 (~m_main_v_request(s49)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5626, 5588, 4773, 4761, 4604, 4593, 4582, 4571, 4560, 4549, 4539, 4538, 4537, 4526, 4515, 4359, 4348, 4337, 4326, 4315, 4160, 4159, 4158, 4157, 4146, 4135, 3981, 3980, 3969, 3958, 3957, 3956, 3945, 3944, 3934, 3933, 3922, 3912, 3902, 3892, 3891, 3890, 3880, 3879, 3878, 3877, 3868, 3867])).
% 0.94/1.01 tff(5628,plain,
% 0.94/1.01 (~node4(s49)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5409, 20, 5627])).
% 0.94/1.01 tff(5629,plain,
% 0.94/1.01 (~until5(s49)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5581, 5607, 1469, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 5074, 5073, 5072, 5071, 5070, 5069, 5068, 5067, 5066, 5065, 5064, 5063, 5062, 4775, 5010, 4774, 5016, 5020, 5058, 5628, 583, 575])).
% 0.94/1.01 tff(5630,plain,
% 0.94/1.01 (~xuntil6(s48)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1442, 5629])).
% 0.94/1.01 tff(5631,plain,
% 0.94/1.01 (~until5(s48)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5584, 5630])).
% 0.94/1.01 tff(5632,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[1425, 5631, 5611])).
% 0.94/1.01 tff(5633,plain,(always3(s45) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s1) | node4(s0) | trans(s49, s13) | trans(s49, s5) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s7) | trans(s49, s16) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s10) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5634,plain,
% 0.94/1.01 ($false),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5633, 3866, 3865, 640, 3864, 3853, 3852, 3851, 3850, 3849, 3848, 3847, 3846, 3845, 3844, 3843, 3842, 3841, 3840, 3839, 3838, 3837, 3826, 3815, 3804, 3803, 3792, 3781, 3770, 3759, 3748, 3738, 3728, 3718, 3708, 3698, 3688, 3677])).
% 0.94/1.01 tff(5635,plain,(always3(s45)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.01 tff(5636,plain,
% 0.94/1.01 (~m_main_v_state(s45, c_busy)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5052, 93, 5635])).
% 0.94/1.01 tff(5637,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5638,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5639,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45)),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 0.94/1.01 tff(5640,plain,
% 0.94/1.01 (node2(s44, s45)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5639, 7, 647])).
% 0.94/1.01 tff(5641,plain,
% 0.94/1.01 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))),
% 0.94/1.01 inference(rewrite,[status(thm)],[])).
% 0.94/1.01 tff(5642,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))),
% 0.94/1.01 inference(quant_inst,[status(thm)],[])).
% 0.94/1.01 tff(5643,plain,
% 0.94/1.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 0.94/1.01 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 0.94/1.01 tff(5644,plain,
% 0.94/1.01 ((~m_main_v_state(s44, c_ready)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5643, 52, 5640])).
% 0.94/1.01 tff(5645,plain,
% 0.94/1.01 ((~m_main_v_state(s44, c_ready)) | (~m_main_v_request(s44))),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5644, 5636])).
% 0.94/1.01 tff(5646,plain,
% 0.94/1.01 (~m_main_v_state(s44, c_ready)),
% 0.94/1.01 inference(unit_resolution,[status(thm)],[5645, 639])).
% 0.94/1.01 tff(5647,plain,
% 0.94/1.01 (always3(s44)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1361, 67, 635])).
% 0.94/1.02 tff(5648,plain,
% 0.94/1.02 (~m_main_v_state(s44, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[612, 93, 5647])).
% 0.94/1.02 tff(5649,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5650,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5651,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 0.94/1.02 tff(5652,plain,
% 0.94/1.02 ($false),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5651, 155, 5648, 5646])).
% 0.94/1.02 tff(5653,plain,(~node4(s44)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.02 tff(5654,assumption,(node4(s4)), introduced(assumption)).
% 0.94/1.02 tff(5655,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5656,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5657,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5656, 5655])).
% 0.94/1.02 tff(5658,plain,
% 0.94/1.02 (m_main_v_request(s4)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5657, 20, 5654])).
% 0.94/1.02 tff(5659,plain,
% 0.94/1.02 (always3(s4)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1247, 67, 5654])).
% 0.94/1.02 tff(5660,plain,
% 0.94/1.02 (always3(s5)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1021, 5659])).
% 0.94/1.02 tff(5661,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5662,plain,
% 0.94/1.02 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5663,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s5)) | (~m_main_v_state(s5, c_busy))))),
% 0.94/1.02 inference(monotonicity,[status(thm)],[5662])).
% 0.94/1.02 tff(5664,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 0.94/1.02 inference(transitivity,[status(thm)],[5663, 5661])).
% 0.94/1.02 tff(5665,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5666,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 0.94/1.02 tff(5667,plain,
% 0.94/1.02 (~m_main_v_state(s5, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5666, 93, 5660])).
% 0.94/1.02 tff(5668,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5669,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5670,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 0.94/1.02 tff(5671,plain,
% 0.94/1.02 (node2(s4, s5)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5670, 7, 1017])).
% 0.94/1.02 tff(5672,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5673,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5674,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 0.94/1.02 tff(5675,plain,
% 0.94/1.02 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5674, 52, 5671])).
% 0.94/1.02 tff(5676,plain,
% 0.94/1.02 (~m_main_v_state(s4, c_ready)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5675, 5667, 5658])).
% 0.94/1.02 tff(5677,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5678,plain,
% 0.94/1.02 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5679,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s4)) | (~m_main_v_state(s4, c_busy))))),
% 0.94/1.02 inference(monotonicity,[status(thm)],[5678])).
% 0.94/1.02 tff(5680,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 0.94/1.02 inference(transitivity,[status(thm)],[5679, 5677])).
% 0.94/1.02 tff(5681,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5682,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5681, 5680])).
% 0.94/1.02 tff(5683,plain,
% 0.94/1.02 (~m_main_v_state(s4, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5682, 93, 5659])).
% 0.94/1.02 tff(5684,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5685,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5686,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 0.94/1.02 tff(5687,plain,
% 0.94/1.02 ($false),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5686, 155, 5683, 5676])).
% 0.94/1.02 tff(5688,plain,(~node4(s4)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.02 tff(5689,assumption,(node4(s14)), introduced(assumption)).
% 0.94/1.02 tff(5690,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5691,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5692,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 0.94/1.02 tff(5693,plain,
% 0.94/1.02 (m_main_v_request(s14)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5692, 20, 5689])).
% 0.94/1.02 tff(5694,plain,
% 0.94/1.02 (always3(s14)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1216, 67, 5689])).
% 0.94/1.02 tff(5695,plain,
% 0.94/1.02 (always3(s15)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[934, 5694])).
% 0.94/1.02 tff(5696,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5697,plain,
% 0.94/1.02 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5698,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s15)) | (~m_main_v_state(s15, c_busy))))),
% 0.94/1.02 inference(monotonicity,[status(thm)],[5697])).
% 0.94/1.02 tff(5699,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 0.94/1.02 inference(transitivity,[status(thm)],[5698, 5696])).
% 0.94/1.02 tff(5700,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5701,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 0.94/1.02 tff(5702,plain,
% 0.94/1.02 (~m_main_v_state(s15, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5701, 93, 5695])).
% 0.94/1.02 tff(5703,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5704,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5705,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 0.94/1.02 tff(5706,plain,
% 0.94/1.02 (node2(s14, s15)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5705, 7, 930])).
% 0.94/1.02 tff(5707,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5708,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5709,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5708, 5707])).
% 0.94/1.02 tff(5710,plain,
% 0.94/1.02 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5709, 52, 5706])).
% 0.94/1.02 tff(5711,plain,
% 0.94/1.02 (~m_main_v_state(s14, c_ready)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5710, 5702, 5693])).
% 0.94/1.02 tff(5712,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5713,plain,
% 0.94/1.02 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5714,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s14)) | (~m_main_v_state(s14, c_busy))))),
% 0.94/1.02 inference(monotonicity,[status(thm)],[5713])).
% 0.94/1.02 tff(5715,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 0.94/1.02 inference(transitivity,[status(thm)],[5714, 5712])).
% 0.94/1.02 tff(5716,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5717,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 0.94/1.02 tff(5718,plain,
% 0.94/1.02 (~m_main_v_state(s14, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5717, 93, 5694])).
% 0.94/1.02 tff(5719,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5720,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5721,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 0.94/1.02 tff(5722,plain,
% 0.94/1.02 ($false),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5721, 155, 5718, 5711])).
% 0.94/1.02 tff(5723,plain,(~node4(s14)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.02 tff(5724,assumption,(node4(s13)), introduced(assumption)).
% 0.94/1.02 tff(5725,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5726,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5727,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 0.94/1.02 tff(5728,plain,
% 0.94/1.02 (m_main_v_request(s13)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5727, 20, 5724])).
% 0.94/1.02 tff(5729,plain,
% 0.94/1.02 (always3(s13)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1220, 67, 5724])).
% 0.94/1.02 tff(5730,plain,
% 0.94/1.02 (always3(s14)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[946, 5729])).
% 0.94/1.02 tff(5731,plain,
% 0.94/1.02 (~m_main_v_state(s14, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5717, 93, 5730])).
% 0.94/1.02 tff(5732,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5733,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5734,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5733, 5732])).
% 0.94/1.02 tff(5735,plain,
% 0.94/1.02 (node2(s13, s14)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5734, 7, 942])).
% 0.94/1.02 tff(5736,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5737,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5738,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5737, 5736])).
% 0.94/1.02 tff(5739,plain,
% 0.94/1.02 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5738, 52, 5735])).
% 0.94/1.02 tff(5740,plain,
% 0.94/1.02 (~m_main_v_state(s13, c_ready)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5739, 5731, 5728])).
% 0.94/1.02 tff(5741,plain,
% 0.94/1.02 (~m_main_v_state(s13, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5564, 93, 5729])).
% 0.94/1.02 tff(5742,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5743,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5744,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 0.94/1.02 tff(5745,plain,
% 0.94/1.02 ($false),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5744, 155, 5741, 5740])).
% 0.94/1.02 tff(5746,plain,(~node4(s13)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.02 tff(5747,assumption,(node4(s3)), introduced(assumption)).
% 0.94/1.02 tff(5748,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5749,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5750,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5749, 5748])).
% 0.94/1.02 tff(5751,plain,
% 0.94/1.02 (m_main_v_request(s3)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5750, 20, 5747])).
% 0.94/1.02 tff(5752,plain,
% 0.94/1.02 (always3(s3)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1251, 67, 5747])).
% 0.94/1.02 tff(5753,plain,
% 0.94/1.02 (always3(s4)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1033, 5752])).
% 0.94/1.02 tff(5754,plain,
% 0.94/1.02 (~m_main_v_state(s4, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5682, 93, 5753])).
% 0.94/1.02 tff(5755,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5756,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5757,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5756, 5755])).
% 0.94/1.02 tff(5758,plain,
% 0.94/1.02 (node2(s3, s4)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5757, 7, 1029])).
% 0.94/1.02 tff(5759,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5760,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5761,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 0.94/1.02 tff(5762,plain,
% 0.94/1.02 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5761, 52, 5758])).
% 0.94/1.02 tff(5763,plain,
% 0.94/1.02 (~m_main_v_state(s3, c_ready)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5762, 5754, 5751])).
% 0.94/1.02 tff(5764,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5765,plain,
% 0.94/1.02 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5766,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s3)) | (~m_main_v_state(s3, c_busy))))),
% 0.94/1.02 inference(monotonicity,[status(thm)],[5765])).
% 0.94/1.02 tff(5767,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 0.94/1.02 inference(transitivity,[status(thm)],[5766, 5764])).
% 0.94/1.02 tff(5768,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5769,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5768, 5767])).
% 0.94/1.02 tff(5770,plain,
% 0.94/1.02 (~m_main_v_state(s3, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5769, 93, 5752])).
% 0.94/1.02 tff(5771,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5772,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5773,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 0.94/1.02 tff(5774,plain,
% 0.94/1.02 ($false),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5773, 155, 5770, 5763])).
% 0.94/1.02 tff(5775,plain,(~node4(s3)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.02 tff(5776,assumption,(node4(s7)), introduced(assumption)).
% 0.94/1.02 tff(5777,plain,
% 0.94/1.02 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5778,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5779,plain,
% 0.94/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 0.94/1.02 tff(5780,plain,
% 0.94/1.02 (m_main_v_request(s7)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5779, 20, 5776])).
% 0.94/1.02 tff(5781,plain,
% 0.94/1.02 (always3(s7)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[1235, 67, 5776])).
% 0.94/1.02 tff(5782,plain,
% 0.94/1.02 (always3(s8)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[985, 5781])).
% 0.94/1.02 tff(5783,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5784,plain,
% 0.94/1.02 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5785,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s8)) | (~m_main_v_state(s8, c_busy))))),
% 0.94/1.02 inference(monotonicity,[status(thm)],[5784])).
% 0.94/1.02 tff(5786,plain,
% 0.94/1.02 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 0.94/1.02 inference(transitivity,[status(thm)],[5785, 5783])).
% 0.94/1.02 tff(5787,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5788,plain,
% 0.94/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 0.94/1.02 tff(5789,plain,
% 0.94/1.02 (~m_main_v_state(s8, c_busy)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5788, 93, 5782])).
% 0.94/1.02 tff(5790,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8))),
% 0.94/1.02 inference(rewrite,[status(thm)],[])).
% 0.94/1.02 tff(5791,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 0.94/1.02 inference(quant_inst,[status(thm)],[])).
% 0.94/1.02 tff(5792,plain,
% 0.94/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 0.94/1.02 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 0.94/1.02 tff(5793,plain,
% 0.94/1.02 (node2(s7, s8)),
% 0.94/1.02 inference(unit_resolution,[status(thm)],[5792, 7, 981])).
% 0.94/1.02 tff(5794,plain,
% 0.94/1.02 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5795,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5796,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 0.94/1.03 tff(5797,plain,
% 0.94/1.03 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5796, 52, 5793])).
% 0.94/1.03 tff(5798,plain,
% 0.94/1.03 (~m_main_v_state(s7, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5797, 5789, 5780])).
% 0.94/1.03 tff(5799,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5800,plain,
% 0.94/1.03 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5801,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s7)) | (~m_main_v_state(s7, c_busy))))),
% 0.94/1.03 inference(monotonicity,[status(thm)],[5800])).
% 0.94/1.03 tff(5802,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 0.94/1.03 inference(transitivity,[status(thm)],[5801, 5799])).
% 0.94/1.03 tff(5803,plain,
% 0.94/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5804,plain,
% 0.94/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 0.94/1.03 tff(5805,plain,
% 0.94/1.03 (~m_main_v_state(s7, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5804, 93, 5781])).
% 0.94/1.03 tff(5806,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5807,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5808,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5807, 5806])).
% 0.94/1.03 tff(5809,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5808, 155, 5805, 5798])).
% 0.94/1.03 tff(5810,plain,(~node4(s7)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5811,assumption,(node4(s8)), introduced(assumption)).
% 0.94/1.03 tff(5812,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5813,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5814,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5813, 5812])).
% 0.94/1.03 tff(5815,plain,
% 0.94/1.03 (m_main_v_request(s8)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5814, 20, 5811])).
% 0.94/1.03 tff(5816,plain,
% 0.94/1.03 (always3(s8)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1231, 67, 5811])).
% 0.94/1.03 tff(5817,plain,
% 0.94/1.03 (always3(s9)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[973, 5816])).
% 0.94/1.03 tff(5818,plain,
% 0.94/1.03 (~m_main_v_state(s9, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[197, 93, 5817])).
% 0.94/1.03 tff(5819,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5820,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5821,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 0.94/1.03 tff(5822,plain,
% 0.94/1.03 (node2(s8, s9)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5821, 7, 969])).
% 0.94/1.03 tff(5823,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5824,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5825,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 0.94/1.03 tff(5826,plain,
% 0.94/1.03 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5825, 52, 5822])).
% 0.94/1.03 tff(5827,plain,
% 0.94/1.03 (~m_main_v_state(s8, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5826, 5818, 5815])).
% 0.94/1.03 tff(5828,plain,
% 0.94/1.03 (~m_main_v_state(s8, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5788, 93, 5816])).
% 0.94/1.03 tff(5829,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5830,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5831,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5830, 5829])).
% 0.94/1.03 tff(5832,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5831, 155, 5828, 5827])).
% 0.94/1.03 tff(5833,plain,(~node4(s8)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5834,assumption,(node4(s6)), introduced(assumption)).
% 0.94/1.03 tff(5835,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5836,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5837,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 0.94/1.03 tff(5838,plain,
% 0.94/1.03 (m_main_v_request(s6)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5837, 20, 5834])).
% 0.94/1.03 tff(5839,plain,
% 0.94/1.03 (always3(s6)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1239, 67, 5834])).
% 0.94/1.03 tff(5840,plain,
% 0.94/1.03 (always3(s7)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[997, 5839])).
% 0.94/1.03 tff(5841,plain,
% 0.94/1.03 (~m_main_v_state(s7, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5804, 93, 5840])).
% 0.94/1.03 tff(5842,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5843,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5844,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5843, 5842])).
% 0.94/1.03 tff(5845,plain,
% 0.94/1.03 (node2(s6, s7)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5844, 7, 993])).
% 0.94/1.03 tff(5846,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5847,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5848,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 0.94/1.03 tff(5849,plain,
% 0.94/1.03 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5848, 52, 5845])).
% 0.94/1.03 tff(5850,plain,
% 0.94/1.03 (~m_main_v_state(s6, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5849, 5841, 5838])).
% 0.94/1.03 tff(5851,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5852,plain,
% 0.94/1.03 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5853,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s6)) | (~m_main_v_state(s6, c_busy))))),
% 0.94/1.03 inference(monotonicity,[status(thm)],[5852])).
% 0.94/1.03 tff(5854,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 0.94/1.03 inference(transitivity,[status(thm)],[5853, 5851])).
% 0.94/1.03 tff(5855,plain,
% 0.94/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5856,plain,
% 0.94/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 0.94/1.03 tff(5857,plain,
% 0.94/1.03 (~m_main_v_state(s6, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5856, 93, 5839])).
% 0.94/1.03 tff(5858,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5859,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5860,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 0.94/1.03 tff(5861,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5860, 155, 5857, 5850])).
% 0.94/1.03 tff(5862,plain,(~node4(s6)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5863,assumption,(node4(s5)), introduced(assumption)).
% 0.94/1.03 tff(5864,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5865,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5866,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 0.94/1.03 tff(5867,plain,
% 0.94/1.03 (m_main_v_request(s5)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5866, 20, 5863])).
% 0.94/1.03 tff(5868,plain,
% 0.94/1.03 (always3(s5)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1243, 67, 5863])).
% 0.94/1.03 tff(5869,plain,
% 0.94/1.03 (always3(s6)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1009, 5868])).
% 0.94/1.03 tff(5870,plain,
% 0.94/1.03 (~m_main_v_state(s6, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5856, 93, 5869])).
% 0.94/1.03 tff(5871,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5872,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5873,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 0.94/1.03 tff(5874,plain,
% 0.94/1.03 (node2(s5, s6)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5873, 7, 1005])).
% 0.94/1.03 tff(5875,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5876,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5877,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 0.94/1.03 tff(5878,plain,
% 0.94/1.03 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5877, 52, 5874])).
% 0.94/1.03 tff(5879,plain,
% 0.94/1.03 (~m_main_v_state(s5, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5878, 5870, 5867])).
% 0.94/1.03 tff(5880,plain,
% 0.94/1.03 (~m_main_v_state(s5, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5666, 93, 5868])).
% 0.94/1.03 tff(5881,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5882,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5883,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5882, 5881])).
% 0.94/1.03 tff(5884,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5883, 155, 5880, 5879])).
% 0.94/1.03 tff(5885,plain,(~node4(s5)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5886,assumption,(node4(s2)), introduced(assumption)).
% 0.94/1.03 tff(5887,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5888,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5889,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 0.94/1.03 tff(5890,plain,
% 0.94/1.03 (m_main_v_request(s2)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5889, 20, 5886])).
% 0.94/1.03 tff(5891,plain,
% 0.94/1.03 (always3(s2)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1255, 67, 5886])).
% 0.94/1.03 tff(5892,plain,
% 0.94/1.03 (always3(s3)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1045, 5891])).
% 0.94/1.03 tff(5893,plain,
% 0.94/1.03 (~m_main_v_state(s3, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5769, 93, 5892])).
% 0.94/1.03 tff(5894,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5895,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5896,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 0.94/1.03 tff(5897,plain,
% 0.94/1.03 (node2(s2, s3)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5896, 7, 1041])).
% 0.94/1.03 tff(5898,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5899,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5900,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 0.94/1.03 tff(5901,plain,
% 0.94/1.03 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5900, 52, 5897])).
% 0.94/1.03 tff(5902,plain,
% 0.94/1.03 (~m_main_v_state(s2, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5901, 5893, 5890])).
% 0.94/1.03 tff(5903,plain,
% 0.94/1.03 (~m_main_v_state(s2, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[230, 93, 5891])).
% 0.94/1.03 tff(5904,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5905,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5906,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5905, 5904])).
% 0.94/1.03 tff(5907,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5906, 155, 5903, 5902])).
% 0.94/1.03 tff(5908,plain,(~node4(s2)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5909,assumption,(node4(s16)), introduced(assumption)).
% 0.94/1.03 tff(5910,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5911,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5912,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 0.94/1.03 tff(5913,plain,
% 0.94/1.03 (m_main_v_request(s16)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5912, 20, 5909])).
% 0.94/1.03 tff(5914,plain,
% 0.94/1.03 (always3(s16)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1208, 67, 5909])).
% 0.94/1.03 tff(5915,plain,
% 0.94/1.03 (always3(s17)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[910, 5914])).
% 0.94/1.03 tff(5916,plain,
% 0.94/1.03 (~m_main_v_state(s17, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[327, 93, 5915])).
% 0.94/1.03 tff(5917,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5918,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5919,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 0.94/1.03 tff(5920,plain,
% 0.94/1.03 (node2(s16, s17)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5919, 7, 906])).
% 0.94/1.03 tff(5921,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5922,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5923,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5922, 5921])).
% 0.94/1.03 tff(5924,plain,
% 0.94/1.03 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5923, 52, 5920])).
% 0.94/1.03 tff(5925,plain,
% 0.94/1.03 (~m_main_v_state(s16, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5924, 5916, 5913])).
% 0.94/1.03 tff(5926,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5927,plain,
% 0.94/1.03 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5928,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s16)) | (~m_main_v_state(s16, c_busy))))),
% 0.94/1.03 inference(monotonicity,[status(thm)],[5927])).
% 0.94/1.03 tff(5929,plain,
% 0.94/1.03 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 0.94/1.03 inference(transitivity,[status(thm)],[5928, 5926])).
% 0.94/1.03 tff(5930,plain,
% 0.94/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5931,plain,
% 0.94/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 0.94/1.03 tff(5932,plain,
% 0.94/1.03 (~m_main_v_state(s16, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5931, 93, 5914])).
% 0.94/1.03 tff(5933,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5934,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5935,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 0.94/1.03 tff(5936,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5935, 155, 5932, 5925])).
% 0.94/1.03 tff(5937,plain,(~node4(s16)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5938,assumption,(node4(s15)), introduced(assumption)).
% 0.94/1.03 tff(5939,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5940,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5941,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 0.94/1.03 tff(5942,plain,
% 0.94/1.03 (m_main_v_request(s15)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5941, 20, 5938])).
% 0.94/1.03 tff(5943,plain,
% 0.94/1.03 (always3(s15)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[1212, 67, 5938])).
% 0.94/1.03 tff(5944,plain,
% 0.94/1.03 (always3(s16)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[922, 5943])).
% 0.94/1.03 tff(5945,plain,
% 0.94/1.03 (~m_main_v_state(s16, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5931, 93, 5944])).
% 0.94/1.03 tff(5946,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5947,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5948,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 0.94/1.03 tff(5949,plain,
% 0.94/1.03 (node2(s15, s16)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5948, 7, 918])).
% 0.94/1.03 tff(5950,plain,
% 0.94/1.03 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5951,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5952,plain,
% 0.94/1.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5951, 5950])).
% 0.94/1.03 tff(5953,plain,
% 0.94/1.03 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5952, 52, 5949])).
% 0.94/1.03 tff(5954,plain,
% 0.94/1.03 (~m_main_v_state(s15, c_ready)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5953, 5945, 5942])).
% 0.94/1.03 tff(5955,plain,
% 0.94/1.03 (~m_main_v_state(s15, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5701, 93, 5943])).
% 0.94/1.03 tff(5956,plain,
% 0.94/1.03 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready))),
% 0.94/1.03 inference(rewrite,[status(thm)],[])).
% 0.94/1.03 tff(5957,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready))),
% 0.94/1.03 inference(quant_inst,[status(thm)],[])).
% 0.94/1.03 tff(5958,plain,
% 0.94/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready)),
% 0.94/1.03 inference(modus_ponens,[status(thm)],[5957, 5956])).
% 0.94/1.03 tff(5959,plain,
% 0.94/1.03 ($false),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5958, 155, 5955, 5954])).
% 0.94/1.03 tff(5960,plain,(~node4(s15)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.03 tff(5961,plain,
% 0.94/1.03 (xuntil6(s0)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3006, 575])).
% 0.94/1.03 tff(5962,plain,
% 0.94/1.03 (until5(s1)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3011, 5961])).
% 0.94/1.03 tff(5963,plain,
% 0.94/1.03 (xuntil6(s1) | node4(s1)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3018, 1275, 5962])).
% 0.94/1.03 tff(5964,plain,
% 0.94/1.03 (xuntil6(s1)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5963, 583])).
% 0.94/1.03 tff(5965,plain,
% 0.94/1.03 (until5(s2)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3023, 5964])).
% 0.94/1.03 tff(5966,plain,
% 0.94/1.03 (xuntil6(s2) | node4(s2)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3031, 1275, 5965])).
% 0.94/1.03 tff(5967,plain,
% 0.94/1.03 (xuntil6(s2)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5966, 1469])).
% 0.94/1.03 tff(5968,plain,
% 0.94/1.03 (until5(s3)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3037, 5967])).
% 0.94/1.03 tff(5969,plain,
% 0.94/1.03 (xuntil6(s3)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3045, 1275, 5968, 1468])).
% 0.94/1.03 tff(5970,plain,
% 0.94/1.03 (until5(s4)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3051, 5969])).
% 0.94/1.03 tff(5971,plain,
% 0.94/1.03 (xuntil6(s4)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3059, 1275, 5970, 1467])).
% 0.94/1.03 tff(5972,plain,
% 0.94/1.03 (until5(s5)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3065, 5971])).
% 0.94/1.03 tff(5973,plain,
% 0.94/1.03 (xuntil6(s5)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3073, 1275, 5972, 1466])).
% 0.94/1.03 tff(5974,plain,
% 0.94/1.03 (until5(s6)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3079, 5973])).
% 0.94/1.03 tff(5975,plain,
% 0.94/1.03 (xuntil6(s6)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3087, 1275, 5974, 1465])).
% 0.94/1.03 tff(5976,plain,
% 0.94/1.03 (until5(s7)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3093, 5975])).
% 0.94/1.03 tff(5977,plain,
% 0.94/1.03 (xuntil6(s7)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3101, 1275, 5976, 1464])).
% 0.94/1.03 tff(5978,plain,
% 0.94/1.03 (until5(s8)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3107, 5977])).
% 0.94/1.03 tff(5979,plain,
% 0.94/1.03 (xuntil6(s8)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3115, 1275, 5978, 1463])).
% 0.94/1.03 tff(5980,plain,
% 0.94/1.03 (until5(s9)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3121, 5979])).
% 0.94/1.03 tff(5981,plain,
% 0.94/1.03 (xuntil6(s9)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3129, 1275, 5980, 576])).
% 0.94/1.03 tff(5982,plain,
% 0.94/1.03 (until5(s10)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3135, 5981])).
% 0.94/1.03 tff(5983,plain,
% 0.94/1.03 (xuntil6(s10)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3143, 1275, 5982, 580])).
% 0.94/1.03 tff(5984,plain,
% 0.94/1.03 (until5(s11)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3149, 5983])).
% 0.94/1.03 tff(5985,plain,
% 0.94/1.03 (xuntil6(s11)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3157, 1275, 5984, 581])).
% 0.94/1.03 tff(5986,plain,
% 0.94/1.03 (until5(s12)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3163, 5985])).
% 0.94/1.03 tff(5987,plain,
% 0.94/1.03 (xuntil6(s12) | (~until5(s12))),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3171, 1275, 5580])).
% 0.94/1.03 tff(5988,plain,
% 0.94/1.03 (xuntil6(s12)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5987, 5986])).
% 0.94/1.03 tff(5989,plain,
% 0.94/1.03 (until5(s13)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3177, 5988])).
% 0.94/1.03 tff(5990,plain,
% 0.94/1.03 (xuntil6(s13)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3185, 1275, 5989, 1461])).
% 0.94/1.03 tff(5991,plain,
% 0.94/1.03 (until5(s14)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3191, 5990])).
% 0.94/1.03 tff(5992,plain,
% 0.94/1.03 (xuntil6(s14)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3199, 1275, 5991, 1460])).
% 0.94/1.03 tff(5993,plain,
% 0.94/1.03 (until5(s15)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3205, 5992])).
% 0.94/1.03 tff(5994,plain,
% 0.94/1.03 (xuntil6(s15) | node4(s15)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3213, 1275, 5993])).
% 0.94/1.03 tff(5995,plain,
% 0.94/1.03 (xuntil6(s15)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[5994, 1459])).
% 0.94/1.03 tff(5996,plain,
% 0.94/1.03 (until5(s16)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3219, 5995])).
% 0.94/1.03 tff(5997,plain,
% 0.94/1.03 (xuntil6(s16)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3227, 1275, 5996, 1458])).
% 0.94/1.03 tff(5998,plain,
% 0.94/1.03 (until5(s17)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3233, 5997])).
% 0.94/1.03 tff(5999,plain,
% 0.94/1.03 (xuntil6(s17)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3241, 1275, 5998, 585])).
% 0.94/1.03 tff(6000,plain,
% 0.94/1.03 (until5(s18)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3247, 5999])).
% 0.94/1.03 tff(6001,plain,
% 0.94/1.03 (xuntil6(s18)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3255, 1275, 6000, 578])).
% 0.94/1.03 tff(6002,plain,
% 0.94/1.03 (until5(s19)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3261, 6001])).
% 0.94/1.03 tff(6003,plain,
% 0.94/1.03 (xuntil6(s19)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[4808, 6002])).
% 0.94/1.03 tff(6004,plain,
% 0.94/1.03 (until5(s20)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3275, 6003])).
% 0.94/1.03 tff(6005,plain,
% 0.94/1.03 (xuntil6(s20) | node4(s20)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3283, 1275, 6004])).
% 0.94/1.03 tff(6006,plain,
% 0.94/1.03 (xuntil6(s20)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[6005, 1456])).
% 0.94/1.03 tff(6007,plain,
% 0.94/1.03 (until5(s21)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[3289, 6006])).
% 0.94/1.03 tff(6008,plain,
% 0.94/1.03 (always3(s21)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[4904, 4779])).
% 0.94/1.03 tff(6009,plain,
% 0.94/1.03 (always3(s22)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[367, 6008])).
% 0.94/1.03 tff(6010,plain,
% 0.94/1.03 (~m_main_v_state(s22, c_busy)),
% 0.94/1.03 inference(unit_resolution,[status(thm)],[374, 93, 6009])).
% 0.94/1.04 tff(6011,assumption,(until5(s21)), introduced(assumption)).
% 0.94/1.04 tff(6012,plain,
% 0.94/1.04 (xuntil6(s21) | node4(s21)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[3297, 1275, 6011])).
% 0.94/1.04 tff(6013,plain,
% 0.94/1.04 (node4(s21)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6012, 4779])).
% 0.94/1.04 tff(6014,plain,
% 0.94/1.04 (m_main_v_request(s21)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[351, 20, 6013])).
% 0.94/1.04 tff(6015,plain,
% 0.94/1.04 (~m_main_v_state(s21, c_ready)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[383, 6014, 6010])).
% 0.94/1.04 tff(6016,plain,
% 0.94/1.04 (~m_main_v_state(s21, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[390, 93, 6008])).
% 0.94/1.04 tff(6017,plain,
% 0.94/1.04 ($false),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[394, 155, 6016, 6015])).
% 0.94/1.04 tff(6018,plain,(xuntil6(s21) | (~until5(s21))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.04 tff(6019,plain,
% 0.94/1.04 (xuntil6(s21)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6018, 6007])).
% 0.94/1.04 tff(6020,plain,
% 0.94/1.04 (until5(s22)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[3303, 6019])).
% 0.94/1.04 tff(6021,plain,
% 0.94/1.04 (always3(s37)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[3599, 3524, 3569])).
% 0.94/1.04 tff(6022,plain,
% 0.94/1.04 (always3(s38)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[724, 6021])).
% 0.94/1.04 tff(6023,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6024,plain,
% 0.94/1.04 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6025,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s38)) | (~m_main_v_state(s38, c_busy))))),
% 0.94/1.04 inference(monotonicity,[status(thm)],[6024])).
% 0.94/1.04 tff(6026,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 0.94/1.04 inference(transitivity,[status(thm)],[6025, 6023])).
% 0.94/1.04 tff(6027,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6028,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 0.94/1.04 tff(6029,plain,
% 0.94/1.04 (~m_main_v_state(s38, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6028, 93, 6022])).
% 0.94/1.04 tff(6030,assumption,(until5(s37)), introduced(assumption)).
% 0.94/1.04 tff(6031,plain,
% 0.94/1.04 (xuntil6(s37) | node4(s37)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2787, 1275, 6030])).
% 0.94/1.04 tff(6032,plain,
% 0.94/1.04 (node4(s37)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6031, 3524])).
% 0.94/1.04 tff(6033,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6034,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6035,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 0.94/1.04 tff(6036,plain,
% 0.94/1.04 (m_main_v_request(s37)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6035, 20, 6032])).
% 0.94/1.04 tff(6037,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6038,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6039,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 0.94/1.04 tff(6040,plain,
% 0.94/1.04 (node2(s37, s38)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6039, 7, 720])).
% 0.94/1.04 tff(6041,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6042,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6043,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 0.94/1.04 tff(6044,plain,
% 0.94/1.04 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6043, 52, 6040])).
% 0.94/1.04 tff(6045,plain,
% 0.94/1.04 (~m_main_v_state(s37, c_ready)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6044, 6036, 6029])).
% 0.94/1.04 tff(6046,plain,
% 0.94/1.04 (~m_main_v_state(s37, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[273, 93, 6021])).
% 0.94/1.04 tff(6047,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6048,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6049,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 0.94/1.04 tff(6050,plain,
% 0.94/1.04 ($false),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6049, 155, 6046, 6045])).
% 0.94/1.04 tff(6051,plain,(xuntil6(s37) | (~until5(s37)) | (~until5(s22))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.04 tff(6052,plain,
% 0.94/1.04 (~until5(s37)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6051, 3569, 3524])).
% 0.94/1.04 tff(6053,plain,
% 0.94/1.04 (~xuntil6(s36)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2793, 6052])).
% 0.94/1.04 tff(6054,plain,
% 0.94/1.04 (~until5(s36)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2802, 1275, 6053, 577])).
% 0.94/1.04 tff(6055,plain,
% 0.94/1.04 (~xuntil6(s35)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2808, 6054])).
% 0.94/1.04 tff(6056,assumption,(node4(s35)), introduced(assumption)).
% 0.94/1.04 tff(6057,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6058,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6059,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 0.94/1.04 tff(6060,plain,
% 0.94/1.04 (m_main_v_request(s35)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6059, 20, 6056])).
% 0.94/1.04 tff(6061,plain,
% 0.94/1.04 (always3(s35)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1159, 67, 6056])).
% 0.94/1.04 tff(6062,plain,
% 0.94/1.04 (always3(s36)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[737, 6061])).
% 0.94/1.04 tff(6063,plain,
% 0.94/1.04 (~m_main_v_state(s36, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[289, 93, 6062])).
% 0.94/1.04 tff(6064,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6065,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6066,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6065, 6064])).
% 0.94/1.04 tff(6067,plain,
% 0.94/1.04 (node2(s35, s36)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6066, 7, 733])).
% 0.94/1.04 tff(6068,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6069,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6070,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 0.94/1.04 tff(6071,plain,
% 0.94/1.04 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6070, 52, 6067])).
% 0.94/1.04 tff(6072,plain,
% 0.94/1.04 (~m_main_v_state(s35, c_ready)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6071, 6063, 6060])).
% 0.94/1.04 tff(6073,plain,
% 0.94/1.04 (~m_main_v_state(s35, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1688, 93, 6061])).
% 0.94/1.04 tff(6074,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6075,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6076,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 0.94/1.04 tff(6077,plain,
% 0.94/1.04 ($false),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6076, 155, 6073, 6072])).
% 0.94/1.04 tff(6078,plain,(~node4(s35)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.04 tff(6079,plain,
% 0.94/1.04 (xuntil6(s35) | (~until5(s35))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2817, 1275, 6078])).
% 0.94/1.04 tff(6080,plain,
% 0.94/1.04 (~until5(s35)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6079, 6055])).
% 0.94/1.04 tff(6081,plain,
% 0.94/1.04 (~xuntil6(s34)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2823, 6080])).
% 0.94/1.04 tff(6082,plain,
% 0.94/1.04 (xuntil6(s34) | (~until5(s34))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2832, 1275, 1710])).
% 0.94/1.04 tff(6083,plain,
% 0.94/1.04 (~until5(s34)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6082, 6081])).
% 0.94/1.04 tff(6084,plain,
% 0.94/1.04 (~xuntil6(s33)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2838, 6083])).
% 0.94/1.04 tff(6085,assumption,(node4(s33)), introduced(assumption)).
% 0.94/1.04 tff(6086,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6087,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6088,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6087, 6086])).
% 0.94/1.04 tff(6089,plain,
% 0.94/1.04 (m_main_v_request(s33)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6088, 20, 6085])).
% 0.94/1.04 tff(6090,plain,
% 0.94/1.04 (always3(s33)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1163, 67, 6085])).
% 0.94/1.04 tff(6091,plain,
% 0.94/1.04 (always3(s34)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[761, 6090])).
% 0.94/1.04 tff(6092,plain,
% 0.94/1.04 (~m_main_v_state(s34, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1704, 93, 6091])).
% 0.94/1.04 tff(6093,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6094,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6095,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 0.94/1.04 tff(6096,plain,
% 0.94/1.04 (node2(s33, s34)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6095, 7, 757])).
% 0.94/1.04 tff(6097,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6098,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6099,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6098, 6097])).
% 0.94/1.04 tff(6100,plain,
% 0.94/1.04 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6099, 52, 6096])).
% 0.94/1.04 tff(6101,plain,
% 0.94/1.04 (~m_main_v_state(s33, c_ready)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6100, 6092, 6089])).
% 0.94/1.04 tff(6102,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6103,plain,
% 0.94/1.04 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6104,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s33)) | (~m_main_v_state(s33, c_busy))))),
% 0.94/1.04 inference(monotonicity,[status(thm)],[6103])).
% 0.94/1.04 tff(6105,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 0.94/1.04 inference(transitivity,[status(thm)],[6104, 6102])).
% 0.94/1.04 tff(6106,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6107,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6106, 6105])).
% 0.94/1.04 tff(6108,plain,
% 0.94/1.04 (~m_main_v_state(s33, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6107, 93, 6090])).
% 0.94/1.04 tff(6109,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6110,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6111,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6110, 6109])).
% 0.94/1.04 tff(6112,plain,
% 0.94/1.04 ($false),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6111, 155, 6108, 6101])).
% 0.94/1.04 tff(6113,plain,(~node4(s33)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.04 tff(6114,plain,
% 0.94/1.04 (xuntil6(s33) | (~until5(s33))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2847, 1275, 6113])).
% 0.94/1.04 tff(6115,plain,
% 0.94/1.04 (~until5(s33)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6114, 6084])).
% 0.94/1.04 tff(6116,plain,
% 0.94/1.04 (~xuntil6(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2853, 6115])).
% 0.94/1.04 tff(6117,assumption,(until5(s31)), introduced(assumption)).
% 0.94/1.04 tff(6118,assumption,(~xuntil6(s32)), introduced(assumption)).
% 0.94/1.04 tff(6119,plain,
% 0.94/1.04 (~node4(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1167, 67, 3881])).
% 0.94/1.04 tff(6120,plain,
% 0.94/1.04 (node4(s32) | (~until5(s32))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2862, 1275, 6118])).
% 0.94/1.04 tff(6121,plain,
% 0.94/1.04 (~until5(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6120, 6119])).
% 0.94/1.04 tff(6122,plain,
% 0.94/1.04 (~always3(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[785, 3881])).
% 0.94/1.04 tff(6123,plain,
% 0.94/1.04 (~node4(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1171, 67, 6122])).
% 0.94/1.04 tff(6124,plain,
% 0.94/1.04 (xuntil6(s31) | node4(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2877, 1275, 6117])).
% 0.94/1.04 tff(6125,plain,
% 0.94/1.04 (xuntil6(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6124, 6123])).
% 0.94/1.04 tff(6126,plain,
% 0.94/1.04 ($false),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2868, 6125, 6121])).
% 0.94/1.04 tff(6127,plain,(always3(s32) | (~until5(s31)) | xuntil6(s32)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.04 tff(6128,plain,
% 0.94/1.04 (always3(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6127, 6118, 6117])).
% 0.94/1.04 tff(6129,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6130,plain,
% 0.94/1.04 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6131,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s32)) | (~m_main_v_state(s32, c_busy))))),
% 0.94/1.04 inference(monotonicity,[status(thm)],[6130])).
% 0.94/1.04 tff(6132,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 0.94/1.04 inference(transitivity,[status(thm)],[6131, 6129])).
% 0.94/1.04 tff(6133,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6134,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 0.94/1.04 tff(6135,plain,
% 0.94/1.04 (~m_main_v_state(s32, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6134, 93, 6128])).
% 0.94/1.04 tff(6136,plain,
% 0.94/1.04 (always3(s33)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[773, 6128])).
% 0.94/1.04 tff(6137,plain,
% 0.94/1.04 (~m_main_v_state(s33, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6107, 93, 6136])).
% 0.94/1.04 tff(6138,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6139,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6140,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 0.94/1.04 tff(6141,plain,
% 0.94/1.04 (m_main_v_state(s32, c_ready)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6140, 155, 6135])).
% 0.94/1.04 tff(6142,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6143,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6144,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6143, 6142])).
% 0.94/1.04 tff(6145,plain,
% 0.94/1.04 (node2(s32, s33)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6144, 7, 769])).
% 0.94/1.04 tff(6146,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6147,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6148,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 0.94/1.04 tff(6149,plain,
% 0.94/1.04 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6148, 52, 6145])).
% 0.94/1.04 tff(6150,plain,
% 0.94/1.04 (~m_main_v_request(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6149, 6141, 6137])).
% 0.94/1.04 tff(6151,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6152,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6153,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6152, 6151])).
% 0.94/1.04 tff(6154,plain,
% 0.94/1.04 (~node4(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6153, 20, 6150])).
% 0.94/1.04 tff(6155,plain,
% 0.94/1.04 (~until5(s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6120, 6154])).
% 0.94/1.04 tff(6156,plain,
% 0.94/1.04 (~xuntil6(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2868, 6155])).
% 0.94/1.04 tff(6157,plain,
% 0.94/1.04 (node4(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6124, 6156])).
% 0.94/1.04 tff(6158,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6159,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6160,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 0.94/1.04 tff(6161,plain,
% 0.94/1.04 (m_main_v_request(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6160, 20, 6157])).
% 0.94/1.04 tff(6162,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6163,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6164,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 0.94/1.04 tff(6165,plain,
% 0.94/1.04 (node2(s31, s32)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6164, 7, 781])).
% 0.94/1.04 tff(6166,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6167,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6168,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6167, 6166])).
% 0.94/1.04 tff(6169,plain,
% 0.94/1.04 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6168, 52, 6165])).
% 0.94/1.04 tff(6170,plain,
% 0.94/1.04 (~m_main_v_state(s31, c_ready)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6169, 6161, 6135])).
% 0.94/1.04 tff(6171,plain,
% 0.94/1.04 (always3(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1171, 67, 6157])).
% 0.94/1.04 tff(6172,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6173,plain,
% 0.94/1.04 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6174,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s31)) | (~m_main_v_state(s31, c_busy))))),
% 0.94/1.04 inference(monotonicity,[status(thm)],[6173])).
% 0.94/1.04 tff(6175,plain,
% 0.94/1.04 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 0.94/1.04 inference(transitivity,[status(thm)],[6174, 6172])).
% 0.94/1.04 tff(6176,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6177,plain,
% 0.94/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6176, 6175])).
% 0.94/1.04 tff(6178,plain,
% 0.94/1.04 (~m_main_v_state(s31, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6177, 93, 6171])).
% 0.94/1.04 tff(6179,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6180,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6181,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 0.94/1.04 tff(6182,plain,
% 0.94/1.04 ($false),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6181, 155, 6178, 6170])).
% 0.94/1.04 tff(6183,plain,(xuntil6(s32) | (~until5(s31))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.04 tff(6184,plain,
% 0.94/1.04 (~until5(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6183, 6116])).
% 0.94/1.04 tff(6185,plain,
% 0.94/1.04 (~xuntil6(s30)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[2883, 6184])).
% 0.94/1.04 tff(6186,assumption,(node4(s30)), introduced(assumption)).
% 0.94/1.04 tff(6187,plain,
% 0.94/1.04 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30)))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6188,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6189,plain,
% 0.94/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6188, 6187])).
% 0.94/1.04 tff(6190,plain,
% 0.94/1.04 (m_main_v_request(s30)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6189, 20, 6186])).
% 0.94/1.04 tff(6191,plain,
% 0.94/1.04 (always3(s30)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[1175, 67, 6186])).
% 0.94/1.04 tff(6192,plain,
% 0.94/1.04 (always3(s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[797, 6191])).
% 0.94/1.04 tff(6193,plain,
% 0.94/1.04 (~m_main_v_state(s31, c_busy)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6177, 93, 6192])).
% 0.94/1.04 tff(6194,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31))),
% 0.94/1.04 inference(rewrite,[status(thm)],[])).
% 0.94/1.04 tff(6195,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 0.94/1.04 inference(quant_inst,[status(thm)],[])).
% 0.94/1.04 tff(6196,plain,
% 0.94/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 0.94/1.04 inference(modus_ponens,[status(thm)],[6195, 6194])).
% 0.94/1.04 tff(6197,plain,
% 0.94/1.04 (node2(s30, s31)),
% 0.94/1.04 inference(unit_resolution,[status(thm)],[6196, 7, 793])).
% 0.94/1.04 tff(6198,plain,
% 0.94/1.04 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6199,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6200,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 0.94/1.05 tff(6201,plain,
% 0.94/1.05 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6200, 52, 6197])).
% 0.94/1.05 tff(6202,plain,
% 0.94/1.05 (~m_main_v_state(s30, c_ready)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6201, 6193, 6190])).
% 0.94/1.05 tff(6203,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6204,plain,
% 0.94/1.05 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6205,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s30)) | (~m_main_v_state(s30, c_busy))))),
% 0.94/1.05 inference(monotonicity,[status(thm)],[6204])).
% 0.94/1.05 tff(6206,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 0.94/1.05 inference(transitivity,[status(thm)],[6205, 6203])).
% 0.94/1.05 tff(6207,plain,
% 0.94/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6208,plain,
% 0.94/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 0.94/1.05 tff(6209,plain,
% 0.94/1.05 (~m_main_v_state(s30, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6208, 93, 6191])).
% 0.94/1.05 tff(6210,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6211,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6212,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 0.94/1.05 tff(6213,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6212, 155, 6209, 6202])).
% 0.94/1.05 tff(6214,plain,(~node4(s30)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6215,plain,
% 0.94/1.05 (xuntil6(s30) | (~until5(s30))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2892, 1275, 6214])).
% 0.94/1.05 tff(6216,plain,
% 0.94/1.05 (~until5(s30)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6215, 6185])).
% 0.94/1.05 tff(6217,plain,
% 0.94/1.05 (~xuntil6(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2898, 6216])).
% 0.94/1.05 tff(6218,assumption,(~xuntil6(s29)), introduced(assumption)).
% 0.94/1.05 tff(6219,plain,
% 0.94/1.05 (~always3(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[821, 3903])).
% 0.94/1.05 tff(6220,plain,
% 0.94/1.05 (~node4(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1183, 67, 6219])).
% 0.94/1.05 tff(6221,plain,
% 0.94/1.05 (~node4(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1179, 67, 3903])).
% 0.94/1.05 tff(6222,plain,
% 0.94/1.05 (node4(s29) | (~until5(s29))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2907, 1275, 6218])).
% 0.94/1.05 tff(6223,plain,
% 0.94/1.05 (~until5(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6222, 6221])).
% 0.94/1.05 tff(6224,plain,
% 0.94/1.05 (~xuntil6(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2913, 6223])).
% 0.94/1.05 tff(6225,plain,
% 0.94/1.05 (~until5(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2922, 1275, 6224, 6220])).
% 0.94/1.05 tff(6226,plain,
% 0.94/1.05 (~xuntil6(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2928, 6225])).
% 0.94/1.05 tff(6227,plain,
% 0.94/1.05 (~always3(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[833, 6219])).
% 0.94/1.05 tff(6228,plain,
% 0.94/1.05 (~node4(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1788, 67, 6227])).
% 0.94/1.05 tff(6229,plain,
% 0.94/1.05 (xuntil6(s27) | (~until5(s27))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2937, 1275, 6228])).
% 0.94/1.05 tff(6230,plain,
% 0.94/1.05 (~until5(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6229, 6226])).
% 0.94/1.05 tff(6231,plain,
% 0.94/1.05 (~xuntil6(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2943, 6230])).
% 0.94/1.05 tff(6232,plain,
% 0.94/1.05 (~always3(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[845, 6227])).
% 0.94/1.05 tff(6233,plain,
% 0.94/1.05 (~node4(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1187, 67, 6232])).
% 0.94/1.05 tff(6234,plain,
% 0.94/1.05 (xuntil6(s26) | (~until5(s26))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2952, 1275, 6233])).
% 0.94/1.05 tff(6235,plain,
% 0.94/1.05 (~until5(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6234, 6231])).
% 0.94/1.05 tff(6236,plain,
% 0.94/1.05 (~always3(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[857, 6232])).
% 0.94/1.05 tff(6237,plain,
% 0.94/1.05 (~always3(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[502, 6236])).
% 0.94/1.05 tff(6238,plain,
% 0.94/1.05 (~always3(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[870, 6237])).
% 0.94/1.05 tff(6239,plain,
% 0.94/1.05 (~node4(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1196, 67, 6238])).
% 0.94/1.05 tff(6240,plain,
% 0.94/1.05 (~always3(s22)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[882, 6238])).
% 0.94/1.05 tff(6241,plain,
% 0.94/1.05 (~node4(s22)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1886, 67, 6240])).
% 0.94/1.05 tff(6242,plain,
% 0.94/1.05 (xuntil6(s22)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3570, 6241])).
% 0.94/1.05 tff(6243,plain,
% 0.94/1.05 (until5(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3317, 6242])).
% 0.94/1.05 tff(6244,plain,
% 0.94/1.05 (xuntil6(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3325, 1275, 6243, 6239])).
% 0.94/1.05 tff(6245,plain,
% 0.94/1.05 (until5(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3331, 6244])).
% 0.94/1.05 tff(6246,plain,
% 0.94/1.05 (~node4(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[490, 67, 6237])).
% 0.94/1.05 tff(6247,plain,
% 0.94/1.05 (xuntil6(s24) | (~until5(s24))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3339, 1275, 6246])).
% 0.94/1.05 tff(6248,plain,
% 0.94/1.05 (xuntil6(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6247, 6245])).
% 0.94/1.05 tff(6249,plain,
% 0.94/1.05 (until5(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3345, 6248])).
% 0.94/1.05 tff(6250,plain,
% 0.94/1.05 (~node4(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1191, 67, 6236])).
% 0.94/1.05 tff(6251,plain,
% 0.94/1.05 (xuntil6(s25) | (~until5(s25))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2967, 1275, 6250])).
% 0.94/1.05 tff(6252,plain,
% 0.94/1.05 (xuntil6(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6251, 6249])).
% 0.94/1.05 tff(6253,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2958, 6252, 6235])).
% 0.94/1.05 tff(6254,plain,(always3(s29) | (~until5(s22)) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6255,plain,
% 0.94/1.05 (always3(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6254, 6218, 3569])).
% 0.94/1.05 tff(6256,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6257,plain,
% 0.94/1.05 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6258,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s29)) | (~m_main_v_state(s29, c_busy))))),
% 0.94/1.05 inference(monotonicity,[status(thm)],[6257])).
% 0.94/1.05 tff(6259,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 0.94/1.05 inference(transitivity,[status(thm)],[6258, 6256])).
% 0.94/1.05 tff(6260,plain,
% 0.94/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6261,plain,
% 0.94/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6260, 6259])).
% 0.94/1.05 tff(6262,plain,
% 0.94/1.05 (~m_main_v_state(s29, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6261, 93, 6255])).
% 0.94/1.05 tff(6263,plain,
% 0.94/1.05 (always3(s30)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[809, 6255])).
% 0.94/1.05 tff(6264,plain,
% 0.94/1.05 (~m_main_v_state(s30, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6208, 93, 6263])).
% 0.94/1.05 tff(6265,assumption,(until5(s29)), introduced(assumption)).
% 0.94/1.05 tff(6266,plain,
% 0.94/1.05 (xuntil6(s29) | node4(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2907, 1275, 6265])).
% 0.94/1.05 tff(6267,plain,
% 0.94/1.05 (node4(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6266, 6218])).
% 0.94/1.05 tff(6268,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6269,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6270,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 0.94/1.05 tff(6271,plain,
% 0.94/1.05 (m_main_v_request(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6270, 20, 6267])).
% 0.94/1.05 tff(6272,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6273,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6274,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6273, 6272])).
% 0.94/1.05 tff(6275,plain,
% 0.94/1.05 (node2(s29, s30)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6274, 7, 805])).
% 0.94/1.05 tff(6276,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6277,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6278,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 0.94/1.05 tff(6279,plain,
% 0.94/1.05 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6278, 52, 6275])).
% 0.94/1.05 tff(6280,plain,
% 0.94/1.05 (~m_main_v_state(s29, c_ready)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6279, 6271, 6264])).
% 0.94/1.05 tff(6281,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6282,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6283,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 0.94/1.05 tff(6284,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6283, 155, 6262, 6280])).
% 0.94/1.05 tff(6285,plain,(xuntil6(s29) | (~until5(s29)) | (~until5(s22))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6286,plain,
% 0.94/1.05 (~until5(s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6285, 6218, 3569])).
% 0.94/1.05 tff(6287,plain,
% 0.94/1.05 (~xuntil6(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2913, 6286])).
% 0.94/1.05 tff(6288,assumption,(until5(s28)), introduced(assumption)).
% 0.94/1.05 tff(6289,plain,
% 0.94/1.05 (xuntil6(s28) | node4(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2922, 1275, 6288])).
% 0.94/1.05 tff(6290,plain,
% 0.94/1.05 (node4(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6289, 6287])).
% 0.94/1.05 tff(6291,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6292,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6293,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6292, 6291])).
% 0.94/1.05 tff(6294,plain,
% 0.94/1.05 (m_main_v_request(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6293, 20, 6290])).
% 0.94/1.05 tff(6295,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6296,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6297,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6296, 6295])).
% 0.94/1.05 tff(6298,plain,
% 0.94/1.05 (node2(s28, s29)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6297, 7, 817])).
% 0.94/1.05 tff(6299,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6300,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6301,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 0.94/1.05 tff(6302,plain,
% 0.94/1.05 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6301, 52, 6298])).
% 0.94/1.05 tff(6303,plain,
% 0.94/1.05 (~m_main_v_state(s28, c_ready)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6302, 6294, 6262])).
% 0.94/1.05 tff(6304,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6305,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6306,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 0.94/1.05 tff(6307,plain,
% 0.94/1.05 (m_main_v_state(s28, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6306, 155, 6303])).
% 0.94/1.05 tff(6308,plain,
% 0.94/1.05 (always3(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1183, 67, 6290])).
% 0.94/1.05 tff(6309,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1796, 93, 6308, 6307])).
% 0.94/1.05 tff(6310,plain,(xuntil6(s29) | (~until5(s28)) | (~until5(s22))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6311,plain,
% 0.94/1.05 (~until5(s28)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6310, 6217, 3569])).
% 0.94/1.05 tff(6312,plain,
% 0.94/1.05 (~xuntil6(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2928, 6311])).
% 0.94/1.05 tff(6313,plain,
% 0.94/1.05 (xuntil6(s27) | (~until5(s27))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2937, 1275, 1818])).
% 0.94/1.05 tff(6314,plain,
% 0.94/1.05 (~until5(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6313, 6312])).
% 0.94/1.05 tff(6315,plain,
% 0.94/1.05 (~xuntil6(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2943, 6314])).
% 0.94/1.05 tff(6316,assumption,(node4(s26)), introduced(assumption)).
% 0.94/1.05 tff(6317,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6318,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6319,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6318, 6317])).
% 0.94/1.05 tff(6320,plain,
% 0.94/1.05 (m_main_v_request(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6319, 20, 6316])).
% 0.94/1.05 tff(6321,plain,
% 0.94/1.05 (always3(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1187, 67, 6316])).
% 0.94/1.05 tff(6322,plain,
% 0.94/1.05 (always3(s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[845, 6321])).
% 0.94/1.05 tff(6323,plain,
% 0.94/1.05 (~m_main_v_state(s27, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1812, 93, 6322])).
% 0.94/1.05 tff(6324,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6325,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6326,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 0.94/1.05 tff(6327,plain,
% 0.94/1.05 (node2(s26, s27)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6326, 7, 841])).
% 0.94/1.05 tff(6328,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6329,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6330,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 0.94/1.05 tff(6331,plain,
% 0.94/1.05 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6330, 52, 6327])).
% 0.94/1.05 tff(6332,plain,
% 0.94/1.05 (~m_main_v_state(s26, c_ready)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6331, 6323, 6320])).
% 0.94/1.05 tff(6333,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6334,plain,
% 0.94/1.05 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6335,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s26)) | (~m_main_v_state(s26, c_busy))))),
% 0.94/1.05 inference(monotonicity,[status(thm)],[6334])).
% 0.94/1.05 tff(6336,plain,
% 0.94/1.05 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 0.94/1.05 inference(transitivity,[status(thm)],[6335, 6333])).
% 0.94/1.05 tff(6337,plain,
% 0.94/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6338,plain,
% 0.94/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6337, 6336])).
% 0.94/1.05 tff(6339,plain,
% 0.94/1.05 (~m_main_v_state(s26, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6338, 93, 6321])).
% 0.94/1.05 tff(6340,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6341,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6342,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 0.94/1.05 tff(6343,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6342, 155, 6339, 6332])).
% 0.94/1.05 tff(6344,plain,(~node4(s26)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6345,plain,
% 0.94/1.05 (xuntil6(s26) | (~until5(s26))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2952, 1275, 6344])).
% 0.94/1.05 tff(6346,plain,
% 0.94/1.05 (~until5(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6345, 6315])).
% 0.94/1.05 tff(6347,plain,
% 0.94/1.05 (~xuntil6(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2958, 6346])).
% 0.94/1.05 tff(6348,assumption,(node4(s25)), introduced(assumption)).
% 0.94/1.05 tff(6349,plain,
% 0.94/1.05 (always3(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1191, 67, 6348])).
% 0.94/1.05 tff(6350,assumption,(~m_main_v_state(s26, c_busy)), introduced(assumption)).
% 0.94/1.05 tff(6351,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6352,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6353,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 0.94/1.05 tff(6354,plain,
% 0.94/1.05 (m_main_v_request(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6353, 20, 6348])).
% 0.94/1.05 tff(6355,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6356,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6357,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 0.94/1.05 tff(6358,plain,
% 0.94/1.05 (node2(s25, s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6357, 7, 853])).
% 0.94/1.05 tff(6359,plain,
% 0.94/1.05 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6360,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6361,plain,
% 0.94/1.05 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 0.94/1.05 tff(6362,plain,
% 0.94/1.05 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6361, 52, 6358])).
% 0.94/1.05 tff(6363,plain,
% 0.94/1.05 (~m_main_v_state(s25, c_ready)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6362, 6354, 6350])).
% 0.94/1.05 tff(6364,plain,
% 0.94/1.05 (~m_main_v_state(s25, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[509, 93, 6349])).
% 0.94/1.05 tff(6365,plain,
% 0.94/1.05 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready))),
% 0.94/1.05 inference(rewrite,[status(thm)],[])).
% 0.94/1.05 tff(6366,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready))),
% 0.94/1.05 inference(quant_inst,[status(thm)],[])).
% 0.94/1.05 tff(6367,plain,
% 0.94/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready)),
% 0.94/1.05 inference(modus_ponens,[status(thm)],[6366, 6365])).
% 0.94/1.05 tff(6368,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6367, 155, 6364, 6363])).
% 0.94/1.05 tff(6369,plain,((~node4(s25)) | m_main_v_state(s26, c_busy)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6370,plain,
% 0.94/1.05 (m_main_v_state(s26, c_busy)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6369, 6348])).
% 0.94/1.05 tff(6371,plain,
% 0.94/1.05 (~always3(s26)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6338, 93, 6370])).
% 0.94/1.05 tff(6372,plain,
% 0.94/1.05 ($false),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[857, 6371, 6349])).
% 0.94/1.05 tff(6373,plain,(~node4(s25)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.05 tff(6374,plain,
% 0.94/1.05 (xuntil6(s25) | (~until5(s25))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[2967, 1275, 6373])).
% 0.94/1.05 tff(6375,plain,
% 0.94/1.05 (~until5(s25)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6374, 6347])).
% 0.94/1.05 tff(6376,plain,
% 0.94/1.05 (~xuntil6(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3345, 6375])).
% 0.94/1.05 tff(6377,plain,
% 0.94/1.05 (~always3(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[870, 3959])).
% 0.94/1.05 tff(6378,plain,
% 0.94/1.05 (~always3(s22)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[882, 6377])).
% 0.94/1.05 tff(6379,plain,
% 0.94/1.05 (~always3(s21)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[367, 6378])).
% 0.94/1.05 tff(6380,plain,
% 0.94/1.05 (~node4(s21)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[355, 67, 6379])).
% 0.94/1.05 tff(6381,plain,
% 0.94/1.05 (~node4(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[490, 67, 3959])).
% 0.94/1.05 tff(6382,assumption,(~xuntil6(s24)), introduced(assumption)).
% 0.94/1.05 tff(6383,plain,
% 0.94/1.05 (node4(s24) | (~until5(s24))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3339, 1275, 6382])).
% 0.94/1.05 tff(6384,plain,
% 0.94/1.05 (~until5(s24)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6383, 6381])).
% 0.94/1.05 tff(6385,plain,
% 0.94/1.05 (~xuntil6(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3331, 6384])).
% 0.94/1.05 tff(6386,plain,
% 0.94/1.05 (xuntil6(s23) | (~until5(s23))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3325, 1275, 5551])).
% 0.94/1.05 tff(6387,plain,
% 0.94/1.05 (~until5(s23)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6386, 6385])).
% 0.94/1.05 tff(6388,plain,
% 0.94/1.05 (~xuntil6(s22)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3317, 6387])).
% 0.94/1.05 tff(6389,plain,
% 0.94/1.05 (xuntil6(s22) | (~until5(s22))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3311, 1275, 1910])).
% 0.94/1.05 tff(6390,plain,
% 0.94/1.05 (~until5(s22)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6389, 6388])).
% 0.94/1.05 tff(6391,plain,
% 0.94/1.05 (~xuntil6(s21)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3303, 6390])).
% 0.94/1.05 tff(6392,plain,
% 0.94/1.05 (~until5(s21)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3297, 1275, 6391, 6380])).
% 0.94/1.05 tff(6393,plain,
% 0.94/1.05 (~xuntil6(s20)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3289, 6392])).
% 0.94/1.05 tff(6394,plain,
% 0.94/1.05 (~always3(s20)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[551, 6379])).
% 0.94/1.05 tff(6395,plain,
% 0.94/1.05 (~node4(s20)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[539, 67, 6394])).
% 0.94/1.05 tff(6396,plain,
% 0.94/1.05 (xuntil6(s20) | (~until5(s20))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3283, 1275, 6395])).
% 0.94/1.05 tff(6397,plain,
% 0.94/1.05 (~until5(s20)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6396, 6393])).
% 0.94/1.05 tff(6398,plain,
% 0.94/1.05 (~xuntil6(s19)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3275, 6397])).
% 0.94/1.05 tff(6399,plain,
% 0.94/1.05 (~until5(s19)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[4808, 6398])).
% 0.94/1.05 tff(6400,plain,
% 0.94/1.05 (~xuntil6(s18)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3261, 6399])).
% 0.94/1.05 tff(6401,plain,
% 0.94/1.05 (~always3(s19)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[896, 6394])).
% 0.94/1.05 tff(6402,plain,
% 0.94/1.05 (~always3(s18)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[459, 6401])).
% 0.94/1.05 tff(6403,plain,
% 0.94/1.05 (~node4(s18)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[447, 67, 6402])).
% 0.94/1.05 tff(6404,plain,
% 0.94/1.05 (xuntil6(s18) | (~until5(s18))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3255, 1275, 6403])).
% 0.94/1.05 tff(6405,plain,
% 0.94/1.05 (~until5(s18)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6404, 6400])).
% 0.94/1.05 tff(6406,plain,
% 0.94/1.05 (~xuntil6(s17)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3247, 6405])).
% 0.94/1.05 tff(6407,plain,
% 0.94/1.05 (~always3(s17)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[345, 6402])).
% 0.94/1.05 tff(6408,plain,
% 0.94/1.05 (~node4(s17)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[299, 67, 6407])).
% 0.94/1.05 tff(6409,plain,
% 0.94/1.05 (xuntil6(s17) | (~until5(s17))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3241, 1275, 6408])).
% 0.94/1.05 tff(6410,plain,
% 0.94/1.05 (~until5(s17)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6409, 6406])).
% 0.94/1.05 tff(6411,plain,
% 0.94/1.05 (~xuntil6(s16)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3233, 6410])).
% 0.94/1.05 tff(6412,plain,
% 0.94/1.05 (~always3(s16)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[910, 6407])).
% 0.94/1.05 tff(6413,plain,
% 0.94/1.05 (~node4(s16)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1208, 67, 6412])).
% 0.94/1.05 tff(6414,plain,
% 0.94/1.05 (xuntil6(s16) | (~until5(s16))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3227, 1275, 6413])).
% 0.94/1.05 tff(6415,plain,
% 0.94/1.05 (~until5(s16)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6414, 6411])).
% 0.94/1.05 tff(6416,plain,
% 0.94/1.05 (~xuntil6(s15)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3219, 6415])).
% 0.94/1.05 tff(6417,plain,
% 0.94/1.05 (~always3(s15)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[922, 6412])).
% 0.94/1.05 tff(6418,plain,
% 0.94/1.05 (~node4(s15)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1212, 67, 6417])).
% 0.94/1.05 tff(6419,plain,
% 0.94/1.05 (xuntil6(s15) | (~until5(s15))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3213, 1275, 6418])).
% 0.94/1.05 tff(6420,plain,
% 0.94/1.05 (~until5(s15)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6419, 6416])).
% 0.94/1.05 tff(6421,plain,
% 0.94/1.05 (~xuntil6(s14)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3205, 6420])).
% 0.94/1.05 tff(6422,plain,
% 0.94/1.05 (~always3(s14)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[934, 6417])).
% 0.94/1.05 tff(6423,plain,
% 0.94/1.05 (~node4(s14)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1216, 67, 6422])).
% 0.94/1.05 tff(6424,plain,
% 0.94/1.05 (xuntil6(s14) | (~until5(s14))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3199, 1275, 6423])).
% 0.94/1.05 tff(6425,plain,
% 0.94/1.05 (~until5(s14)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6424, 6421])).
% 0.94/1.05 tff(6426,plain,
% 0.94/1.05 (~xuntil6(s13)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3191, 6425])).
% 0.94/1.05 tff(6427,plain,
% 0.94/1.05 (~always3(s13)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[946, 6422])).
% 0.94/1.05 tff(6428,plain,
% 0.94/1.05 (~node4(s13)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1220, 67, 6427])).
% 0.94/1.05 tff(6429,plain,
% 0.94/1.05 (xuntil6(s13) | (~until5(s13))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3185, 1275, 6428])).
% 0.94/1.05 tff(6430,plain,
% 0.94/1.05 (~until5(s13)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6429, 6426])).
% 0.94/1.05 tff(6431,plain,
% 0.94/1.05 (~xuntil6(s12)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3177, 6430])).
% 0.94/1.05 tff(6432,plain,
% 0.94/1.05 (~always3(s12)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[958, 6427])).
% 0.94/1.05 tff(6433,plain,
% 0.94/1.05 (~node4(s12)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1224, 67, 6432])).
% 0.94/1.05 tff(6434,plain,
% 0.94/1.05 (xuntil6(s12) | (~until5(s12))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3171, 1275, 6433])).
% 0.94/1.05 tff(6435,plain,
% 0.94/1.05 (~until5(s12)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6434, 6431])).
% 0.94/1.05 tff(6436,plain,
% 0.94/1.05 (~xuntil6(s11)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3163, 6435])).
% 0.94/1.05 tff(6437,plain,
% 0.94/1.05 (~always3(s11)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[416, 6432])).
% 0.94/1.05 tff(6438,plain,
% 0.94/1.05 (~always3(s10)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[121, 6437])).
% 0.94/1.05 tff(6439,plain,
% 0.94/1.05 (~always3(s9)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[180, 6438])).
% 0.94/1.05 tff(6440,plain,
% 0.94/1.05 (~always3(s8)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[973, 6439])).
% 0.94/1.05 tff(6441,plain,
% 0.94/1.05 (~always3(s7)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[985, 6440])).
% 0.94/1.05 tff(6442,plain,
% 0.94/1.05 (~always3(s6)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[997, 6441])).
% 0.94/1.05 tff(6443,plain,
% 0.94/1.05 (~always3(s5)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1009, 6442])).
% 0.94/1.05 tff(6444,plain,
% 0.94/1.05 (~always3(s4)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1021, 6443])).
% 0.94/1.05 tff(6445,plain,
% 0.94/1.05 (~always3(s3)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1033, 6444])).
% 0.94/1.05 tff(6446,plain,
% 0.94/1.05 (~always3(s2)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1045, 6445])).
% 0.94/1.05 tff(6447,plain,
% 0.94/1.05 (~always3(s1)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[223, 6446])).
% 0.94/1.05 tff(6448,plain,
% 0.94/1.05 (~node4(s1)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[211, 67, 6447])).
% 0.94/1.05 tff(6449,plain,
% 0.94/1.05 (~always3(s0)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[85, 6447])).
% 0.94/1.05 tff(6450,plain,
% 0.94/1.05 (~node4(s0)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[70, 67, 6449])).
% 0.94/1.05 tff(6451,plain,
% 0.94/1.05 (xuntil6(s0)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3006, 6450])).
% 0.94/1.05 tff(6452,plain,
% 0.94/1.05 (until5(s1)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3011, 6451])).
% 0.94/1.05 tff(6453,plain,
% 0.94/1.05 (xuntil6(s1)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3018, 1275, 6452, 6448])).
% 0.94/1.05 tff(6454,plain,
% 0.94/1.05 (until5(s2)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3023, 6453])).
% 0.94/1.05 tff(6455,plain,
% 0.94/1.05 (~node4(s2)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1255, 67, 6446])).
% 0.94/1.05 tff(6456,plain,
% 0.94/1.05 (xuntil6(s2) | (~until5(s2))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3031, 1275, 6455])).
% 0.94/1.05 tff(6457,plain,
% 0.94/1.05 (xuntil6(s2)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6456, 6454])).
% 0.94/1.05 tff(6458,plain,
% 0.94/1.05 (until5(s3)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3037, 6457])).
% 0.94/1.05 tff(6459,plain,
% 0.94/1.05 (~node4(s3)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1251, 67, 6445])).
% 0.94/1.05 tff(6460,plain,
% 0.94/1.05 (xuntil6(s3) | (~until5(s3))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3045, 1275, 6459])).
% 0.94/1.05 tff(6461,plain,
% 0.94/1.05 (xuntil6(s3)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6460, 6458])).
% 0.94/1.05 tff(6462,plain,
% 0.94/1.05 (until5(s4)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3051, 6461])).
% 0.94/1.05 tff(6463,plain,
% 0.94/1.05 (~node4(s4)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1247, 67, 6444])).
% 0.94/1.05 tff(6464,plain,
% 0.94/1.05 (xuntil6(s4) | (~until5(s4))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3059, 1275, 6463])).
% 0.94/1.05 tff(6465,plain,
% 0.94/1.05 (xuntil6(s4)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6464, 6462])).
% 0.94/1.05 tff(6466,plain,
% 0.94/1.05 (until5(s5)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3065, 6465])).
% 0.94/1.05 tff(6467,plain,
% 0.94/1.05 (~node4(s5)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1243, 67, 6443])).
% 0.94/1.05 tff(6468,plain,
% 0.94/1.05 (xuntil6(s5) | (~until5(s5))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3073, 1275, 6467])).
% 0.94/1.05 tff(6469,plain,
% 0.94/1.05 (xuntil6(s5)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6468, 6466])).
% 0.94/1.05 tff(6470,plain,
% 0.94/1.05 (until5(s6)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3079, 6469])).
% 0.94/1.05 tff(6471,plain,
% 0.94/1.05 (~node4(s6)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1239, 67, 6442])).
% 0.94/1.05 tff(6472,plain,
% 0.94/1.05 (xuntil6(s6) | (~until5(s6))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3087, 1275, 6471])).
% 0.94/1.05 tff(6473,plain,
% 0.94/1.05 (xuntil6(s6)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6472, 6470])).
% 0.94/1.05 tff(6474,plain,
% 0.94/1.05 (until5(s7)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3093, 6473])).
% 0.94/1.05 tff(6475,plain,
% 0.94/1.05 (~node4(s7)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1235, 67, 6441])).
% 0.94/1.05 tff(6476,plain,
% 0.94/1.05 (xuntil6(s7) | (~until5(s7))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3101, 1275, 6475])).
% 0.94/1.05 tff(6477,plain,
% 0.94/1.05 (xuntil6(s7)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6476, 6474])).
% 0.94/1.05 tff(6478,plain,
% 0.94/1.05 (until5(s8)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3107, 6477])).
% 0.94/1.05 tff(6479,plain,
% 0.94/1.05 (~node4(s8)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[1231, 67, 6440])).
% 0.94/1.05 tff(6480,plain,
% 0.94/1.05 (xuntil6(s8) | (~until5(s8))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3115, 1275, 6479])).
% 0.94/1.05 tff(6481,plain,
% 0.94/1.05 (xuntil6(s8)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6480, 6478])).
% 0.94/1.05 tff(6482,plain,
% 0.94/1.05 (until5(s9)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3121, 6481])).
% 0.94/1.05 tff(6483,plain,
% 0.94/1.05 (~node4(s9)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[168, 67, 6439])).
% 0.94/1.05 tff(6484,plain,
% 0.94/1.05 (xuntil6(s9) | (~until5(s9))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3129, 1275, 6483])).
% 0.94/1.05 tff(6485,plain,
% 0.94/1.05 (xuntil6(s9)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6484, 6482])).
% 0.94/1.05 tff(6486,plain,
% 0.94/1.05 (until5(s10)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3135, 6485])).
% 0.94/1.05 tff(6487,plain,
% 0.94/1.05 (~node4(s10)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[109, 67, 6438])).
% 0.94/1.05 tff(6488,plain,
% 0.94/1.05 (xuntil6(s10) | (~until5(s10))),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[3143, 1275, 6487])).
% 0.94/1.05 tff(6489,plain,
% 0.94/1.05 (xuntil6(s10)),
% 0.94/1.05 inference(unit_resolution,[status(thm)],[6488, 6486])).
% 0.94/1.05 tff(6490,plain,
% 0.94/1.06 (until5(s11)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3149, 6489])).
% 0.94/1.06 tff(6491,plain,
% 0.94/1.06 (~node4(s11)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[404, 67, 6437])).
% 0.94/1.06 tff(6492,plain,
% 0.94/1.06 (xuntil6(s11) | (~until5(s11))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3157, 1275, 6491])).
% 0.94/1.06 tff(6493,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6492, 6490, 6436])).
% 0.94/1.06 tff(6494,plain,(always3(s24) | xuntil6(s24)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6495,plain,
% 0.94/1.06 (always3(s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6494, 6376])).
% 0.94/1.06 tff(6496,plain,
% 0.94/1.06 (always3(s25)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[502, 6495])).
% 0.94/1.06 tff(6497,plain,
% 0.94/1.06 (~m_main_v_state(s25, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[509, 93, 6496])).
% 0.94/1.06 tff(6498,plain,
% 0.94/1.06 (xuntil6(s22)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6389, 3569])).
% 0.94/1.06 tff(6499,plain,
% 0.94/1.06 (until5(s23)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3317, 6498])).
% 0.94/1.06 tff(6500,plain,
% 0.94/1.06 (xuntil6(s23)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6386, 6499])).
% 0.94/1.06 tff(6501,plain,
% 0.94/1.06 (until5(s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3331, 6500])).
% 0.94/1.06 tff(6502,plain,
% 0.94/1.06 (xuntil6(s24) | node4(s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3339, 1275, 6501])).
% 0.94/1.06 tff(6503,plain,
% 0.94/1.06 (node4(s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6502, 6376])).
% 0.94/1.06 tff(6504,plain,
% 0.94/1.06 (m_main_v_request(s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[486, 20, 6503])).
% 0.94/1.06 tff(6505,plain,
% 0.94/1.06 (~m_main_v_state(s24, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[518, 6504, 6497])).
% 0.94/1.06 tff(6506,plain,
% 0.94/1.06 (~m_main_v_state(s24, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[525, 93, 6495])).
% 0.94/1.06 tff(6507,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[529, 155, 6506, 6505])).
% 0.94/1.06 tff(6508,plain,((~until5(s22)) | node4(s36) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6509,plain,
% 0.94/1.06 (xuntil6(s37)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6508, 577, 6020])).
% 0.94/1.06 tff(6510,plain,
% 0.94/1.06 (until5(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[2778, 6509])).
% 0.94/1.06 tff(6511,assumption,(node4(s38)), introduced(assumption)).
% 0.94/1.06 tff(6512,plain,
% 0.94/1.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38)))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6513,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6514,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 0.94/1.06 tff(6515,plain,
% 0.94/1.06 (m_main_v_request(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6514, 20, 6511])).
% 0.94/1.06 tff(6516,plain,
% 0.94/1.06 (always3(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1111, 67, 6511])).
% 0.94/1.06 tff(6517,plain,
% 0.94/1.06 (always3(s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[712, 6516])).
% 0.94/1.06 tff(6518,plain,
% 0.94/1.06 (~m_main_v_state(s39, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4940, 93, 6517])).
% 0.94/1.06 tff(6519,plain,
% 0.94/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6520,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6521,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 0.94/1.06 tff(6522,plain,
% 0.94/1.06 (node2(s38, s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6521, 7, 708])).
% 0.94/1.06 tff(6523,plain,
% 0.94/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6524,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6525,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 0.94/1.06 tff(6526,plain,
% 0.94/1.06 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6525, 52, 6522])).
% 0.94/1.06 tff(6527,plain,
% 0.94/1.06 (~m_main_v_state(s38, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6526, 6518, 6515])).
% 0.94/1.06 tff(6528,plain,
% 0.94/1.06 (~m_main_v_state(s38, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6028, 93, 6516])).
% 0.94/1.06 tff(6529,plain,
% 0.94/1.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6530,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6531,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready)),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6530, 6529])).
% 0.94/1.06 tff(6532,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6531, 155, 6528, 6527])).
% 0.94/1.06 tff(6533,plain,(~node4(s38)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6534,plain,
% 0.94/1.06 (xuntil6(s38) | (~until5(s38))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[2772, 1275, 6533])).
% 0.94/1.06 tff(6535,plain,
% 0.94/1.06 (xuntil6(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6534, 6510])).
% 0.94/1.06 tff(6536,plain,
% 0.94/1.06 (until5(s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[2763, 6535])).
% 0.94/1.06 tff(6537,plain,
% 0.94/1.06 (xuntil6(s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4947, 6536])).
% 0.94/1.06 tff(6538,plain,
% 0.94/1.06 (until5(s40)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1297, 6537])).
% 0.94/1.06 tff(6539,plain,
% 0.94/1.06 (xuntil6(s40)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4979, 6538])).
% 0.94/1.06 tff(6540,plain,
% 0.94/1.06 (until5(s41)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1309, 6539])).
% 0.94/1.06 tff(6541,plain,
% 0.94/1.06 (xuntil6(s41)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5011, 6540])).
% 0.94/1.06 tff(6542,plain,
% 0.94/1.06 (until5(s42)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1326, 6541])).
% 0.94/1.06 tff(6543,assumption,(node4(s42)), introduced(assumption)).
% 0.94/1.06 tff(6544,plain,
% 0.94/1.06 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42)))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6545,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6546,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42))),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 0.94/1.06 tff(6547,plain,
% 0.94/1.06 (m_main_v_request(s42)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6546, 20, 6543])).
% 0.94/1.06 tff(6548,plain,
% 0.94/1.06 (always3(s42)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1330, 67, 6543])).
% 0.94/1.06 tff(6549,plain,
% 0.94/1.06 (always3(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[664, 6548])).
% 0.94/1.06 tff(6550,plain,
% 0.94/1.06 (~m_main_v_state(s43, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[628, 93, 6549])).
% 0.94/1.06 tff(6551,plain,
% 0.94/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6552,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6553,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43)),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 0.94/1.06 tff(6554,plain,
% 0.94/1.06 (node2(s42, s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6553, 7, 660])).
% 0.94/1.06 tff(6555,plain,
% 0.94/1.06 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6556,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6557,plain,
% 0.94/1.06 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6556, 6555])).
% 0.94/1.06 tff(6558,plain,
% 0.94/1.06 ((~m_main_v_state(s42, c_ready)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6557, 52, 6554])).
% 0.94/1.06 tff(6559,plain,
% 0.94/1.06 (~m_main_v_state(s42, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6558, 6550, 6547])).
% 0.94/1.06 tff(6560,plain,
% 0.94/1.06 (~m_main_v_state(s42, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4994, 93, 6548])).
% 0.94/1.06 tff(6561,plain,
% 0.94/1.06 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready))),
% 0.94/1.06 inference(rewrite,[status(thm)],[])).
% 0.94/1.06 tff(6562,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready))),
% 0.94/1.06 inference(quant_inst,[status(thm)],[])).
% 0.94/1.06 tff(6563,plain,
% 0.94/1.06 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready)),
% 0.94/1.06 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 0.94/1.06 tff(6564,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6563, 155, 6560, 6559])).
% 0.94/1.06 tff(6565,plain,(~node4(s42)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6566,plain,
% 0.94/1.06 (xuntil6(s42) | (~until5(s42))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1337, 1275, 6565])).
% 0.94/1.06 tff(6567,plain,
% 0.94/1.06 (xuntil6(s42)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6566, 6542])).
% 0.94/1.06 tff(6568,plain,
% 0.94/1.06 (until5(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1343, 6567])).
% 0.94/1.06 tff(6569,plain,
% 0.94/1.06 (xuntil6(s43) | node4(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1351, 1275, 6568])).
% 0.94/1.06 tff(6570,plain,
% 0.94/1.06 (xuntil6(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6569, 1578])).
% 0.94/1.06 tff(6571,plain,
% 0.94/1.06 (until5(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1357, 6570])).
% 0.94/1.06 tff(6572,assumption,(always3(s28)), introduced(assumption)).
% 0.94/1.06 tff(6573,plain,
% 0.94/1.06 (always3(s29)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[821, 6572])).
% 0.94/1.06 tff(6574,plain,
% 0.94/1.06 (always3(s30)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[809, 6573])).
% 0.94/1.06 tff(6575,plain,
% 0.94/1.06 (always3(s31)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[797, 6574])).
% 0.94/1.06 tff(6576,plain,
% 0.94/1.06 (always3(s32)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[785, 6575])).
% 0.94/1.06 tff(6577,plain,
% 0.94/1.06 (always3(s33)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[773, 6576])).
% 0.94/1.06 tff(6578,plain,
% 0.94/1.06 (always3(s34)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[761, 6577])).
% 0.94/1.06 tff(6579,plain,
% 0.94/1.06 (always3(s35)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[749, 6578])).
% 0.94/1.06 tff(6580,plain,
% 0.94/1.06 (always3(s36)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[737, 6579])).
% 0.94/1.06 tff(6581,plain,
% 0.94/1.06 (always3(s37)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[266, 6580])).
% 0.94/1.06 tff(6582,plain,
% 0.94/1.06 (always3(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[724, 6581])).
% 0.94/1.06 tff(6583,plain,
% 0.94/1.06 (~m_main_v_state(s38, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6028, 93, 6582])).
% 0.94/1.06 tff(6584,plain,
% 0.94/1.06 (~m_main_v_state(s37, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[273, 93, 6581])).
% 0.94/1.06 tff(6585,plain,
% 0.94/1.06 (m_main_v_state(s37, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6049, 155, 6584])).
% 0.94/1.06 tff(6586,plain,
% 0.94/1.06 (~m_main_v_request(s37)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6044, 6585, 6583])).
% 0.94/1.06 tff(6587,plain,
% 0.94/1.06 (~node4(s37)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6035, 20, 6586])).
% 0.94/1.06 tff(6588,plain,
% 0.94/1.06 (~m_main_v_state(s29, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6261, 93, 6573])).
% 0.94/1.06 tff(6589,plain,
% 0.94/1.06 (~m_main_v_state(s28, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1796, 93, 6572])).
% 0.94/1.06 tff(6590,plain,
% 0.94/1.06 (m_main_v_state(s28, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6306, 155, 6589])).
% 0.94/1.06 tff(6591,plain,
% 0.94/1.06 (~m_main_v_request(s28)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6302, 6590, 6588])).
% 0.94/1.06 tff(6592,plain,
% 0.94/1.06 (~node4(s28)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6293, 20, 6591])).
% 0.94/1.06 tff(6593,plain,
% 0.94/1.06 (~m_main_v_state(s32, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6134, 93, 6576])).
% 0.94/1.06 tff(6594,plain,
% 0.94/1.06 (~m_main_v_state(s31, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6177, 93, 6575])).
% 0.94/1.06 tff(6595,plain,
% 0.94/1.06 (m_main_v_state(s31, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6181, 155, 6594])).
% 0.94/1.06 tff(6596,plain,
% 0.94/1.06 (~m_main_v_request(s31)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6169, 6595, 6593])).
% 0.94/1.06 tff(6597,plain,
% 0.94/1.06 (~node4(s31)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6160, 20, 6596])).
% 0.94/1.06 tff(6598,plain,
% 0.94/1.06 (~m_main_v_state(s30, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6208, 93, 6574])).
% 0.94/1.06 tff(6599,plain,
% 0.94/1.06 (m_main_v_state(s29, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6283, 155, 6588])).
% 0.94/1.06 tff(6600,plain,
% 0.94/1.06 (~m_main_v_request(s29)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6279, 6599, 6598])).
% 0.94/1.06 tff(6601,plain,
% 0.94/1.06 (~node4(s29)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6270, 20, 6600])).
% 0.94/1.06 tff(6602,plain,
% 0.94/1.06 (~m_main_v_state(s33, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6107, 93, 6577])).
% 0.94/1.06 tff(6603,plain,
% 0.94/1.06 (m_main_v_state(s32, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6140, 155, 6593])).
% 0.94/1.06 tff(6604,plain,
% 0.94/1.06 (~m_main_v_request(s32)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6149, 6603, 6602])).
% 0.94/1.06 tff(6605,plain,
% 0.94/1.06 (~node4(s32)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6153, 20, 6604])).
% 0.94/1.06 tff(6606,assumption,(until5(s44)), introduced(assumption)).
% 0.94/1.06 tff(6607,plain,
% 0.94/1.06 (xuntil6(s44) | node4(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1368, 1275, 6606])).
% 0.94/1.06 tff(6608,plain,
% 0.94/1.06 (xuntil6(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6607, 1567])).
% 0.94/1.06 tff(6609,plain,
% 0.94/1.06 (until5(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1374, 6608])).
% 0.94/1.06 tff(6610,plain,
% 0.94/1.06 (xuntil6(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5059, 6609])).
% 0.94/1.06 tff(6611,plain,
% 0.94/1.06 (until5(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1391, 6610])).
% 0.94/1.06 tff(6612,plain,
% 0.94/1.06 (always3(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1099, 5635])).
% 0.94/1.06 tff(6613,plain,
% 0.94/1.06 (~m_main_v_state(s46, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5036, 93, 6612])).
% 0.94/1.06 tff(6614,plain,
% 0.94/1.06 (m_main_v_state(s46, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5592, 155, 6613])).
% 0.94/1.06 tff(6615,plain,
% 0.94/1.06 (~m_main_v_request(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5602, 6614])).
% 0.94/1.06 tff(6616,plain,
% 0.94/1.06 (~node4(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5606, 20, 6615])).
% 0.94/1.06 tff(6617,plain,
% 0.94/1.06 (xuntil6(s46) | (~until5(s46))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1402, 1275, 6616])).
% 0.94/1.06 tff(6618,plain,
% 0.94/1.06 (xuntil6(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6617, 6611])).
% 0.94/1.06 tff(6619,plain,
% 0.94/1.06 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s26) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s43) | node4(s44) | node4(s46) | (~until5(s49))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5581, 5010, 6565, 5058])).
% 0.94/1.06 tff(6620,plain,
% 0.94/1.06 (~until5(s49)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6619, 1567, 1469, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 6616, 582, 579, 1454, 1452, 1451, 1450, 1449, 1448, 1447, 1446, 577, 1445, 1444, 1578, 584, 1453, 583, 575])).
% 0.94/1.06 tff(6621,plain,
% 0.94/1.06 (~xuntil6(s48)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1442, 6620])).
% 0.94/1.06 tff(6622,plain,
% 0.94/1.06 (~until5(s48)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5584, 6621])).
% 0.94/1.06 tff(6623,plain,
% 0.94/1.06 (~xuntil6(s47)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1425, 6622])).
% 0.94/1.06 tff(6624,plain,
% 0.94/1.06 (~until5(s47)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5123, 6623])).
% 0.94/1.06 tff(6625,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1408, 6624, 6618])).
% 0.94/1.06 tff(6626,plain,(node4(s44) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s43) | node4(s49) | node4(s26) | node4(s1) | node4(s0) | (~until5(s44))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6627,plain,
% 0.94/1.06 (node4(s44) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s28) | node4(s29) | node4(s31) | node4(s32) | node4(s33) | node4(s36) | node4(s37) | node4(s43) | node4(s49) | node4(s1) | node4(s0) | (~until5(s44))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6626, 6344, 6078, 6214, 6533])).
% 0.94/1.06 tff(6628,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6627, 6605, 6601, 6373, 1467, 1468, 1464, 576, 580, 581, 1461, 1460, 1463, 1465, 585, 1466, 578, 1458, 1459, 1456, 579, 582, 1567, 584, 6597, 6113, 6592, 6587, 1578, 1469, 577, 583, 575, 6571])).
% 0.94/1.06 tff(6629,plain,((~always3(s28)) | node4(s4) | node4(s3) | node4(s7) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s8) | node4(s6) | node4(s17) | node4(s5) | node4(s18) | node4(s16) | node4(s15) | node4(s20) | node4(s24) | node4(s21) | node4(s44) | node4(s49) | node4(s43) | node4(s2) | node4(s36) | node4(s1) | node4(s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6630,plain,
% 0.94/1.06 ((~always3(s28)) | node4(s4) | node4(s3) | node4(s7) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s8) | node4(s6) | node4(s17) | node4(s5) | node4(s18) | node4(s16) | node4(s20) | node4(s24) | node4(s21) | node4(s44) | node4(s49) | node4(s43) | node4(s2) | node4(s36) | node4(s1) | node4(s0)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6629, 5960])).
% 0.94/1.06 tff(6631,plain,
% 0.94/1.06 ((~always3(s28)) | node4(s4) | node4(s3) | node4(s7) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s17) | node4(s18) | node4(s20) | node4(s24) | node4(s21) | node4(s44) | node4(s49) | node4(s43) | node4(s36) | node4(s1) | node4(s0)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6630, 5937, 5908, 5885, 5862, 5833])).
% 0.94/1.06 tff(6632,plain,
% 0.94/1.06 ((~always3(s28)) | node4(s9) | node4(s10) | node4(s11) | node4(s17) | node4(s18) | node4(s20) | node4(s24) | node4(s21) | node4(s44) | node4(s49) | node4(s43) | node4(s36) | node4(s1) | node4(s0)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6631, 5810, 5775, 5746, 5723, 5688])).
% 0.94/1.06 tff(6633,plain,
% 0.94/1.06 (~always3(s28)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6632, 1456, 5653, 634, 585, 584, 583, 582, 581, 580, 579, 578, 577, 576, 575])).
% 0.94/1.06 tff(6634,plain,
% 0.94/1.06 (~always3(s27)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[833, 6633])).
% 0.94/1.06 tff(6635,plain,
% 0.94/1.06 (~always3(s26)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[845, 6634])).
% 0.94/1.06 tff(6636,plain,
% 0.94/1.06 (~always3(s25)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[857, 6635])).
% 0.94/1.06 tff(6637,plain,
% 0.94/1.06 (~always3(s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[502, 6636])).
% 0.94/1.06 tff(6638,plain,
% 0.94/1.06 (~always3(s23)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[870, 6637])).
% 0.94/1.06 tff(6639,plain,
% 0.94/1.06 (~always3(s22)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[882, 6638])).
% 0.94/1.06 tff(6640,plain,
% 0.94/1.06 (~always3(s21)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[367, 6639])).
% 0.94/1.06 tff(6641,plain,
% 0.94/1.06 (~always3(s20)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[551, 6640])).
% 0.94/1.06 tff(6642,plain,
% 0.94/1.06 (~always3(s19)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[896, 6641])).
% 0.94/1.06 tff(6643,plain,
% 0.94/1.06 (~always3(s18)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[459, 6642])).
% 0.94/1.06 tff(6644,plain,
% 0.94/1.06 (~always3(s17)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[345, 6643])).
% 0.94/1.06 tff(6645,plain,
% 0.94/1.06 (~always3(s16)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[910, 6644])).
% 0.94/1.06 tff(6646,plain,
% 0.94/1.06 (~always3(s15)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[922, 6645])).
% 0.94/1.06 tff(6647,plain,
% 0.94/1.06 (~always3(s14)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[934, 6646])).
% 0.94/1.06 tff(6648,plain,
% 0.94/1.06 (~always3(s13)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[946, 6647])).
% 0.94/1.06 tff(6649,plain,
% 0.94/1.06 (~always3(s12)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[958, 6648])).
% 0.94/1.06 tff(6650,plain,
% 0.94/1.06 (~always3(s11)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[416, 6649])).
% 0.94/1.06 tff(6651,plain,
% 0.94/1.06 (~always3(s10)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[121, 6650])).
% 0.94/1.06 tff(6652,plain,
% 0.94/1.06 (~always3(s9)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[180, 6651])).
% 0.94/1.06 tff(6653,plain,
% 0.94/1.06 (~always3(s8)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[973, 6652])).
% 0.94/1.06 tff(6654,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[985, 6653])).
% 0.94/1.06 tff(6655,plain,
% 0.94/1.06 (~always3(s6)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[997, 6654])).
% 0.94/1.06 tff(6656,plain,
% 0.94/1.06 (~always3(s5)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1009, 6655])).
% 0.94/1.06 tff(6657,plain,
% 0.94/1.06 (~always3(s4)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1021, 6656])).
% 0.94/1.06 tff(6658,plain,
% 0.94/1.06 (~always3(s3)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1033, 6657])).
% 0.94/1.06 tff(6659,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1045, 6658])).
% 0.94/1.06 tff(6660,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[3802, 6659])).
% 0.94/1.06 tff(6661,plain,
% 0.94/1.06 (xuntil2p8(s48) | (~until2p7(s48))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1526, 1502, 5306])).
% 0.94/1.06 tff(6662,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[6661, 1522])).
% 0.94/1.06 tff(6663,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1532, 6662])).
% 0.94/1.06 tff(6664,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1537, 1502, 5122])).
% 0.94/1.06 tff(6665,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[6664, 6663])).
% 0.94/1.06 tff(6666,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1543, 6665])).
% 0.94/1.06 tff(6667,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1548, 1502, 6616])).
% 0.94/1.06 tff(6668,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[6667, 6666])).
% 0.94/1.06 tff(6669,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1554, 6668])).
% 0.94/1.06 tff(6670,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1559, 1502, 5058])).
% 0.94/1.06 tff(6671,plain,
% 0.94/1.06 (~until2p7(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6670, 6669])).
% 0.94/1.06 tff(6672,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[605, 4594])).
% 0.94/1.06 tff(6673,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[664, 6672])).
% 0.94/1.06 tff(6674,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[676, 6673])).
% 0.94/1.06 tff(6675,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[688, 6674])).
% 0.94/1.06 tff(6676,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[700, 6675])).
% 0.94/1.06 tff(6677,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[712, 6676])).
% 0.94/1.06 tff(6678,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[724, 6677])).
% 0.94/1.06 tff(6679,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[266, 6678])).
% 0.94/1.06 tff(6680,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[737, 6679])).
% 0.94/1.06 tff(6681,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[749, 6680])).
% 0.94/1.06 tff(6682,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[761, 6681])).
% 0.94/1.06 tff(6683,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[773, 6682])).
% 0.94/1.06 tff(6684,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[785, 6683])).
% 0.94/1.06 tff(6685,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[797, 6684])).
% 0.94/1.06 tff(6686,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[809, 6685])).
% 0.94/1.06 tff(6687,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[821, 6686])).
% 0.94/1.06 tff(6688,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[833, 6687])).
% 0.94/1.06 tff(6689,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[845, 6688])).
% 0.94/1.06 tff(6690,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[857, 6689])).
% 0.94/1.06 tff(6691,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[502, 6690])).
% 0.94/1.06 tff(6692,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[870, 6691])).
% 0.94/1.06 tff(6693,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[882, 6692])).
% 0.94/1.06 tff(6694,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[367, 6693])).
% 0.94/1.06 tff(6695,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[551, 6694])).
% 0.94/1.06 tff(6696,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[896, 6695])).
% 0.94/1.06 tff(6697,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[459, 6696])).
% 0.94/1.06 tff(6698,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[345, 6697])).
% 0.94/1.06 tff(6699,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[910, 6698])).
% 0.94/1.06 tff(6700,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[922, 6699])).
% 0.94/1.06 tff(6701,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[934, 6700])).
% 0.94/1.06 tff(6702,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[946, 6701])).
% 0.94/1.06 tff(6703,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[958, 6702])).
% 0.94/1.06 tff(6704,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[416, 6703])).
% 0.94/1.06 tff(6705,plain,
% 0.94/1.06 (~always3(s10)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[121, 6704])).
% 0.94/1.06 tff(6706,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[180, 6705])).
% 0.94/1.06 tff(6707,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[973, 6706])).
% 0.94/1.06 tff(6708,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[985, 6707])).
% 0.94/1.06 tff(6709,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[997, 6708])).
% 0.94/1.06 tff(6710,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1009, 6709])).
% 0.94/1.06 tff(6711,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1021, 6710])).
% 0.94/1.06 tff(6712,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1033, 6711])).
% 0.94/1.06 tff(6713,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[1045, 6712])).
% 0.94/1.06 tff(6714,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[223, 6713])).
% 0.94/1.06 tff(6715,plain,
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% 0.94/1.06 tff(6716,plain,
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% 0.94/1.06 tff(6717,plain,
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% 0.94/1.06 tff(6718,plain,
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% 0.94/1.06 tff(6719,plain,
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% 0.94/1.06 tff(6720,plain,
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% 0.94/1.06 inference(unit_resolution,[status(thm)],[3717, 6703])).
% 0.94/1.06 tff(6721,plain,
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% 0.94/1.06 tff(6722,plain,
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% 0.94/1.06 tff(6723,plain,
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% 0.94/1.06 tff(6725,plain,
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% 0.94/1.06 tff(6726,plain,
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% 0.94/1.06 tff(6727,plain,
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% 0.94/1.06 tff(6728,plain,
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% 0.94/1.06 tff(6729,plain,
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% 0.94/1.06 tff(6730,plain,
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% 0.94/1.06 tff(6731,plain,
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% 0.94/1.06 tff(6732,plain,
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% 0.94/1.06 tff(6733,plain,
% 0.94/1.06 (~trans(s49, s6)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3780, 6709])).
% 0.94/1.06 tff(6734,plain,
% 0.94/1.06 (~trans(s49, s24)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3968, 6691])).
% 0.94/1.06 tff(6735,plain,
% 0.94/1.06 (~trans(s49, s20)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3979, 6695])).
% 0.94/1.06 tff(6736,plain,
% 0.94/1.06 (~trans(s49, s9)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3791, 6706])).
% 0.94/1.06 tff(6737,plain,
% 0.94/1.06 (~trans(s49, s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4134, 6677])).
% 0.94/1.06 tff(6738,plain,
% 0.94/1.06 (~trans(s49, s21)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4145, 6694])).
% 0.94/1.06 tff(6739,plain,
% 0.94/1.06 (~trans(s49, s34)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4347, 6681])).
% 0.94/1.06 tff(6740,plain,
% 0.94/1.06 (~trans(s49, s5)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3825, 6710])).
% 0.94/1.06 tff(6741,plain,
% 0.94/1.06 (~trans(s49, s15)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3863, 6700])).
% 0.94/1.06 tff(6742,plain,
% 0.94/1.06 (~trans(s49, s4)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3814, 6711])).
% 0.94/1.06 tff(6743,plain,
% 0.94/1.06 (~trans(s49, s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4314, 6676])).
% 0.94/1.06 tff(6744,plain,
% 0.94/1.06 (~trans(s49, s35)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4559, 6680])).
% 0.94/1.06 tff(6745,plain,
% 0.94/1.06 (~trans(s49, s22)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4336, 6693])).
% 0.94/1.06 tff(6746,plain,
% 0.94/1.06 (~trans(s49, s40)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4514, 6675])).
% 0.94/1.06 tff(6747,plain,
% 0.94/1.06 (~trans(s49, s27)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4358, 6688])).
% 0.94/1.06 tff(6748,plain,
% 0.94/1.06 (~trans(s49, s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4592, 6672])).
% 0.94/1.06 tff(6749,plain,
% 0.94/1.06 (~trans(s49, s28)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4525, 6687])).
% 0.94/1.06 tff(6750,plain,
% 0.94/1.06 (~trans(s49, s37)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4548, 6678])).
% 0.94/1.06 tff(6751,plain,
% 0.94/1.06 (~trans(s49, s10)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3687, 6705])).
% 0.94/1.06 tff(6752,plain,
% 0.94/1.06 (~trans(s49, s13)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3836, 6702])).
% 0.94/1.06 tff(6753,plain,
% 0.94/1.06 (~trans(s49, s19)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4581, 6696])).
% 0.94/1.06 tff(6754,plain,
% 0.94/1.06 (~trans(s49, s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4603, 4594])).
% 0.94/1.06 tff(6755,plain,
% 0.94/1.06 (~trans(s49, s18)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4570, 6697])).
% 0.94/1.06 tff(6756,plain,
% 0.94/1.06 (~trans(s49, s26)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4772, 6689])).
% 0.94/1.06 tff(6757,plain,
% 0.94/1.06 (~trans(s49, s29)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3911, 6686])).
% 0.94/1.06 tff(6758,plain,
% 0.94/1.06 (~trans(s49, s30)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4156, 6685])).
% 0.94/1.06 tff(6759,plain,
% 0.94/1.06 (~trans(s49, s41)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4760, 6674])).
% 0.94/1.06 tff(6760,plain,
% 0.94/1.06 (~trans(s49, s31)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4325, 6684])).
% 0.94/1.06 tff(6761,plain,
% 0.94/1.06 (xuntil6(s21)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4904, 6694])).
% 0.94/1.06 tff(6762,plain,
% 0.94/1.06 (until5(s22)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3303, 6761])).
% 0.94/1.06 tff(6763,plain,
% 0.94/1.06 (xuntil6(s37)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[3599, 6762, 6678])).
% 0.94/1.06 tff(6764,plain,
% 0.94/1.06 (until5(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[2778, 6763])).
% 0.94/1.06 tff(6765,plain,
% 0.94/1.06 (xuntil6(s38)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6534, 6764])).
% 0.94/1.06 tff(6766,plain,
% 0.94/1.06 (until5(s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[2763, 6765])).
% 0.94/1.06 tff(6767,plain,
% 0.94/1.06 (xuntil6(s39)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4947, 6766])).
% 0.94/1.06 tff(6768,plain,
% 0.94/1.06 (until5(s40)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1297, 6767])).
% 0.94/1.06 tff(6769,plain,
% 0.94/1.06 (xuntil6(s40)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[4979, 6768])).
% 0.94/1.06 tff(6770,plain,
% 0.94/1.06 (until5(s41)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1309, 6769])).
% 0.94/1.06 tff(6771,plain,
% 0.94/1.06 (xuntil6(s41)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5011, 6770])).
% 0.94/1.06 tff(6772,plain,
% 0.94/1.06 (until5(s42)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1326, 6771])).
% 0.94/1.06 tff(6773,plain,
% 0.94/1.06 (xuntil6(s42)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6566, 6772])).
% 0.94/1.06 tff(6774,plain,
% 0.94/1.06 (until5(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1343, 6773])).
% 0.94/1.06 tff(6775,plain,
% 0.94/1.06 (xuntil6(s43) | (~until5(s43))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1351, 1275, 634])).
% 0.94/1.06 tff(6776,plain,
% 0.94/1.06 (xuntil6(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6775, 6774])).
% 0.94/1.06 tff(6777,plain,
% 0.94/1.06 (until5(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1357, 6776])).
% 0.94/1.06 tff(6778,assumption,(~xuntil6(s46)), introduced(assumption)).
% 0.94/1.06 tff(6779,plain,
% 0.94/1.06 (~until5(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6617, 6778])).
% 0.94/1.06 tff(6780,plain,
% 0.94/1.06 (~xuntil6(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1391, 6779])).
% 0.94/1.06 tff(6781,plain,
% 0.94/1.06 (~until5(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5059, 6780])).
% 0.94/1.06 tff(6782,plain,
% 0.94/1.06 (~xuntil6(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1374, 6781])).
% 0.94/1.06 tff(6783,plain,
% 0.94/1.06 (node4(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6607, 6782])).
% 0.94/1.06 tff(6784,assumption,(until5(s43)), introduced(assumption)).
% 0.94/1.06 tff(6785,assumption,(always3(s44)), introduced(assumption)).
% 0.94/1.06 tff(6786,plain,
% 0.94/1.06 (~m_main_v_state(s44, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[612, 93, 6785])).
% 0.94/1.06 tff(6787,plain,
% 0.94/1.06 (always3(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[651, 6785])).
% 0.94/1.06 tff(6788,plain,
% 0.94/1.06 (always3(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1099, 6787])).
% 0.94/1.06 tff(6789,plain,
% 0.94/1.06 (~m_main_v_state(s46, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5036, 93, 6788])).
% 0.94/1.06 tff(6790,plain,
% 0.94/1.06 (~m_main_v_state(s45, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5052, 93, 6787])).
% 0.94/1.06 tff(6791,plain,
% 0.94/1.06 (m_main_v_state(s45, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5056, 155, 6790])).
% 0.94/1.06 tff(6792,plain,
% 0.94/1.06 (~m_main_v_request(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5045, 6791, 6789])).
% 0.94/1.06 tff(6793,plain,
% 0.94/1.06 (~node4(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5027, 20, 6792])).
% 0.94/1.06 tff(6794,plain,
% 0.94/1.06 (m_main_v_state(s46, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5592, 155, 6789])).
% 0.94/1.06 tff(6795,plain,
% 0.94/1.06 (~m_main_v_request(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5602, 6794])).
% 0.94/1.06 tff(6796,plain,
% 0.94/1.06 (~node4(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5606, 20, 6795])).
% 0.94/1.06 tff(6797,plain,
% 0.94/1.06 (node4(s46) | (~until5(s46))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1402, 1275, 6778])).
% 0.94/1.06 tff(6798,plain,
% 0.94/1.06 (~until5(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6797, 6796])).
% 0.94/1.06 tff(6799,plain,
% 0.94/1.06 (~xuntil6(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1391, 6798])).
% 0.94/1.06 tff(6800,plain,
% 0.94/1.06 (~until5(s45)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1385, 1275, 6799, 6793])).
% 0.94/1.06 tff(6801,plain,
% 0.94/1.06 (~xuntil6(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1374, 6800])).
% 0.94/1.06 tff(6802,plain,
% 0.94/1.06 (m_main_v_state(s44, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5651, 155, 6786])).
% 0.94/1.06 tff(6803,plain,
% 0.94/1.06 (~m_main_v_request(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5644, 6802, 6790])).
% 0.94/1.06 tff(6804,plain,
% 0.94/1.06 (~node4(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[638, 20, 6803])).
% 0.94/1.06 tff(6805,plain,
% 0.94/1.06 (xuntil6(s44) | (~until5(s44))),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1368, 1275, 6804])).
% 0.94/1.06 tff(6806,plain,
% 0.94/1.06 (~until5(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6805, 6801])).
% 0.94/1.06 tff(6807,plain,
% 0.94/1.06 (~xuntil6(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1357, 6806])).
% 0.94/1.06 tff(6808,plain,
% 0.94/1.06 (xuntil6(s43) | node4(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1351, 1275, 6784])).
% 0.94/1.06 tff(6809,plain,
% 0.94/1.06 (node4(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6808, 6807])).
% 0.94/1.06 tff(6810,plain,
% 0.94/1.06 (m_main_v_request(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[589, 20, 6809])).
% 0.94/1.06 tff(6811,plain,
% 0.94/1.06 (~m_main_v_state(s43, c_ready)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[621, 6810, 6786])).
% 0.94/1.06 tff(6812,plain,
% 0.94/1.06 (always3(s43)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[593, 67, 6809])).
% 0.94/1.06 tff(6813,plain,
% 0.94/1.06 (~m_main_v_state(s43, c_busy)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[628, 93, 6812])).
% 0.94/1.06 tff(6814,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[632, 155, 6813, 6811])).
% 0.94/1.06 tff(6815,plain,((~always3(s44)) | (~until5(s43)) | xuntil6(s46)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6816,plain,
% 0.94/1.06 (~always3(s44)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6815, 6778, 6784])).
% 0.94/1.06 tff(6817,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1361, 67, 6816, 6783])).
% 0.94/1.06 tff(6818,plain,(xuntil6(s46) | (~until5(s44)) | (~until5(s43))), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6819,plain,
% 0.94/1.06 (xuntil6(s46)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6818, 6777, 6774])).
% 0.94/1.06 tff(6820,plain,
% 0.94/1.06 (until5(s47)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1408, 6819])).
% 0.94/1.06 tff(6821,plain,
% 0.94/1.06 (xuntil6(s47)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5123, 6820])).
% 0.94/1.06 tff(6822,plain,
% 0.94/1.06 (until5(s48)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1425, 6821])).
% 0.94/1.06 tff(6823,plain,
% 0.94/1.06 (xuntil6(s48)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5584, 6822])).
% 0.94/1.06 tff(6824,plain,
% 0.94/1.06 (until5(s49)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[1442, 6823])).
% 0.94/1.06 tff(6825,plain,
% 0.94/1.06 (~m_main_v_request(s49)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5626, 5152, 6612, 5153, 5151, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3868, 3867])).
% 0.94/1.06 tff(6826,assumption,(~m_main_v_request(s49)), introduced(assumption)).
% 0.94/1.06 tff(6827,assumption,(node4(s49)), introduced(assumption)).
% 0.94/1.06 tff(6828,plain,
% 0.94/1.06 ($false),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[5409, 20, 6827, 6826])).
% 0.94/1.06 tff(6829,plain,((~node4(s49)) | m_main_v_request(s49)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.06 tff(6830,plain,
% 0.94/1.06 (~node4(s49)),
% 0.94/1.06 inference(unit_resolution,[status(thm)],[6829, 6825])).
% 0.94/1.07 tff(6831,plain,
% 0.94/1.07 (~until2p7(s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1506, 6830])).
% 0.94/1.07 tff(6832,plain,
% 0.94/1.07 (~trans(s49, s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2153, 1996, 6831])).
% 0.94/1.07 tff(6833,plain,
% 0.94/1.07 (~xuntil2p8(s48)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1521, 6831])).
% 0.94/1.07 tff(6834,plain,
% 0.94/1.07 (~until2p7(s48)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6661, 6833])).
% 0.94/1.07 tff(6835,plain,
% 0.94/1.07 (~xuntil2p8(s47)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1532, 6834])).
% 0.94/1.07 tff(6836,plain,
% 0.94/1.07 (~until2p7(s47)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6664, 6835])).
% 0.94/1.07 tff(6837,plain,
% 0.94/1.07 (~xuntil2p8(s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1543, 6836])).
% 0.94/1.07 tff(6838,plain,
% 0.94/1.07 (~until2p7(s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6667, 6837])).
% 0.94/1.07 tff(6839,plain,
% 0.94/1.07 (~trans(s49, s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2186, 1996, 6838])).
% 0.94/1.07 tff(6840,plain,
% 0.94/1.07 (~trans(s49, s48)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2541, 1996, 6834])).
% 0.94/1.07 tff(6841,plain,
% 0.94/1.07 (~trans(s49, s47)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2453, 1996, 6836])).
% 0.94/1.07 tff(6842,plain,
% 0.94/1.07 ($false),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3503, 6841, 6840, 3868, 5153, 5151, 5152, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 6839, 6832, 3867])).
% 0.94/1.07 tff(6843,plain,((~xuntil6(s49)) | trans(s49, s10) | trans(s49, s26) | trans(s49, s44) | trans(s49, s41) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.07 tff(6844,plain,
% 0.94/1.07 (~xuntil6(s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6843, 5152, 5153, 5151, 3868, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3867])).
% 0.94/1.07 tff(6845,plain,
% 0.94/1.07 ((~m_main_v_request(s49)) | trans(s49, s26) | trans(s49, s41) | trans(s49, s44) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s10) | trans(s49, s0)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5626, 6612])).
% 0.94/1.07 tff(6846,plain,
% 0.94/1.07 (~m_main_v_request(s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6845, 5152, 5153, 5151, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3868, 3867])).
% 0.94/1.07 tff(6847,plain,
% 0.94/1.07 (~node4(s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6829, 6846])).
% 0.94/1.07 tff(6848,assumption,(~xuntil6(s49)), introduced(assumption)).
% 0.94/1.07 tff(6849,plain,
% 0.94/1.07 ($false),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1476, 1275, 1470, 6848, 584])).
% 0.94/1.07 tff(6850,plain,((~until5(s49)) | xuntil6(s49) | node4(s49)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.07 tff(6851,plain,
% 0.94/1.07 ($false),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6850, 6847, 6844, 1470])).
% 0.94/1.07 tff(6852,plain,(trans(s49, s41) | (~until5(s49)) | trans(s49, s26) | trans(s49, s44) | trans(s49, s10) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.07 tff(6853,plain,
% 0.94/1.07 (trans(s49, s45)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6852, 6824, 6760, 6759, 6758, 6757, 6756, 6755, 6754, 6753, 6752, 6751, 6750, 6749, 6748, 6747, 6746, 6745, 6744, 6743, 6742, 6741, 6740, 6739, 6738, 6737, 6736, 6735, 6734, 6733, 6732, 6731, 6730, 6729, 6728, 6727, 6726, 6725, 6724, 6723, 6722, 6721, 6720, 6719, 6718, 6717, 6716])).
% 0.94/1.07 tff(6854,plain,
% 0.94/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s45)) | node2(s49, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s45)) | node2(s49, s45))),
% 0.94/1.07 inference(rewrite,[status(thm)],[])).
% 0.94/1.07 tff(6855,plain,
% 0.94/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s45)) | node2(s49, s45))),
% 0.94/1.07 inference(quant_inst,[status(thm)],[])).
% 0.94/1.07 tff(6856,plain,
% 0.94/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s45)) | node2(s49, s45)),
% 0.94/1.07 inference(modus_ponens,[status(thm)],[6855, 6854])).
% 0.94/1.07 tff(6857,plain,
% 0.94/1.07 (node2(s49, s45)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6856, 6853, 7])).
% 0.94/1.07 tff(6858,plain,
% 0.94/1.07 (~node4(s0)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[70, 67, 6715])).
% 0.94/1.07 tff(6859,plain,
% 0.94/1.07 (~node4(s1)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[211, 67, 6714])).
% 0.94/1.07 tff(6860,plain,
% 0.94/1.07 (~node4(s31)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1171, 67, 6684])).
% 0.94/1.07 tff(6861,plain,
% 0.94/1.07 (~node4(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[254, 67, 6679])).
% 0.94/1.07 tff(6862,plain,
% 0.94/1.07 (~node4(s21)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[355, 67, 6694])).
% 0.94/1.07 tff(6863,plain,
% 0.94/1.07 (~node4(s24)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[490, 67, 6691])).
% 0.94/1.07 tff(6864,plain,
% 0.94/1.07 (~node4(s20)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[539, 67, 6695])).
% 0.94/1.07 tff(6865,plain,
% 0.94/1.07 (~node4(s18)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[447, 67, 6697])).
% 0.94/1.07 tff(6866,plain,
% 0.94/1.07 (~node4(s11)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[404, 67, 6704])).
% 0.94/1.07 tff(6867,plain,
% 0.94/1.07 (~node4(s10)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[109, 67, 6705])).
% 0.94/1.07 tff(6868,plain,
% 0.94/1.07 (~node4(s9)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[168, 67, 6706])).
% 0.94/1.07 tff(6869,plain,
% 0.94/1.07 (~node4(s32)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1167, 67, 6683])).
% 0.94/1.07 tff(6870,plain,
% 0.94/1.07 (xuntil6(s1)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3018, 1275, 5962, 583])).
% 0.94/1.07 tff(6871,plain,
% 0.94/1.07 (until5(s2)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3023, 6870])).
% 0.94/1.07 tff(6872,plain,
% 0.94/1.07 (xuntil6(s2) | (~until5(s2))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3031, 1275, 5908])).
% 0.94/1.07 tff(6873,plain,
% 0.94/1.07 (xuntil6(s2)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6872, 6871])).
% 0.94/1.07 tff(6874,plain,
% 0.94/1.07 (until5(s3)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3037, 6873])).
% 0.94/1.07 tff(6875,plain,
% 0.94/1.07 (xuntil6(s3) | (~until5(s3))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3045, 1275, 5775])).
% 0.94/1.07 tff(6876,plain,
% 0.94/1.07 (xuntil6(s3)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6875, 6874])).
% 0.94/1.07 tff(6877,plain,
% 0.94/1.07 (until5(s4)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3051, 6876])).
% 0.94/1.07 tff(6878,plain,
% 0.94/1.07 (xuntil6(s4) | (~until5(s4))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3059, 1275, 5688])).
% 0.94/1.07 tff(6879,plain,
% 0.94/1.07 (xuntil6(s4)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6878, 6877])).
% 0.94/1.07 tff(6880,plain,
% 0.94/1.07 (until5(s5)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3065, 6879])).
% 0.94/1.07 tff(6881,plain,
% 0.94/1.07 (xuntil6(s5) | (~until5(s5))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3073, 1275, 5885])).
% 0.94/1.07 tff(6882,plain,
% 0.94/1.07 (xuntil6(s5)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6881, 6880])).
% 0.94/1.07 tff(6883,plain,
% 0.94/1.07 (until5(s6)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3079, 6882])).
% 0.94/1.07 tff(6884,plain,
% 0.94/1.07 (xuntil6(s6) | (~until5(s6))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3087, 1275, 5862])).
% 0.94/1.07 tff(6885,plain,
% 0.94/1.07 (xuntil6(s6)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6884, 6883])).
% 0.94/1.07 tff(6886,plain,
% 0.94/1.07 (until5(s7)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3093, 6885])).
% 0.94/1.07 tff(6887,plain,
% 0.94/1.07 (xuntil6(s7) | (~until5(s7))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3101, 1275, 5810])).
% 0.94/1.07 tff(6888,plain,
% 0.94/1.07 (xuntil6(s7)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6887, 6886])).
% 0.94/1.07 tff(6889,plain,
% 0.94/1.07 (until5(s8)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3107, 6888])).
% 0.94/1.07 tff(6890,plain,
% 0.94/1.07 (xuntil6(s8) | (~until5(s8))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3115, 1275, 5833])).
% 0.94/1.07 tff(6891,plain,
% 0.94/1.07 (xuntil6(s8)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6890, 6889])).
% 0.94/1.07 tff(6892,plain,
% 0.94/1.07 (until5(s9)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3121, 6891])).
% 0.94/1.07 tff(6893,plain,
% 0.94/1.07 (xuntil6(s9) | node4(s9)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3129, 1275, 6892])).
% 0.94/1.07 tff(6894,plain,
% 0.94/1.07 (xuntil6(s9)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6893, 576])).
% 0.94/1.07 tff(6895,plain,
% 0.94/1.07 (until5(s10)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3135, 6894])).
% 0.94/1.07 tff(6896,plain,
% 0.94/1.07 (xuntil6(s10)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3143, 1275, 6895, 580])).
% 0.94/1.07 tff(6897,plain,
% 0.94/1.07 (until5(s11)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3149, 6896])).
% 0.94/1.07 tff(6898,plain,
% 0.94/1.07 (xuntil6(s11) | node4(s11)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3157, 1275, 6897])).
% 0.94/1.07 tff(6899,plain,
% 0.94/1.07 (xuntil6(s11)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6898, 581])).
% 0.94/1.07 tff(6900,plain,
% 0.94/1.07 (until5(s12)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3163, 6899])).
% 0.94/1.07 tff(6901,plain,
% 0.94/1.07 (xuntil6(s12)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5987, 6900])).
% 0.94/1.07 tff(6902,plain,
% 0.94/1.07 (until5(s13)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3177, 6901])).
% 0.94/1.07 tff(6903,plain,
% 0.94/1.07 (xuntil6(s13) | (~until5(s13))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3185, 1275, 5746])).
% 0.94/1.07 tff(6904,plain,
% 0.94/1.07 (xuntil6(s13)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6903, 6902])).
% 0.94/1.07 tff(6905,plain,
% 0.94/1.07 (until5(s14)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3191, 6904])).
% 0.94/1.07 tff(6906,plain,
% 0.94/1.07 (xuntil6(s14) | (~until5(s14))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3199, 1275, 5723])).
% 0.94/1.07 tff(6907,plain,
% 0.94/1.07 (xuntil6(s14)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6906, 6905])).
% 0.94/1.07 tff(6908,plain,
% 0.94/1.07 (until5(s15)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3205, 6907])).
% 0.94/1.07 tff(6909,plain,
% 0.94/1.07 (xuntil6(s15) | (~until5(s15))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3213, 1275, 5960])).
% 0.94/1.07 tff(6910,plain,
% 0.94/1.07 (xuntil6(s15)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6909, 6908])).
% 0.94/1.07 tff(6911,plain,
% 0.94/1.07 (until5(s16)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3219, 6910])).
% 0.94/1.07 tff(6912,plain,
% 0.94/1.07 (xuntil6(s16) | (~until5(s16))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3227, 1275, 5937])).
% 0.94/1.07 tff(6913,plain,
% 0.94/1.07 (xuntil6(s16)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6912, 6911])).
% 0.94/1.07 tff(6914,plain,
% 0.94/1.07 (until5(s17)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3233, 6913])).
% 0.94/1.07 tff(6915,plain,
% 0.94/1.07 (xuntil6(s17)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3241, 1275, 6914, 585])).
% 0.94/1.07 tff(6916,plain,
% 0.94/1.07 (until5(s18)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3247, 6915])).
% 0.94/1.07 tff(6917,plain,
% 0.94/1.07 (xuntil6(s18) | node4(s18)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3255, 1275, 6916])).
% 0.94/1.07 tff(6918,plain,
% 0.94/1.07 (xuntil6(s18)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6917, 578])).
% 0.94/1.07 tff(6919,plain,
% 0.94/1.07 (until5(s19)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3261, 6918])).
% 0.94/1.07 tff(6920,plain,
% 0.94/1.07 (xuntil6(s19)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4808, 6919])).
% 0.94/1.07 tff(6921,plain,
% 0.94/1.07 (until5(s20)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3275, 6920])).
% 0.94/1.07 tff(6922,plain,
% 0.94/1.07 (xuntil6(s20) | node4(s20)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3283, 1275, 6921])).
% 0.94/1.07 tff(6923,plain,
% 0.94/1.07 (xuntil6(s20)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6922, 1456])).
% 0.94/1.07 tff(6924,plain,
% 0.94/1.07 (until5(s21)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3289, 6923])).
% 0.94/1.07 tff(6925,plain,
% 0.94/1.07 (xuntil6(s21)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6018, 6924])).
% 0.94/1.07 tff(6926,plain,
% 0.94/1.07 (until5(s22)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3303, 6925])).
% 0.94/1.07 tff(6927,plain,
% 0.94/1.07 (xuntil6(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6508, 6926, 577])).
% 0.94/1.07 tff(6928,plain,
% 0.94/1.07 (until5(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2778, 6927])).
% 0.94/1.07 tff(6929,plain,
% 0.94/1.07 (xuntil6(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6534, 6928])).
% 0.94/1.07 tff(6930,plain,
% 0.94/1.07 (until5(s39)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2763, 6929])).
% 0.94/1.07 tff(6931,plain,
% 0.94/1.07 (xuntil6(s39)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4947, 6930])).
% 0.94/1.07 tff(6932,plain,
% 0.94/1.07 (until5(s40)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1297, 6931])).
% 0.94/1.07 tff(6933,plain,
% 0.94/1.07 (xuntil6(s40)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4979, 6932])).
% 0.94/1.07 tff(6934,plain,
% 0.94/1.07 (until5(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1309, 6933])).
% 0.94/1.07 tff(6935,plain,
% 0.94/1.07 (xuntil6(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5011, 6934])).
% 0.94/1.07 tff(6936,plain,
% 0.94/1.07 (until5(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1326, 6935])).
% 0.94/1.07 tff(6937,plain,
% 0.94/1.07 (xuntil6(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6566, 6936])).
% 0.94/1.07 tff(6938,plain,
% 0.94/1.07 (until5(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1343, 6937])).
% 0.94/1.07 tff(6939,plain,
% 0.94/1.07 (xuntil6(s43) | node4(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1351, 1275, 6938])).
% 0.94/1.07 tff(6940,plain,
% 0.94/1.07 (xuntil6(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6939, 1578])).
% 0.94/1.07 tff(6941,plain,
% 0.94/1.07 (until5(s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1357, 6940])).
% 0.94/1.07 tff(6942,plain,
% 0.94/1.07 (xuntil6(s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6818, 6941, 6938])).
% 0.94/1.07 tff(6943,plain,
% 0.94/1.07 (until5(s47)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1408, 6942])).
% 0.94/1.07 tff(6944,plain,
% 0.94/1.07 (xuntil6(s47)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5123, 6943])).
% 0.94/1.07 tff(6945,plain,
% 0.94/1.07 (until5(s48)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1425, 6944])).
% 0.94/1.07 tff(6946,plain,
% 0.94/1.07 (xuntil6(s48)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5584, 6945])).
% 0.94/1.07 tff(6947,plain,
% 0.94/1.07 (until5(s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1442, 6946])).
% 0.94/1.07 tff(6948,plain,
% 0.94/1.07 (xuntil6(s49)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6850, 6947, 584])).
% 0.94/1.07 tff(6949,plain,
% 0.94/1.07 (~trans(s49, s45)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2131, 6948, 6671])).
% 0.94/1.07 tff(6950,plain,
% 0.94/1.07 (~always3(s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6632, 1567, 583, 585, 584, 581, 579, 582, 1456, 580, 1578, 578, 577, 576, 575])).
% 0.94/1.07 tff(6951,plain,
% 0.94/1.07 (~always3(s27)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[833, 6950])).
% 0.94/1.07 tff(6952,plain,
% 0.94/1.07 (~always3(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[845, 6951])).
% 0.94/1.07 tff(6953,plain,
% 0.94/1.07 (~always3(s25)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[857, 6952])).
% 0.94/1.07 tff(6954,plain,
% 0.94/1.07 (~always3(s24)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[502, 6953])).
% 0.94/1.07 tff(6955,plain,
% 0.94/1.07 (~always3(s23)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[870, 6954])).
% 0.94/1.07 tff(6956,plain,
% 0.94/1.07 (~always3(s22)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[882, 6955])).
% 0.94/1.07 tff(6957,plain,
% 0.94/1.07 (~always3(s21)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[367, 6956])).
% 0.94/1.07 tff(6958,plain,
% 0.94/1.07 (~always3(s20)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[551, 6957])).
% 0.94/1.07 tff(6959,plain,
% 0.94/1.07 (~always3(s19)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[896, 6958])).
% 0.94/1.07 tff(6960,plain,
% 0.94/1.07 (~always3(s18)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[459, 6959])).
% 0.94/1.07 tff(6961,plain,
% 0.94/1.07 (~always3(s17)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[345, 6960])).
% 0.94/1.07 tff(6962,plain,
% 0.94/1.07 (~always3(s16)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[910, 6961])).
% 0.94/1.07 tff(6963,plain,
% 0.94/1.07 (~always3(s15)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[922, 6962])).
% 0.94/1.07 tff(6964,plain,
% 0.94/1.07 (~always3(s14)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[934, 6963])).
% 0.94/1.07 tff(6965,plain,
% 0.94/1.07 (~trans(s49, s14)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3707, 6964])).
% 0.94/1.07 tff(6966,plain,
% 0.94/1.07 (~always3(s13)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[946, 6964])).
% 0.94/1.07 tff(6967,plain,
% 0.94/1.07 (~always3(s12)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[958, 6966])).
% 0.94/1.07 tff(6968,plain,
% 0.94/1.07 (~trans(s49, s12)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3717, 6967])).
% 0.94/1.07 tff(6969,plain,
% 0.94/1.07 (~xuntil2p8(s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1565, 6671])).
% 0.94/1.07 tff(6970,plain,
% 0.94/1.07 (node4(s44) | (~until2p7(s44))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1570, 1502, 6969])).
% 0.94/1.07 tff(6971,plain,
% 0.94/1.07 (~until2p7(s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6970, 1567])).
% 0.94/1.07 tff(6972,plain,
% 0.94/1.07 (~xuntil2p8(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1576, 6971])).
% 0.94/1.07 tff(6973,plain,
% 0.94/1.07 (~until2p7(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1581, 1502, 6972, 1578])).
% 0.94/1.07 tff(6974,plain,
% 0.94/1.07 (~xuntil2p8(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1587, 6973])).
% 0.94/1.07 tff(6975,plain,
% 0.94/1.07 (xuntil2p8(s42) | (~until2p7(s42))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1592, 1502, 6565])).
% 0.94/1.07 tff(6976,plain,
% 0.94/1.07 (~until2p7(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6975, 6974])).
% 0.94/1.07 tff(6977,plain,
% 0.94/1.07 (~xuntil2p8(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1598, 6976])).
% 0.94/1.07 tff(6978,plain,
% 0.94/1.07 (xuntil2p8(s41) | (~until2p7(s41))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1603, 1502, 5010])).
% 0.94/1.07 tff(6979,plain,
% 0.94/1.07 (~until2p7(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6978, 6977])).
% 0.94/1.07 tff(6980,plain,
% 0.94/1.07 (~xuntil2p8(s40)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1609, 6979])).
% 0.94/1.07 tff(6981,plain,
% 0.94/1.07 (xuntil2p8(s40) | (~until2p7(s40))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1614, 1502, 4978])).
% 0.94/1.07 tff(6982,plain,
% 0.94/1.07 (~until2p7(s40)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6981, 6980])).
% 0.94/1.07 tff(6983,plain,
% 0.94/1.07 (~xuntil2p8(s39)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1620, 6982])).
% 0.94/1.07 tff(6984,plain,
% 0.94/1.07 (xuntil2p8(s39) | (~until2p7(s39))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1625, 1502, 4946])).
% 0.94/1.07 tff(6985,plain,
% 0.94/1.07 (~until2p7(s39)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6984, 6983])).
% 0.94/1.07 tff(6986,plain,
% 0.94/1.07 (~xuntil2p8(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1631, 6985])).
% 0.94/1.07 tff(6987,plain,
% 0.94/1.07 (xuntil2p8(s38) | (~until2p7(s38))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1635, 1502, 6533])).
% 0.94/1.07 tff(6988,plain,
% 0.94/1.07 (~until2p7(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6987, 6986])).
% 0.94/1.07 tff(6989,plain,
% 0.94/1.07 (~xuntil2p8(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1641, 6988])).
% 0.94/1.07 tff(6990,assumption,(node4(s37)), introduced(assumption)).
% 0.94/1.07 tff(6991,plain,
% 0.94/1.07 (m_main_v_request(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6035, 20, 6990])).
% 0.94/1.07 tff(6992,plain,
% 0.94/1.07 (always3(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1154, 67, 6990])).
% 0.94/1.07 tff(6993,plain,
% 0.94/1.07 (always3(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[724, 6992])).
% 0.94/1.07 tff(6994,plain,
% 0.94/1.07 (~m_main_v_state(s38, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6028, 93, 6993])).
% 0.94/1.07 tff(6995,plain,
% 0.94/1.07 (~m_main_v_state(s37, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6044, 6994, 6991])).
% 0.94/1.07 tff(6996,plain,
% 0.94/1.07 (~m_main_v_state(s37, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[273, 93, 6992])).
% 0.94/1.07 tff(6997,plain,
% 0.94/1.07 ($false),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6049, 155, 6996, 6995])).
% 0.94/1.07 tff(6998,plain,(~node4(s37)), inference(lemma,lemma(discharge,[]))).
% 0.94/1.07 tff(6999,plain,
% 0.94/1.07 (xuntil2p8(s37) | (~until2p7(s37))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1645, 1502, 6998])).
% 0.94/1.07 tff(7000,plain,
% 0.94/1.07 (~until2p7(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6999, 6989])).
% 0.94/1.07 tff(7001,plain,
% 0.94/1.07 (~xuntil2p8(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1651, 7000])).
% 0.94/1.07 tff(7002,plain,
% 0.94/1.07 (~until2p7(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1655, 1502, 7001, 577])).
% 0.94/1.07 tff(7003,plain,
% 0.94/1.07 (~xuntil2p8(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1661, 7002])).
% 0.94/1.07 tff(7004,plain,
% 0.94/1.07 (xuntil2p8(s35) | (~until2p7(s35))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1665, 1502, 6078])).
% 0.94/1.07 tff(7005,plain,
% 0.94/1.07 (~until2p7(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7004, 7003])).
% 0.94/1.07 tff(7006,plain,
% 0.94/1.07 (~trans(s49, s16)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3727, 6962])).
% 0.94/1.07 tff(7007,plain,
% 0.94/1.07 (~trans(s49, s25)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3901, 6953])).
% 0.94/1.07 tff(7008,plain,
% 0.94/1.07 (~trans(s49, s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2175, 7002, 6948])).
% 0.94/1.07 tff(7009,plain,
% 0.94/1.07 (~trans(s49, s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2335, 6988, 6948])).
% 0.94/1.07 tff(7010,plain,
% 0.94/1.07 (~trans(s49, s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2519, 6976, 6948])).
% 0.94/1.07 tff(7011,plain,
% 0.94/1.07 (~trans(s49, s17)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3943, 6961])).
% 0.94/1.07 tff(7012,plain,
% 0.94/1.07 (~trans(s49, s23)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3955, 6955])).
% 0.94/1.07 tff(7013,plain,
% 0.94/1.07 (~always3(s11)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[416, 6967])).
% 0.94/1.07 tff(7014,plain,
% 0.94/1.07 (~trans(s49, s11)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3769, 7013])).
% 0.94/1.07 tff(7015,plain,
% 0.94/1.07 (~trans(s49, s24)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3968, 6954])).
% 0.94/1.07 tff(7016,plain,
% 0.94/1.07 (~trans(s49, s20)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3979, 6958])).
% 0.94/1.07 tff(7017,plain,
% 0.94/1.07 (~always3(s10)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[121, 7013])).
% 0.94/1.07 tff(7018,plain,
% 0.94/1.07 (~always3(s9)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[180, 7017])).
% 0.94/1.07 tff(7019,plain,
% 0.94/1.07 (~trans(s49, s9)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3791, 7018])).
% 0.94/1.07 tff(7020,plain,
% 0.94/1.07 (~trans(s49, s39)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2431, 6985, 6948])).
% 0.94/1.07 tff(7021,plain,
% 0.94/1.07 (~trans(s49, s21)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4145, 6957])).
% 0.94/1.07 tff(7022,plain,
% 0.94/1.07 (~trans(s49, s15)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3863, 6963])).
% 0.94/1.07 tff(7023,plain,
% 0.94/1.07 (~trans(s49, s40)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2497, 6982, 6948])).
% 0.94/1.07 tff(7024,plain,
% 0.94/1.07 (~trans(s49, s22)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4336, 6956])).
% 0.94/1.07 tff(7025,plain,
% 0.94/1.07 (~trans(s49, s27)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4358, 6951])).
% 0.94/1.07 tff(7026,plain,
% 0.94/1.07 (~trans(s49, s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2258, 6973, 6948])).
% 0.94/1.07 tff(7027,plain,
% 0.94/1.07 (~trans(s49, s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4525, 6950])).
% 0.94/1.07 tff(7028,plain,
% 0.94/1.07 (~trans(s49, s13)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3836, 6966])).
% 0.94/1.07 tff(7029,plain,
% 0.94/1.07 (~trans(s49, s19)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4581, 6959])).
% 0.94/1.07 tff(7030,plain,
% 0.94/1.07 (~trans(s49, s18)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4570, 6960])).
% 0.94/1.07 tff(7031,plain,
% 0.94/1.07 (~trans(s49, s10)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3687, 7017])).
% 0.94/1.07 tff(7032,plain,
% 0.94/1.07 (~trans(s49, s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2607, 6971, 6948])).
% 0.94/1.07 tff(7033,plain,
% 0.94/1.07 (xuntil6(s22)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6389, 6926])).
% 0.94/1.07 tff(7034,plain,
% 0.94/1.07 (until5(s23)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3317, 7033])).
% 0.94/1.07 tff(7035,plain,
% 0.94/1.07 (xuntil6(s23)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6386, 7034])).
% 0.94/1.07 tff(7036,plain,
% 0.94/1.07 (until5(s24)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3331, 7035])).
% 0.94/1.07 tff(7037,plain,
% 0.94/1.07 (xuntil6(s24)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3339, 1275, 7036, 579])).
% 0.94/1.07 tff(7038,plain,
% 0.94/1.07 (until5(s25)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[3345, 7037])).
% 0.94/1.07 tff(7039,plain,
% 0.94/1.07 (always3(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4772, 4763])).
% 0.94/1.07 tff(7040,plain,
% 0.94/1.07 (always3(s27)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[845, 7039])).
% 0.94/1.07 tff(7041,plain,
% 0.94/1.07 (always3(s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[833, 7040])).
% 0.94/1.07 tff(7042,plain,
% 0.94/1.07 (always3(s29)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[821, 7041])).
% 0.94/1.07 tff(7043,plain,
% 0.94/1.07 (~m_main_v_state(s29, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6261, 93, 7042])).
% 0.94/1.07 tff(7044,plain,
% 0.94/1.07 (~m_main_v_state(s28, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1796, 93, 7041])).
% 0.94/1.07 tff(7045,plain,
% 0.94/1.07 (m_main_v_state(s28, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6306, 155, 7044])).
% 0.94/1.07 tff(7046,plain,
% 0.94/1.07 (~m_main_v_request(s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6302, 7045, 7043])).
% 0.94/1.07 tff(7047,plain,
% 0.94/1.07 (~node4(s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6293, 20, 7046])).
% 0.94/1.07 tff(7048,plain,
% 0.94/1.07 (~m_main_v_state(s27, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1812, 93, 7040])).
% 0.94/1.07 tff(7049,plain,
% 0.94/1.07 (~m_main_v_state(s26, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6338, 93, 7039])).
% 0.94/1.07 tff(7050,plain,
% 0.94/1.07 (m_main_v_state(s26, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6342, 155, 7049])).
% 0.94/1.07 tff(7051,plain,
% 0.94/1.07 (~m_main_v_request(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6331, 7050, 7048])).
% 0.94/1.07 tff(7052,plain,
% 0.94/1.07 (~node4(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6319, 20, 7051])).
% 0.94/1.07 tff(7053,plain,
% 0.94/1.07 (~node4(s25)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6369, 7049])).
% 0.94/1.07 tff(7054,assumption,(until5(s25)), introduced(assumption)).
% 0.94/1.07 tff(7055,plain,
% 0.94/1.07 (xuntil6(s25) | node4(s25)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2967, 1275, 7054])).
% 0.94/1.07 tff(7056,plain,
% 0.94/1.07 (xuntil6(s25)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7055, 7053])).
% 0.94/1.07 tff(7057,plain,
% 0.94/1.07 (until5(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2958, 7056])).
% 0.94/1.07 tff(7058,plain,
% 0.94/1.07 (xuntil6(s26) | node4(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2952, 1275, 7057])).
% 0.94/1.07 tff(7059,plain,
% 0.94/1.07 (xuntil6(s26)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7058, 7052])).
% 0.94/1.07 tff(7060,plain,
% 0.94/1.07 (until5(s27)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2943, 7059])).
% 0.94/1.07 tff(7061,plain,
% 0.94/1.07 (xuntil6(s27)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6313, 7060])).
% 0.94/1.07 tff(7062,plain,
% 0.94/1.07 (until5(s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2928, 7061])).
% 0.94/1.07 tff(7063,plain,
% 0.94/1.07 (xuntil6(s28)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2922, 1275, 7062, 7047])).
% 0.94/1.07 tff(7064,plain,
% 0.94/1.07 (until5(s29)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2913, 7063])).
% 0.94/1.07 tff(7065,plain,
% 0.94/1.07 (xuntil6(s29)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6285, 7064, 3569])).
% 0.94/1.07 tff(7066,plain,
% 0.94/1.07 (until5(s30)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2898, 7065])).
% 0.94/1.07 tff(7067,plain,
% 0.94/1.07 (always3(s30)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[809, 7042])).
% 0.94/1.07 tff(7068,plain,
% 0.94/1.07 (always3(s31)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[797, 7067])).
% 0.94/1.07 tff(7069,plain,
% 0.94/1.07 (~m_main_v_state(s31, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6177, 93, 7068])).
% 0.94/1.07 tff(7070,plain,
% 0.94/1.07 (~m_main_v_state(s30, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6208, 93, 7067])).
% 0.94/1.07 tff(7071,plain,
% 0.94/1.07 (m_main_v_state(s30, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6212, 155, 7070])).
% 0.94/1.07 tff(7072,plain,
% 0.94/1.07 (~m_main_v_request(s30)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6201, 7071, 7069])).
% 0.94/1.07 tff(7073,plain,
% 0.94/1.07 (~node4(s30)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6189, 20, 7072])).
% 0.94/1.07 tff(7074,plain,
% 0.94/1.07 (xuntil6(s30) | (~until5(s30))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2892, 1275, 7073])).
% 0.94/1.07 tff(7075,plain,
% 0.94/1.07 (xuntil6(s30)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7074, 7066])).
% 0.94/1.07 tff(7076,plain,
% 0.94/1.07 (until5(s31)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2883, 7075])).
% 0.94/1.07 tff(7077,plain,
% 0.94/1.07 (xuntil6(s32)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6183, 7076])).
% 0.94/1.07 tff(7078,plain,
% 0.94/1.07 (until5(s33)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2853, 7077])).
% 0.94/1.07 tff(7079,plain,
% 0.94/1.07 (always3(s32)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[785, 7068])).
% 0.94/1.07 tff(7080,plain,
% 0.94/1.07 (always3(s33)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[773, 7079])).
% 0.94/1.07 tff(7081,plain,
% 0.94/1.07 (always3(s34)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[761, 7080])).
% 0.94/1.07 tff(7082,plain,
% 0.94/1.07 (~m_main_v_state(s34, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1704, 93, 7081])).
% 0.94/1.07 tff(7083,plain,
% 0.94/1.07 (~m_main_v_state(s33, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6107, 93, 7080])).
% 0.94/1.07 tff(7084,plain,
% 0.94/1.07 (m_main_v_state(s33, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6111, 155, 7083])).
% 0.94/1.07 tff(7085,plain,
% 0.94/1.07 (~m_main_v_request(s33)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6100, 7084, 7082])).
% 0.94/1.07 tff(7086,plain,
% 0.94/1.07 (~node4(s33)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6088, 20, 7085])).
% 0.94/1.07 tff(7087,plain,
% 0.94/1.07 (xuntil6(s33) | (~until5(s33))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2847, 1275, 7086])).
% 0.94/1.07 tff(7088,plain,
% 0.94/1.07 (xuntil6(s33)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7087, 7078])).
% 0.94/1.07 tff(7089,plain,
% 0.94/1.07 (until5(s34)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2838, 7088])).
% 0.94/1.07 tff(7090,plain,
% 0.94/1.07 (xuntil6(s34)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6082, 7089])).
% 0.94/1.07 tff(7091,plain,
% 0.94/1.07 (until5(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2823, 7090])).
% 0.94/1.07 tff(7092,plain,
% 0.94/1.07 (always3(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[749, 7081])).
% 0.94/1.07 tff(7093,plain,
% 0.94/1.07 (always3(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[737, 7092])).
% 0.94/1.07 tff(7094,plain,
% 0.94/1.07 (~m_main_v_state(s36, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[289, 93, 7093])).
% 0.94/1.07 tff(7095,plain,
% 0.94/1.07 (~m_main_v_state(s35, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1688, 93, 7092])).
% 0.94/1.07 tff(7096,plain,
% 0.94/1.07 (m_main_v_state(s35, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6076, 155, 7095])).
% 0.94/1.07 tff(7097,plain,
% 0.94/1.07 (~m_main_v_request(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6071, 7096, 7094])).
% 0.94/1.07 tff(7098,plain,
% 0.94/1.07 (~node4(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6059, 20, 7097])).
% 0.94/1.07 tff(7099,plain,
% 0.94/1.07 (xuntil6(s35) | (~until5(s35))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2817, 1275, 7098])).
% 0.94/1.07 tff(7100,plain,
% 0.94/1.07 (xuntil6(s35)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7099, 7091])).
% 0.94/1.07 tff(7101,plain,
% 0.94/1.07 (until5(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2808, 7100])).
% 0.94/1.07 tff(7102,plain,
% 0.94/1.07 (always3(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[266, 7093])).
% 0.94/1.07 tff(7103,plain,
% 0.94/1.07 (~m_main_v_state(s37, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[273, 93, 7102])).
% 0.94/1.07 tff(7104,plain,
% 0.94/1.07 (m_main_v_state(s36, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[293, 155, 7094])).
% 0.94/1.07 tff(7105,plain,
% 0.94/1.07 (~m_main_v_request(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[282, 7104, 7103])).
% 0.94/1.07 tff(7106,plain,
% 0.94/1.07 (~node4(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[250, 20, 7105])).
% 0.94/1.07 tff(7107,plain,
% 0.94/1.07 (xuntil6(s36) | (~until5(s36))),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2802, 1275, 7106])).
% 0.94/1.07 tff(7108,plain,
% 0.94/1.07 (xuntil6(s36)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[7107, 7101])).
% 0.94/1.07 tff(7109,plain,
% 0.94/1.07 (until5(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[2793, 7108])).
% 0.94/1.07 tff(7110,plain,
% 0.94/1.07 (xuntil6(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6051, 7109, 3569])).
% 0.94/1.07 tff(7111,plain,
% 0.94/1.07 (always3(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[724, 7102])).
% 0.94/1.07 tff(7112,plain,
% 0.94/1.07 (always3(s39)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[712, 7111])).
% 0.94/1.07 tff(7113,plain,
% 0.94/1.07 (always3(s40)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[700, 7112])).
% 0.94/1.07 tff(7114,plain,
% 0.94/1.07 (always3(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[688, 7113])).
% 0.94/1.07 tff(7115,plain,
% 0.94/1.07 (always3(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[676, 7114])).
% 0.94/1.07 tff(7116,plain,
% 0.94/1.07 (always3(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[664, 7115])).
% 0.94/1.07 tff(7117,plain,
% 0.94/1.07 (always3(s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[605, 7116])).
% 0.94/1.07 tff(7118,plain,
% 0.94/1.07 (always3(s45)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[651, 7117])).
% 0.94/1.07 tff(7119,plain,
% 0.94/1.07 (always3(s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[1099, 7118])).
% 0.94/1.07 tff(7120,plain,
% 0.94/1.07 (~m_main_v_state(s46, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5036, 93, 7119])).
% 0.94/1.07 tff(7121,plain,
% 0.94/1.07 (m_main_v_state(s46, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5592, 155, 7120])).
% 0.94/1.07 tff(7122,plain,
% 0.94/1.07 (~m_main_v_request(s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5602, 7121])).
% 0.94/1.07 tff(7123,plain,
% 0.94/1.07 (~node4(s46)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5606, 20, 7122])).
% 0.94/1.07 tff(7124,plain,
% 0.94/1.07 (~m_main_v_state(s45, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5052, 93, 7118])).
% 0.94/1.07 tff(7125,plain,
% 0.94/1.07 (m_main_v_state(s45, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5056, 155, 7124])).
% 0.94/1.07 tff(7126,plain,
% 0.94/1.07 (~m_main_v_request(s45)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5045, 7125, 7120])).
% 0.94/1.07 tff(7127,plain,
% 0.94/1.07 (~node4(s45)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5027, 20, 7126])).
% 0.94/1.07 tff(7128,plain,
% 0.94/1.07 (~m_main_v_state(s44, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[612, 93, 7117])).
% 0.94/1.07 tff(7129,plain,
% 0.94/1.07 (m_main_v_state(s44, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5651, 155, 7128])).
% 0.94/1.07 tff(7130,plain,
% 0.94/1.07 (~m_main_v_request(s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5644, 7129, 7124])).
% 0.94/1.07 tff(7131,plain,
% 0.94/1.07 (~node4(s44)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[638, 20, 7130])).
% 0.94/1.07 tff(7132,plain,
% 0.94/1.07 (~m_main_v_state(s43, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[628, 93, 7116])).
% 0.94/1.07 tff(7133,plain,
% 0.94/1.07 (m_main_v_state(s43, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[632, 155, 7132])).
% 0.94/1.07 tff(7134,plain,
% 0.94/1.07 (~m_main_v_request(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[621, 7133, 7128])).
% 0.94/1.07 tff(7135,plain,
% 0.94/1.07 (~node4(s43)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[589, 20, 7134])).
% 0.94/1.07 tff(7136,plain,
% 0.94/1.07 (~m_main_v_state(s42, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4994, 93, 7115])).
% 0.94/1.07 tff(7137,plain,
% 0.94/1.07 (m_main_v_state(s42, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6563, 155, 7136])).
% 0.94/1.07 tff(7138,plain,
% 0.94/1.07 (~m_main_v_request(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6558, 7137, 7132])).
% 0.94/1.07 tff(7139,plain,
% 0.94/1.07 (~node4(s42)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6546, 20, 7138])).
% 0.94/1.07 tff(7140,plain,
% 0.94/1.07 (~m_main_v_state(s41, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4962, 93, 7114])).
% 0.94/1.07 tff(7141,plain,
% 0.94/1.07 (m_main_v_state(s41, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5008, 155, 7140])).
% 0.94/1.07 tff(7142,plain,
% 0.94/1.07 (~m_main_v_request(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[5003, 7141, 7136])).
% 0.94/1.07 tff(7143,plain,
% 0.94/1.07 (~node4(s41)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4985, 20, 7142])).
% 0.94/1.07 tff(7144,plain,
% 0.94/1.07 (~m_main_v_state(s39, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[4940, 93, 7112])).
% 0.94/1.07 tff(7145,plain,
% 0.94/1.07 (~m_main_v_state(s38, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6028, 93, 7111])).
% 0.94/1.07 tff(7146,plain,
% 0.94/1.07 (m_main_v_state(s38, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6531, 155, 7145])).
% 0.94/1.07 tff(7147,plain,
% 0.94/1.07 (~m_main_v_request(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6526, 7146, 7144])).
% 0.94/1.07 tff(7148,plain,
% 0.94/1.07 (~node4(s38)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6514, 20, 7147])).
% 0.94/1.07 tff(7149,plain,
% 0.94/1.07 (m_main_v_state(s37, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6049, 155, 7103])).
% 0.94/1.07 tff(7150,plain,
% 0.94/1.07 (~m_main_v_request(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6044, 7149, 7145])).
% 0.94/1.07 tff(7151,plain,
% 0.94/1.07 (~node4(s37)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6035, 20, 7150])).
% 0.94/1.07 tff(7152,plain,
% 0.94/1.07 (~m_main_v_state(s32, c_busy)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6134, 93, 7079])).
% 0.94/1.07 tff(7153,plain,
% 0.94/1.07 (m_main_v_state(s32, c_ready)),
% 0.94/1.07 inference(unit_resolution,[status(thm)],[6140, 155, 7152])).
% 0.94/1.07 tff(7154,plain,
% 1.01/1.07 (~m_main_v_request(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6149, 7153, 7083])).
% 1.01/1.07 tff(7155,plain,
% 1.01/1.07 (~node4(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6153, 20, 7154])).
% 1.01/1.07 tff(7156,plain,
% 1.01/1.07 (m_main_v_state(s31, c_ready)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6181, 155, 7069])).
% 1.01/1.07 tff(7157,plain,
% 1.01/1.07 (~m_main_v_request(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6169, 7156, 7152])).
% 1.01/1.07 tff(7158,plain,
% 1.01/1.07 (~node4(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6160, 20, 7157])).
% 1.01/1.07 tff(7159,plain,
% 1.01/1.07 (m_main_v_state(s29, c_ready)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6283, 155, 7043])).
% 1.01/1.07 tff(7160,plain,
% 1.01/1.07 (~m_main_v_request(s29)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6279, 7159, 7070])).
% 1.01/1.07 tff(7161,plain,
% 1.01/1.07 (~node4(s29)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6270, 20, 7160])).
% 1.01/1.07 tff(7162,plain,
% 1.01/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s26)) | node2(s49, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s26)) | node2(s49, s26))),
% 1.01/1.07 inference(rewrite,[status(thm)],[])).
% 1.01/1.07 tff(7163,plain,
% 1.01/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s26)) | node2(s49, s26))),
% 1.01/1.07 inference(quant_inst,[status(thm)],[])).
% 1.01/1.07 tff(7164,plain,
% 1.01/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s26)) | node2(s49, s26)),
% 1.01/1.07 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 1.01/1.07 tff(7165,plain,
% 1.01/1.07 (node2(s49, s26)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7164, 4763, 7])).
% 1.01/1.07 tff(7166,plain,
% 1.01/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s26, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s26, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s26)))),
% 1.01/1.07 inference(rewrite,[status(thm)],[])).
% 1.01/1.07 tff(7167,plain,
% 1.01/1.07 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s26, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s26)))),
% 1.01/1.07 inference(rewrite,[status(thm)],[])).
% 1.01/1.07 tff(7168,plain,
% 1.01/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s26, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s26))))),
% 1.01/1.07 inference(monotonicity,[status(thm)],[7167])).
% 1.01/1.07 tff(7169,plain,
% 1.01/1.07 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s26, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s26)))),
% 1.01/1.07 inference(transitivity,[status(thm)],[7168, 7166])).
% 1.01/1.07 tff(7170,plain,
% 1.01/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.07 inference(quant_inst,[status(thm)],[])).
% 1.01/1.07 tff(7171,plain,
% 1.01/1.07 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s26, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s26))),
% 1.01/1.07 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 1.01/1.07 tff(7172,plain,
% 1.01/1.07 (~m_main_v_request(s49)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7171, 52, 7049, 5176, 7165])).
% 1.01/1.07 tff(7173,plain,
% 1.01/1.07 (~node4(s49)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[5409, 20, 7172])).
% 1.01/1.07 tff(7174,plain,
% 1.01/1.07 (~until5(s49)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[5581, 7047, 1469, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 582, 579, 7053, 7052, 7173, 7161, 7073, 7158, 7155, 7086, 7098, 7106, 7151, 7148, 7143, 7139, 7135, 7131, 7127, 7123, 583, 575])).
% 1.01/1.07 tff(7175,plain,
% 1.01/1.07 (~xuntil6(s48)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1442, 7174])).
% 1.01/1.07 tff(7176,plain,
% 1.01/1.07 (~until5(s48)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[5584, 7175])).
% 1.01/1.07 tff(7177,plain,
% 1.01/1.07 (~xuntil6(s47)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1425, 7176])).
% 1.01/1.07 tff(7178,plain,
% 1.01/1.07 (~until5(s47)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[5123, 7177])).
% 1.01/1.07 tff(7179,plain,
% 1.01/1.07 (~xuntil6(s46)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1408, 7178])).
% 1.01/1.07 tff(7180,plain,
% 1.01/1.07 (~until5(s46)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1402, 1275, 7179, 7123])).
% 1.01/1.07 tff(7181,plain,
% 1.01/1.07 (~xuntil6(s45)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1391, 7180])).
% 1.01/1.07 tff(7182,plain,
% 1.01/1.07 (xuntil6(s45) | (~until5(s45))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1385, 1275, 7127])).
% 1.01/1.07 tff(7183,plain,
% 1.01/1.07 (~until5(s45)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7182, 7181])).
% 1.01/1.07 tff(7184,plain,
% 1.01/1.07 (~xuntil6(s44)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1374, 7183])).
% 1.01/1.07 tff(7185,plain,
% 1.01/1.07 (xuntil6(s44) | (~until5(s44))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1368, 1275, 7131])).
% 1.01/1.07 tff(7186,plain,
% 1.01/1.07 (~until5(s44)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7185, 7184])).
% 1.01/1.07 tff(7187,plain,
% 1.01/1.07 (~xuntil6(s43)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1357, 7186])).
% 1.01/1.07 tff(7188,plain,
% 1.01/1.07 (xuntil6(s43) | (~until5(s43))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1351, 1275, 7135])).
% 1.01/1.07 tff(7189,plain,
% 1.01/1.07 (~until5(s43)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7188, 7187])).
% 1.01/1.07 tff(7190,plain,
% 1.01/1.07 (~xuntil6(s42)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1343, 7189])).
% 1.01/1.07 tff(7191,plain,
% 1.01/1.07 (xuntil6(s42) | (~until5(s42))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1337, 1275, 7139])).
% 1.01/1.07 tff(7192,plain,
% 1.01/1.07 (~until5(s42)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7191, 7190])).
% 1.01/1.07 tff(7193,plain,
% 1.01/1.07 (~xuntil6(s41)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1326, 7192])).
% 1.01/1.07 tff(7194,plain,
% 1.01/1.07 (xuntil6(s41) | (~until5(s41))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1320, 1275, 7143])).
% 1.01/1.07 tff(7195,plain,
% 1.01/1.07 (~until5(s41)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7194, 7193])).
% 1.01/1.07 tff(7196,plain,
% 1.01/1.07 (~xuntil6(s40)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1309, 7195])).
% 1.01/1.07 tff(7197,plain,
% 1.01/1.07 (~until5(s40)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[4979, 7196])).
% 1.01/1.07 tff(7198,plain,
% 1.01/1.07 (~xuntil6(s39)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1297, 7197])).
% 1.01/1.07 tff(7199,plain,
% 1.01/1.07 (~until5(s39)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[4947, 7198])).
% 1.01/1.07 tff(7200,plain,
% 1.01/1.07 (~xuntil6(s38)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2763, 7199])).
% 1.01/1.07 tff(7201,plain,
% 1.01/1.07 (xuntil6(s38) | (~until5(s38))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2772, 1275, 7148])).
% 1.01/1.07 tff(7202,plain,
% 1.01/1.07 (~until5(s38)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7201, 7200])).
% 1.01/1.07 tff(7203,plain,
% 1.01/1.07 ($false),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2778, 7202, 7110])).
% 1.01/1.07 tff(7204,plain,((~trans(s49, s26)) | (~until5(s22)) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s1) | node4(s0) | (~until5(s25))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.07 tff(7205,plain,
% 1.01/1.07 ((~trans(s49, s26)) | (~until5(s22)) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s1) | node4(s0) | (~until5(s25))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7204, 5960])).
% 1.01/1.07 tff(7206,plain,
% 1.01/1.07 ((~trans(s49, s26)) | (~until5(s22)) | node4(s3) | node4(s4) | node4(s7) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s1) | node4(s0) | (~until5(s25))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7205, 5908, 5885, 5862, 5833, 5937])).
% 1.01/1.07 tff(7207,plain,
% 1.01/1.07 ((~trans(s49, s26)) | (~until5(s22)) | node4(s9) | node4(s10) | node4(s11) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s1) | node4(s0) | (~until5(s25))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7206, 5775, 5688, 5810, 5746, 5723])).
% 1.01/1.07 tff(7208,plain,
% 1.01/1.07 (~trans(s49, s26)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7207, 7038, 576, 580, 581, 585, 578, 1456, 582, 6926, 583, 575, 579])).
% 1.01/1.07 tff(7209,plain,
% 1.01/1.07 (~xuntil2p8(s34)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1671, 7005])).
% 1.01/1.07 tff(7210,plain,
% 1.01/1.07 (~until2p7(s34)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1714, 7209])).
% 1.01/1.07 tff(7211,plain,
% 1.01/1.07 (~xuntil2p8(s33)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1719, 7210])).
% 1.01/1.07 tff(7212,plain,
% 1.01/1.07 (xuntil2p8(s33) | (~until2p7(s33))),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1723, 1502, 6113])).
% 1.01/1.07 tff(7213,plain,
% 1.01/1.07 (~until2p7(s33)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7212, 7211])).
% 1.01/1.07 tff(7214,plain,
% 1.01/1.07 (~xuntil2p8(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1729, 7213])).
% 1.01/1.07 tff(7215,plain,
% 1.01/1.07 (~until2p7(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1733, 1502, 7214, 1448])).
% 1.01/1.07 tff(7216,plain,
% 1.01/1.07 (~trans(s49, s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2048, 7215, 6948])).
% 1.01/1.07 tff(7217,plain,
% 1.01/1.07 (~xuntil2p8(s34)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1671, 2576])).
% 1.01/1.07 tff(7218,plain,
% 1.01/1.07 (~until2p7(s34)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1714, 7217])).
% 1.01/1.07 tff(7219,plain,
% 1.01/1.07 (~xuntil2p8(s33)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1719, 7218])).
% 1.01/1.07 tff(7220,plain,
% 1.01/1.07 (~until2p7(s33)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7212, 7219])).
% 1.01/1.07 tff(7221,plain,
% 1.01/1.07 (~trans(s49, s33)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2530, 7220, 1996])).
% 1.01/1.07 tff(7222,plain,
% 1.01/1.07 (~trans(s49, s34)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2475, 7218, 1996])).
% 1.01/1.07 tff(7223,plain,
% 1.01/1.07 (~trans(s49, s35)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2585, 2576, 1996])).
% 1.01/1.07 tff(7224,plain,
% 1.01/1.07 (~xuntil2p8(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1729, 7220])).
% 1.01/1.07 tff(7225,plain,
% 1.01/1.07 (always3(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[4325, 2434])).
% 1.01/1.07 tff(7226,plain,
% 1.01/1.07 (always3(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[785, 7225])).
% 1.01/1.07 tff(7227,plain,
% 1.01/1.07 (~m_main_v_state(s32, c_busy)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6134, 93, 7226])).
% 1.01/1.07 tff(7228,plain,
% 1.01/1.07 (~m_main_v_state(s31, c_busy)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6177, 93, 7225])).
% 1.01/1.07 tff(7229,plain,
% 1.01/1.07 (m_main_v_state(s31, c_ready)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6181, 155, 7228])).
% 1.01/1.07 tff(7230,plain,
% 1.01/1.07 (~m_main_v_request(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6169, 7229, 7227])).
% 1.01/1.07 tff(7231,plain,
% 1.01/1.07 (~node4(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6160, 20, 7230])).
% 1.01/1.07 tff(7232,plain,
% 1.01/1.07 (until2p7(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[2442, 2434, 1996])).
% 1.01/1.07 tff(7233,plain,
% 1.01/1.07 (node4(s31) | xuntil2p8(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[1743, 1502, 7232])).
% 1.01/1.07 tff(7234,plain,
% 1.01/1.07 (xuntil2p8(s31)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[7233, 7231])).
% 1.01/1.07 tff(7235,plain,
% 1.01/1.07 (always3(s33)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[773, 7226])).
% 1.01/1.07 tff(7236,plain,
% 1.01/1.07 (~m_main_v_state(s33, c_busy)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6107, 93, 7235])).
% 1.01/1.07 tff(7237,plain,
% 1.01/1.07 (m_main_v_state(s32, c_ready)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6140, 155, 7227])).
% 1.01/1.07 tff(7238,plain,
% 1.01/1.07 (~m_main_v_request(s32)),
% 1.01/1.07 inference(unit_resolution,[status(thm)],[6149, 7237, 7236])).
% 1.01/1.08 tff(7239,plain,
% 1.01/1.08 (~node4(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6153, 20, 7238])).
% 1.01/1.08 tff(7240,assumption,(~xuntil2p8(s32)), introduced(assumption)).
% 1.01/1.08 tff(7241,plain,
% 1.01/1.08 (node4(s32) | (~until2p7(s32))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1733, 1502, 7240])).
% 1.01/1.08 tff(7242,plain,
% 1.01/1.08 (~until2p7(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7241, 7239])).
% 1.01/1.08 tff(7243,plain,
% 1.01/1.08 ($false),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1739, 7242, 7234])).
% 1.01/1.08 tff(7244,plain,((~trans(s49, s31)) | xuntil2p8(s32) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.08 tff(7245,plain,
% 1.01/1.08 (~trans(s49, s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7244, 7224, 1996])).
% 1.01/1.08 tff(7246,plain,
% 1.01/1.08 (trans(s49, s30)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6852, 7245, 5153, 5152, 3868, 5151, 5150, 1470, 5148, 5149, 4539, 4538, 5146, 5144, 5143, 5142, 7223, 5140, 7222, 5138, 4160, 4159, 4158, 7221, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3867])).
% 1.01/1.08 tff(7247,plain,
% 1.01/1.08 (always3(s30)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4156, 7246])).
% 1.01/1.08 tff(7248,plain,
% 1.01/1.08 (always3(s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[797, 7247])).
% 1.01/1.08 tff(7249,plain,
% 1.01/1.08 (always3(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[785, 7248])).
% 1.01/1.08 tff(7250,plain,
% 1.01/1.08 (~m_main_v_state(s32, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6134, 93, 7249])).
% 1.01/1.08 tff(7251,plain,
% 1.01/1.08 (~m_main_v_state(s31, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6177, 93, 7248])).
% 1.01/1.08 tff(7252,plain,
% 1.01/1.08 (m_main_v_state(s31, c_ready)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6181, 155, 7251])).
% 1.01/1.08 tff(7253,plain,
% 1.01/1.08 (~m_main_v_request(s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6169, 7252, 7250])).
% 1.01/1.08 tff(7254,plain,
% 1.01/1.08 (~node4(s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6160, 20, 7253])).
% 1.01/1.08 tff(7255,plain,
% 1.01/1.08 (until2p7(s30)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2357, 7246, 1996])).
% 1.01/1.08 tff(7256,plain,
% 1.01/1.08 (xuntil2p8(s30) | (~until2p7(s30))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1753, 1502, 6214])).
% 1.01/1.08 tff(7257,plain,
% 1.01/1.08 (xuntil2p8(s30)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7256, 7255])).
% 1.01/1.08 tff(7258,plain,
% 1.01/1.08 (until2p7(s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1749, 7257])).
% 1.01/1.08 tff(7259,plain,
% 1.01/1.08 (node4(s31) | xuntil2p8(s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1743, 1502, 7258])).
% 1.01/1.08 tff(7260,plain,
% 1.01/1.08 (xuntil2p8(s31)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7259, 7254])).
% 1.01/1.08 tff(7261,plain,
% 1.01/1.08 (always3(s33)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[773, 7249])).
% 1.01/1.08 tff(7262,plain,
% 1.01/1.08 (~m_main_v_state(s33, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6107, 93, 7261])).
% 1.01/1.08 tff(7263,plain,
% 1.01/1.08 (m_main_v_state(s32, c_ready)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6140, 155, 7250])).
% 1.01/1.08 tff(7264,plain,
% 1.01/1.08 (~m_main_v_request(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6149, 7263, 7262])).
% 1.01/1.08 tff(7265,plain,
% 1.01/1.08 (~node4(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6153, 20, 7264])).
% 1.01/1.08 tff(7266,plain,
% 1.01/1.08 (node4(s32) | (~until2p7(s32))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1733, 1502, 7224])).
% 1.01/1.08 tff(7267,plain,
% 1.01/1.08 (~until2p7(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7266, 7265])).
% 1.01/1.08 tff(7268,plain,
% 1.01/1.08 ($false),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1739, 7267, 7260])).
% 1.01/1.08 tff(7269,plain,(until2p7(s35) | (~xuntil6(s49)) | trans(s49, s26) | trans(s49, s41) | trans(s49, s10) | trans(s49, s44) | trans(s49, s43) | (~until5(s49)) | trans(s49, s18) | trans(s49, s19) | trans(s49, s13) | trans(s49, s5) | trans(s49, s37) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s22) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.08 tff(7270,plain,
% 1.01/1.08 (trans(s49, s29)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7269, 7216, 7208, 5152, 6948, 7032, 7031, 6947, 7030, 7029, 7028, 4538, 5146, 7027, 7026, 7025, 7024, 7023, 4160, 7022, 4158, 7021, 7020, 7019, 7016, 7015, 3958, 7014, 7012, 3945, 7011, 3934, 7010, 7009, 7008, 7007, 3892, 7006, 7005, 6968, 6965, 3878, 6949, 3867])).
% 1.01/1.08 tff(7271,plain,
% 1.01/1.08 (always3(s29)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3911, 7270])).
% 1.01/1.08 tff(7272,plain,
% 1.01/1.08 (always3(s30)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[809, 7271])).
% 1.01/1.08 tff(7273,plain,
% 1.01/1.08 (~m_main_v_state(s30, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6208, 93, 7272])).
% 1.01/1.08 tff(7274,plain,
% 1.01/1.08 (~node4(s28)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1183, 67, 6950])).
% 1.01/1.08 tff(7275,plain,
% 1.01/1.08 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s28) | node4(s29) | node4(s31) | node4(s32) | node4(s33) | node4(s36) | node4(s37) | node4(s43) | node4(s44) | (~until5(s49))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6619, 6344, 6078, 6616, 6214, 6533])).
% 1.01/1.08 tff(7276,plain,
% 1.01/1.08 (node4(s49) | node4(s0) | node4(s1) | node4(s2) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s28) | node4(s29) | node4(s31) | node4(s32) | node4(s36) | node4(s43) | node4(s44) | (~until5(s49))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7275, 6373, 5960, 6113, 6998])).
% 1.01/1.08 tff(7277,plain,
% 1.01/1.08 (node4(s49) | node4(s0) | node4(s1) | node4(s3) | node4(s4) | node4(s7) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s28) | node4(s29) | node4(s31) | node4(s32) | node4(s36) | node4(s43) | node4(s44) | (~until5(s49))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7276, 5937, 5833, 5862, 5885, 5908])).
% 1.01/1.08 tff(7278,plain,
% 1.01/1.08 (node4(s49) | node4(s0) | node4(s1) | node4(s9) | node4(s10) | node4(s11) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s28) | node4(s29) | node4(s31) | node4(s32) | node4(s36) | node4(s43) | node4(s44) | (~until5(s49))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7277, 5746, 5723, 5775, 5810, 5688])).
% 1.01/1.08 tff(7279,plain,
% 1.01/1.08 (node4(s29)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7278, 7274, 1448, 1578, 576, 580, 581, 585, 578, 1456, 579, 582, 6947, 584, 1449, 1567, 577, 583, 575])).
% 1.01/1.08 tff(7280,plain,
% 1.01/1.08 (m_main_v_request(s29)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6270, 20, 7279])).
% 1.01/1.08 tff(7281,plain,
% 1.01/1.08 (~m_main_v_state(s29, c_ready)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6279, 7280, 7273])).
% 1.01/1.08 tff(7282,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s29)) | node2(s49, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s29)) | node2(s49, s29))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7283,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s29)) | node2(s49, s29))),
% 1.01/1.08 inference(quant_inst,[status(thm)],[])).
% 1.01/1.08 tff(7284,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s29)) | node2(s49, s29)),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7283, 7282])).
% 1.01/1.08 tff(7285,plain,
% 1.01/1.08 (node2(s49, s29)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7284, 7270, 7])).
% 1.01/1.08 tff(7286,plain,
% 1.01/1.08 (~m_main_v_state(s29, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6261, 93, 7271])).
% 1.01/1.08 tff(7287,plain,
% 1.01/1.08 (^[Y: $i, X: $i] : refl((node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)))),
% 1.01/1.08 inference(bind,[status(th)],[])).
% 1.01/1.08 tff(7288,plain,
% 1.01/1.08 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(quant_intro,[status(thm)],[7287])).
% 1.01/1.08 tff(7289,plain,
% 1.01/1.08 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7290,plain,
% 1.01/1.08 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) <=> (m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy))), (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> ((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)))), rewrite(((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> (node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy))), (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> (node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)))), ((((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> ((node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))))), rewrite(((node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))), ((((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))))),
% 1.01/1.08 inference(bind,[status(th)],[])).
% 1.01/1.08 tff(7291,plain,
% 1.01/1.08 (![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(quant_intro,[status(thm)],[7290])).
% 1.01/1.08 tff(7292,axiom,(![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 1.01/1.08 tff(7293,plain,
% 1.01/1.08 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7292, 7291])).
% 1.01/1.08 tff(7294,plain,
% 1.01/1.08 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7293, 7289])).
% 1.01/1.08 tff(7295,plain,(
% 1.01/1.08 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(skolemize,[status(sab)],[7294])).
% 1.01/1.08 tff(7296,plain,
% 1.01/1.08 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7295, 7288])).
% 1.01/1.08 tff(7297,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready) | node1(s49) | (~node2(s49, s29)))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready) | node1(s49) | (~node2(s49, s29)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7298,plain,
% 1.01/1.08 ((node1(s49) | m_main_v_state(s29, c_ready) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy)) <=> (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready) | node1(s49) | (~node2(s49, s29)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7299,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s49) | m_main_v_state(s29, c_ready) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready) | node1(s49) | (~node2(s49, s29))))),
% 1.01/1.08 inference(monotonicity,[status(thm)],[7298])).
% 1.01/1.08 tff(7300,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s49) | m_main_v_state(s29, c_ready) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready) | node1(s49) | (~node2(s49, s29)))),
% 1.01/1.08 inference(transitivity,[status(thm)],[7299, 7297])).
% 1.01/1.08 tff(7301,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s49) | m_main_v_state(s29, c_ready) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy))),
% 1.01/1.08 inference(quant_inst,[status(thm)],[])).
% 1.01/1.08 tff(7302,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready) | node1(s49) | (~node2(s49, s29))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 1.01/1.08 tff(7303,plain,
% 1.01/1.08 (m_main_v_state(s29, c_ready) | node1(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7302, 7296, 7286, 7285])).
% 1.01/1.08 tff(7304,plain,
% 1.01/1.08 (node1(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7303, 7281])).
% 1.01/1.08 tff(7305,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s29, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s29)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s29, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s29)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7306,plain,
% 1.01/1.08 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s29, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s29)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7307,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s29, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s29))))),
% 1.01/1.08 inference(monotonicity,[status(thm)],[7306])).
% 1.01/1.08 tff(7308,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s29, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s29)))),
% 1.01/1.08 inference(transitivity,[status(thm)],[7307, 7305])).
% 1.01/1.08 tff(7309,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.08 inference(quant_inst,[status(thm)],[])).
% 1.01/1.08 tff(7310,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s29, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s29))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 1.01/1.08 tff(7311,plain,
% 1.01/1.08 (~m_main_v_request(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7310, 52, 7286, 5176, 7285])).
% 1.01/1.08 tff(7312,plain,
% 1.01/1.08 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 1.01/1.08 inference(bind,[status(th)],[])).
% 1.01/1.08 tff(7313,plain,
% 1.01/1.08 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.01/1.08 inference(quant_intro,[status(thm)],[7312])).
% 1.01/1.08 tff(7314,plain,
% 1.01/1.08 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7315,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_5')).
% 1.01/1.08 tff(7316,plain,
% 1.01/1.08 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7315, 7314])).
% 1.01/1.08 tff(7317,plain,(
% 1.01/1.08 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.01/1.08 inference(skolemize,[status(sab)],[7316])).
% 1.01/1.08 tff(7318,plain,
% 1.01/1.08 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7317, 7313])).
% 1.01/1.08 tff(7319,plain,
% 1.01/1.08 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s49) | (~node1(s49)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s49) | (~node1(s49)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7320,plain,
% 1.01/1.08 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s49) | (~node1(s49)))),
% 1.01/1.08 inference(quant_inst,[status(thm)],[])).
% 1.01/1.08 tff(7321,plain,
% 1.01/1.08 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s49) | (~node1(s49))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 1.01/1.08 tff(7322,plain,
% 1.01/1.08 ($false),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7321, 7318, 7311, 7304])).
% 1.01/1.08 tff(7323,plain,(node4(s44) | trans(s49, s41) | trans(s49, s5) | trans(s49, s37) | trans(s49, s4) | trans(s49, s2) | trans(s49, s6) | trans(s49, s1) | trans(s49, s3) | trans(s49, s7) | trans(s49, s8) | trans(s49, s0) | node4(s32) | node4(s36) | node4(s43) | node4(s9) | node4(s10) | node4(s11) | node4(s17) | node4(s18) | node4(s20) | node4(s24) | node4(s21) | node4(s49) | node4(s31) | node4(s1) | node4(s0)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.08 tff(7324,plain,
% 1.01/1.08 (node4(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7323, 6869, 5653, 634, 6742, 6740, 6733, 6730, 6728, 6723, 6718, 6717, 6750, 6716, 6759, 6868, 6867, 6866, 585, 6865, 6864, 6863, 6862, 6861, 6860, 6859, 6858])).
% 1.01/1.08 tff(7325,plain,
% 1.01/1.08 (m_main_v_request(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6829, 7324])).
% 1.01/1.08 tff(7326,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s45, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s45)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s45, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s45)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7327,plain,
% 1.01/1.08 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s45, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s45)))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.08 tff(7328,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s45, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s45))))),
% 1.01/1.08 inference(monotonicity,[status(thm)],[7327])).
% 1.01/1.08 tff(7329,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s45, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s45)))),
% 1.01/1.08 inference(transitivity,[status(thm)],[7328, 7326])).
% 1.01/1.08 tff(7330,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.08 inference(quant_inst,[status(thm)],[])).
% 1.01/1.08 tff(7331,plain,
% 1.01/1.08 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s45, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s45))),
% 1.01/1.08 inference(modus_ponens,[status(thm)],[7330, 7329])).
% 1.01/1.08 tff(7332,plain,
% 1.01/1.08 ($false),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7331, 52, 5636, 5176, 7325, 6857])).
% 1.01/1.08 tff(7333,plain,(always3(s44) | node4(s17)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.08 tff(7334,plain,
% 1.01/1.08 (always3(s44)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7333, 585])).
% 1.01/1.08 tff(7335,plain,
% 1.01/1.08 (xuntil6(s2)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6872, 5965])).
% 1.01/1.08 tff(7336,plain,
% 1.01/1.08 (until5(s3)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3037, 7335])).
% 1.01/1.08 tff(7337,plain,
% 1.01/1.08 (xuntil6(s3)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6875, 7336])).
% 1.01/1.08 tff(7338,plain,
% 1.01/1.08 (until5(s4)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3051, 7337])).
% 1.01/1.08 tff(7339,plain,
% 1.01/1.08 (xuntil6(s4)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6878, 7338])).
% 1.01/1.08 tff(7340,plain,
% 1.01/1.08 (until5(s5)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3065, 7339])).
% 1.01/1.08 tff(7341,plain,
% 1.01/1.08 (xuntil6(s5)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6881, 7340])).
% 1.01/1.08 tff(7342,plain,
% 1.01/1.08 (until5(s6)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3079, 7341])).
% 1.01/1.08 tff(7343,plain,
% 1.01/1.08 (xuntil6(s6)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6884, 7342])).
% 1.01/1.08 tff(7344,plain,
% 1.01/1.08 (until5(s7)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3093, 7343])).
% 1.01/1.08 tff(7345,plain,
% 1.01/1.08 (xuntil6(s7)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6887, 7344])).
% 1.01/1.08 tff(7346,plain,
% 1.01/1.08 (until5(s8)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3107, 7345])).
% 1.01/1.08 tff(7347,plain,
% 1.01/1.08 (xuntil6(s8)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6890, 7346])).
% 1.01/1.08 tff(7348,plain,
% 1.01/1.08 (until5(s9)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3121, 7347])).
% 1.01/1.08 tff(7349,plain,
% 1.01/1.08 (xuntil6(s9)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3129, 1275, 7348, 576])).
% 1.01/1.08 tff(7350,plain,
% 1.01/1.08 (until5(s10)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3135, 7349])).
% 1.01/1.08 tff(7351,plain,
% 1.01/1.08 (xuntil6(s10)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3143, 1275, 7350, 580])).
% 1.01/1.08 tff(7352,plain,
% 1.01/1.08 (until5(s11)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3149, 7351])).
% 1.01/1.08 tff(7353,plain,
% 1.01/1.08 (xuntil6(s11) | node4(s11)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3157, 1275, 7352])).
% 1.01/1.08 tff(7354,plain,
% 1.01/1.08 (xuntil6(s11)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7353, 581])).
% 1.01/1.08 tff(7355,plain,
% 1.01/1.08 (until5(s12)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3163, 7354])).
% 1.01/1.08 tff(7356,plain,
% 1.01/1.08 (xuntil6(s12)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[5987, 7355])).
% 1.01/1.08 tff(7357,plain,
% 1.01/1.08 (until5(s13)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3177, 7356])).
% 1.01/1.08 tff(7358,plain,
% 1.01/1.08 (xuntil6(s13)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6903, 7357])).
% 1.01/1.08 tff(7359,plain,
% 1.01/1.08 (until5(s14)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3191, 7358])).
% 1.01/1.08 tff(7360,plain,
% 1.01/1.08 (xuntil6(s14)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6906, 7359])).
% 1.01/1.08 tff(7361,plain,
% 1.01/1.08 (until5(s15)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3205, 7360])).
% 1.01/1.08 tff(7362,plain,
% 1.01/1.08 (xuntil6(s15)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6909, 7361])).
% 1.01/1.08 tff(7363,plain,
% 1.01/1.08 (until5(s16)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3219, 7362])).
% 1.01/1.08 tff(7364,plain,
% 1.01/1.08 (xuntil6(s16)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6912, 7363])).
% 1.01/1.08 tff(7365,plain,
% 1.01/1.08 (until5(s17)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3233, 7364])).
% 1.01/1.08 tff(7366,plain,
% 1.01/1.08 (xuntil6(s17)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3241, 1275, 7365, 585])).
% 1.01/1.08 tff(7367,plain,
% 1.01/1.08 (until5(s18)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3247, 7366])).
% 1.01/1.08 tff(7368,plain,
% 1.01/1.08 (xuntil6(s18) | node4(s18)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3255, 1275, 7367])).
% 1.01/1.08 tff(7369,plain,
% 1.01/1.08 (xuntil6(s18)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7368, 578])).
% 1.01/1.08 tff(7370,plain,
% 1.01/1.08 (until5(s19)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3261, 7369])).
% 1.01/1.08 tff(7371,plain,
% 1.01/1.08 (xuntil6(s19)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4808, 7370])).
% 1.01/1.08 tff(7372,plain,
% 1.01/1.08 (until5(s20)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3275, 7371])).
% 1.01/1.08 tff(7373,plain,
% 1.01/1.08 (xuntil6(s20) | node4(s20)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3283, 1275, 7372])).
% 1.01/1.08 tff(7374,plain,
% 1.01/1.08 (xuntil6(s20)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7373, 1456])).
% 1.01/1.08 tff(7375,plain,
% 1.01/1.08 (until5(s21)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3289, 7374])).
% 1.01/1.08 tff(7376,plain,
% 1.01/1.08 (xuntil6(s21)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6018, 7375])).
% 1.01/1.08 tff(7377,plain,
% 1.01/1.08 (until5(s22)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3303, 7376])).
% 1.01/1.08 tff(7378,plain,
% 1.01/1.08 (xuntil6(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6508, 7377, 577])).
% 1.01/1.08 tff(7379,plain,
% 1.01/1.08 (until5(s38)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2778, 7378])).
% 1.01/1.08 tff(7380,plain,
% 1.01/1.08 (xuntil6(s38)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6534, 7379])).
% 1.01/1.08 tff(7381,plain,
% 1.01/1.08 (until5(s39)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2763, 7380])).
% 1.01/1.08 tff(7382,plain,
% 1.01/1.08 (xuntil6(s39)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4947, 7381])).
% 1.01/1.08 tff(7383,plain,
% 1.01/1.08 (until5(s40)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1297, 7382])).
% 1.01/1.08 tff(7384,plain,
% 1.01/1.08 (xuntil6(s40)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4979, 7383])).
% 1.01/1.08 tff(7385,plain,
% 1.01/1.08 (until5(s41)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1309, 7384])).
% 1.01/1.08 tff(7386,plain,
% 1.01/1.08 (xuntil6(s41)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[5011, 7385])).
% 1.01/1.08 tff(7387,plain,
% 1.01/1.08 (until5(s42)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1326, 7386])).
% 1.01/1.08 tff(7388,plain,
% 1.01/1.08 (xuntil6(s42)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6566, 7387])).
% 1.01/1.08 tff(7389,plain,
% 1.01/1.08 (until5(s43)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1343, 7388])).
% 1.01/1.08 tff(7390,plain,
% 1.01/1.08 (xuntil6(s46)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6815, 7389, 7334])).
% 1.01/1.08 tff(7391,plain,
% 1.01/1.08 (until5(s47)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1408, 7390])).
% 1.01/1.08 tff(7392,plain,
% 1.01/1.08 (xuntil6(s47)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[5123, 7391])).
% 1.01/1.08 tff(7393,plain,
% 1.01/1.08 (until5(s48)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1425, 7392])).
% 1.01/1.08 tff(7394,plain,
% 1.01/1.08 (xuntil6(s48)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[5584, 7393])).
% 1.01/1.08 tff(7395,plain,
% 1.01/1.08 (until5(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1442, 7394])).
% 1.01/1.08 tff(7396,plain,
% 1.01/1.08 (xuntil6(s49)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6850, 7395, 584])).
% 1.01/1.08 tff(7397,plain,
% 1.01/1.08 (~trans(s49, s45)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2131, 7396, 6671])).
% 1.01/1.08 tff(7398,plain,
% 1.01/1.08 (~trans(s49, s8)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3697, 6653])).
% 1.01/1.08 tff(7399,plain,
% 1.01/1.08 (~trans(s49, s14)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3707, 6647])).
% 1.01/1.08 tff(7400,plain,
% 1.01/1.08 (~trans(s49, s12)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3717, 6649])).
% 1.01/1.08 tff(7401,plain,
% 1.01/1.08 (~trans(s49, s16)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3727, 6645])).
% 1.01/1.08 tff(7402,plain,
% 1.01/1.08 (~trans(s49, s7)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3737, 6654])).
% 1.01/1.08 tff(7403,plain,
% 1.01/1.08 (~trans(s49, s25)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3901, 6636])).
% 1.01/1.08 tff(7404,plain,
% 1.01/1.08 (xuntil2p8(s44) | (~until2p7(s44))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1570, 1502, 5653])).
% 1.01/1.08 tff(7405,plain,
% 1.01/1.08 (~until2p7(s44)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7404, 6969])).
% 1.01/1.08 tff(7406,plain,
% 1.01/1.08 (~xuntil2p8(s43)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1576, 7405])).
% 1.01/1.08 tff(7407,plain,
% 1.01/1.08 (xuntil2p8(s43) | (~until2p7(s43))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1581, 1502, 634])).
% 1.01/1.08 tff(7408,plain,
% 1.01/1.08 (~until2p7(s43)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7407, 7406])).
% 1.01/1.08 tff(7409,plain,
% 1.01/1.08 (~xuntil2p8(s42)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1587, 7408])).
% 1.01/1.08 tff(7410,plain,
% 1.01/1.08 (~until2p7(s42)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6975, 7409])).
% 1.01/1.08 tff(7411,plain,
% 1.01/1.08 (~xuntil2p8(s41)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1598, 7410])).
% 1.01/1.08 tff(7412,plain,
% 1.01/1.08 (~until2p7(s41)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6978, 7411])).
% 1.01/1.08 tff(7413,plain,
% 1.01/1.08 (~xuntil2p8(s40)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1609, 7412])).
% 1.01/1.08 tff(7414,plain,
% 1.01/1.08 (~until2p7(s40)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6981, 7413])).
% 1.01/1.08 tff(7415,plain,
% 1.01/1.08 (~xuntil2p8(s39)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1620, 7414])).
% 1.01/1.08 tff(7416,plain,
% 1.01/1.08 (~until2p7(s39)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6984, 7415])).
% 1.01/1.08 tff(7417,plain,
% 1.01/1.08 (~xuntil2p8(s38)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1631, 7416])).
% 1.01/1.08 tff(7418,plain,
% 1.01/1.08 (~until2p7(s38)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6987, 7417])).
% 1.01/1.08 tff(7419,plain,
% 1.01/1.08 (~xuntil2p8(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1641, 7418])).
% 1.01/1.08 tff(7420,plain,
% 1.01/1.08 (~until2p7(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6999, 7419])).
% 1.01/1.08 tff(7421,plain,
% 1.01/1.08 (~xuntil2p8(s36)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1651, 7420])).
% 1.01/1.08 tff(7422,plain,
% 1.01/1.08 (~until2p7(s36)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1655, 1502, 7421, 577])).
% 1.01/1.08 tff(7423,plain,
% 1.01/1.08 (~trans(s49, s36)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2175, 7396, 7422])).
% 1.01/1.08 tff(7424,plain,
% 1.01/1.08 (~trans(s49, s38)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2335, 7396, 7418])).
% 1.01/1.08 tff(7425,plain,
% 1.01/1.08 (~trans(s49, s42)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2519, 7396, 7410])).
% 1.01/1.08 tff(7426,plain,
% 1.01/1.08 (~trans(s49, s3)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3747, 6658])).
% 1.01/1.08 tff(7427,plain,
% 1.01/1.08 (~trans(s49, s17)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3943, 6644])).
% 1.01/1.08 tff(7428,plain,
% 1.01/1.08 (~always3(s1)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[223, 6659])).
% 1.01/1.08 tff(7429,plain,
% 1.01/1.08 (~trans(s49, s1)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3758, 7428])).
% 1.01/1.08 tff(7430,plain,
% 1.01/1.08 (~trans(s49, s23)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3955, 6638])).
% 1.01/1.08 tff(7431,plain,
% 1.01/1.08 (~trans(s49, s11)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3769, 6650])).
% 1.01/1.08 tff(7432,plain,
% 1.01/1.08 (~trans(s49, s6)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3780, 6655])).
% 1.01/1.08 tff(7433,plain,
% 1.01/1.08 (~trans(s49, s24)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3968, 6637])).
% 1.01/1.08 tff(7434,plain,
% 1.01/1.08 (~trans(s49, s20)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3979, 6641])).
% 1.01/1.08 tff(7435,plain,
% 1.01/1.08 (~trans(s49, s9)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3791, 6652])).
% 1.01/1.08 tff(7436,plain,
% 1.01/1.08 (~trans(s49, s39)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2431, 7396, 7416])).
% 1.01/1.08 tff(7437,plain,
% 1.01/1.08 (~trans(s49, s21)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4145, 6640])).
% 1.01/1.08 tff(7438,plain,
% 1.01/1.08 (~trans(s49, s4)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3814, 6657])).
% 1.01/1.08 tff(7439,plain,
% 1.01/1.08 (~trans(s49, s15)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3863, 6646])).
% 1.01/1.08 tff(7440,plain,
% 1.01/1.08 (~xuntil2p8(s35)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1661, 7422])).
% 1.01/1.08 tff(7441,plain,
% 1.01/1.08 (~until2p7(s35)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7004, 7440])).
% 1.01/1.08 tff(7442,plain,
% 1.01/1.08 (~xuntil2p8(s34)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1671, 7441])).
% 1.01/1.08 tff(7443,plain,
% 1.01/1.08 (~until2p7(s34)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1714, 7442])).
% 1.01/1.08 tff(7444,plain,
% 1.01/1.08 (~xuntil2p8(s33)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1719, 7443])).
% 1.01/1.08 tff(7445,plain,
% 1.01/1.08 (~until2p7(s33)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7212, 7444])).
% 1.01/1.08 tff(7446,plain,
% 1.01/1.08 (~xuntil2p8(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1729, 7445])).
% 1.01/1.08 tff(7447,assumption,(node4(s32)), introduced(assumption)).
% 1.01/1.08 tff(7448,plain,
% 1.01/1.08 (m_main_v_request(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6153, 20, 7447])).
% 1.01/1.08 tff(7449,plain,
% 1.01/1.08 (always3(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1167, 67, 7447])).
% 1.01/1.08 tff(7450,plain,
% 1.01/1.08 (always3(s33)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[773, 7449])).
% 1.01/1.08 tff(7451,plain,
% 1.01/1.08 (~m_main_v_state(s33, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6107, 93, 7450])).
% 1.01/1.08 tff(7452,plain,
% 1.01/1.08 (~m_main_v_state(s32, c_ready)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6149, 7451, 7448])).
% 1.01/1.08 tff(7453,plain,
% 1.01/1.08 (~m_main_v_state(s32, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6134, 93, 7449])).
% 1.01/1.08 tff(7454,plain,
% 1.01/1.08 ($false),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6140, 155, 7453, 7452])).
% 1.01/1.08 tff(7455,plain,(~node4(s32)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.08 tff(7456,plain,
% 1.01/1.08 (xuntil2p8(s32) | (~until2p7(s32))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1733, 1502, 7455])).
% 1.01/1.08 tff(7457,plain,
% 1.01/1.08 (~until2p7(s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7456, 7446])).
% 1.01/1.08 tff(7458,plain,
% 1.01/1.08 (~trans(s49, s32)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2048, 7396, 7457])).
% 1.01/1.08 tff(7459,plain,
% 1.01/1.08 (~trans(s49, s40)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2497, 7396, 7414])).
% 1.01/1.08 tff(7460,plain,
% 1.01/1.08 (~trans(s49, s22)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4336, 6639])).
% 1.01/1.08 tff(7461,plain,
% 1.01/1.08 (~trans(s49, s27)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4358, 6634])).
% 1.01/1.08 tff(7462,plain,
% 1.01/1.08 (~trans(s49, s43)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2258, 7396, 7408])).
% 1.01/1.08 tff(7463,plain,
% 1.01/1.08 (~trans(s49, s28)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4525, 6633])).
% 1.01/1.08 tff(7464,plain,
% 1.01/1.08 (always3(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4548, 2621])).
% 1.01/1.08 tff(7465,plain,
% 1.01/1.08 (always3(s38)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[724, 7464])).
% 1.01/1.08 tff(7466,plain,
% 1.01/1.08 (~m_main_v_state(s38, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6028, 93, 7465])).
% 1.01/1.08 tff(7467,plain,
% 1.01/1.08 (until2p7(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2629, 2621, 1996])).
% 1.01/1.08 tff(7468,assumption,(~xuntil2p8(s37)), introduced(assumption)).
% 1.01/1.08 tff(7469,plain,
% 1.01/1.08 (node4(s37) | (~until2p7(s37))),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[1645, 1502, 7468])).
% 1.01/1.08 tff(7470,plain,
% 1.01/1.08 (node4(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7469, 7467])).
% 1.01/1.08 tff(7471,plain,
% 1.01/1.08 (m_main_v_request(s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6035, 20, 7470])).
% 1.01/1.08 tff(7472,plain,
% 1.01/1.08 (~m_main_v_state(s37, c_ready)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6044, 7471, 7466])).
% 1.01/1.08 tff(7473,plain,
% 1.01/1.08 (~m_main_v_state(s37, c_busy)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[273, 93, 7464])).
% 1.01/1.08 tff(7474,plain,
% 1.01/1.08 ($false),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[6049, 155, 7473, 7472])).
% 1.01/1.08 tff(7475,plain,((~trans(s49, s37)) | xuntil2p8(s37) | (~xuntil6(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.08 tff(7476,plain,
% 1.01/1.08 (~trans(s49, s37)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[7475, 7396, 7419])).
% 1.01/1.08 tff(7477,plain,
% 1.01/1.08 (~trans(s49, s5)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3825, 6656])).
% 1.01/1.08 tff(7478,plain,
% 1.01/1.08 (~trans(s49, s13)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3836, 6648])).
% 1.01/1.08 tff(7479,plain,
% 1.01/1.08 (~trans(s49, s19)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4581, 6642])).
% 1.01/1.08 tff(7480,plain,
% 1.01/1.08 (~trans(s49, s18)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4570, 6643])).
% 1.01/1.08 tff(7481,plain,
% 1.01/1.08 (~trans(s49, s10)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[3687, 6651])).
% 1.01/1.08 tff(7482,plain,
% 1.01/1.08 (~trans(s49, s26)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[4772, 6635])).
% 1.01/1.08 tff(7483,plain,
% 1.01/1.08 (~trans(s49, s44)),
% 1.01/1.08 inference(unit_resolution,[status(thm)],[2607, 7396, 7405])).
% 1.01/1.08 tff(7484,plain,
% 1.01/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s41)) | node2(s49, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s41)) | node2(s49, s41))),
% 1.01/1.08 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7485,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s41)) | node2(s49, s41))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7486,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s41)) | node2(s49, s41)),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 1.01/1.09 tff(7487,plain,
% 1.01/1.09 (node2(s49, s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7486, 2643, 7])).
% 1.01/1.09 tff(7488,plain,
% 1.01/1.09 (always3(s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[4760, 2643])).
% 1.01/1.09 tff(7489,plain,
% 1.01/1.09 (~m_main_v_state(s41, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[4962, 93, 7488])).
% 1.01/1.09 tff(7490,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s41, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s41)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s41, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s41)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7491,plain,
% 1.01/1.09 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s41, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s41)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7492,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s41, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s41))))),
% 1.01/1.09 inference(monotonicity,[status(thm)],[7491])).
% 1.01/1.09 tff(7493,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s41, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s41)))),
% 1.01/1.09 inference(transitivity,[status(thm)],[7492, 7490])).
% 1.01/1.09 tff(7494,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7495,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s41, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s41))),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7494, 7493])).
% 1.01/1.09 tff(7496,plain,
% 1.01/1.09 (~m_main_v_request(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7495, 52, 7489, 5176, 7487])).
% 1.01/1.09 tff(7497,plain,
% 1.01/1.09 (~node4(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6829, 7496])).
% 1.01/1.09 tff(7498,plain,
% 1.01/1.09 (~until2p7(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1506, 7497])).
% 1.01/1.09 tff(7499,plain,
% 1.01/1.09 (~xuntil2p8(s48)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1521, 7498])).
% 1.01/1.09 tff(7500,plain,
% 1.01/1.09 (~until2p7(s48)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6661, 7499])).
% 1.01/1.09 tff(7501,plain,
% 1.01/1.09 (~xuntil2p8(s47)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1532, 7500])).
% 1.01/1.09 tff(7502,plain,
% 1.01/1.09 (~until2p7(s47)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6664, 7501])).
% 1.01/1.09 tff(7503,plain,
% 1.01/1.09 (~xuntil2p8(s46)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1543, 7502])).
% 1.01/1.09 tff(7504,plain,
% 1.01/1.09 (~until2p7(s46)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6667, 7503])).
% 1.01/1.09 tff(7505,plain,
% 1.01/1.09 (~xuntil2p8(s45)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1554, 7504])).
% 1.01/1.09 tff(7506,plain,
% 1.01/1.09 (~until2p7(s45)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6670, 7505])).
% 1.01/1.09 tff(7507,plain,
% 1.01/1.09 (xuntil6(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6850, 7497, 1470])).
% 1.01/1.09 tff(7508,plain,
% 1.01/1.09 (until2p7(s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[2651, 7507, 2643])).
% 1.01/1.09 tff(7509,plain,
% 1.01/1.09 (xuntil2p8(s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6978, 7508])).
% 1.01/1.09 tff(7510,plain,
% 1.01/1.09 (until2p7(s42)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1598, 7509])).
% 1.01/1.09 tff(7511,plain,
% 1.01/1.09 (xuntil2p8(s42)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6975, 7510])).
% 1.01/1.09 tff(7512,plain,
% 1.01/1.09 (until2p7(s43)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1587, 7511])).
% 1.01/1.09 tff(7513,plain,
% 1.01/1.09 (xuntil2p8(s43)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1582, 7512])).
% 1.01/1.09 tff(7514,plain,
% 1.01/1.09 (until2p7(s44)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1576, 7513])).
% 1.01/1.09 tff(7515,plain,
% 1.01/1.09 (xuntil2p8(s44)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1571, 7514])).
% 1.01/1.09 tff(7516,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1565, 7515, 7506])).
% 1.01/1.09 tff(7517,plain,((~trans(s49, s41)) | node4(s44) | node4(s43) | (~until5(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7518,plain,
% 1.01/1.09 (~trans(s49, s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7517, 7395, 5653, 634])).
% 1.01/1.09 tff(7519,plain,
% 1.01/1.09 (~always3(s0)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[85, 7428])).
% 1.01/1.09 tff(7520,plain,
% 1.01/1.09 (~trans(s49, s0)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3676, 7519])).
% 1.01/1.09 tff(7521,plain,
% 1.01/1.09 (trans(s49, s29)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7269, 7520, 7441, 7518, 7396, 7483, 7482, 7481, 7480, 7479, 7478, 7477, 7476, 7463, 7462, 7461, 7460, 7459, 7458, 7439, 7438, 7437, 7436, 7435, 7434, 7433, 7432, 7431, 7430, 7429, 7427, 7426, 7425, 7424, 7423, 7403, 7402, 7401, 7395, 7400, 7399, 7398, 7397, 6660])).
% 1.01/1.09 tff(7522,plain,
% 1.01/1.09 (always3(s29)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3911, 7521])).
% 1.01/1.09 tff(7523,plain,
% 1.01/1.09 (always3(s30)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[809, 7522])).
% 1.01/1.09 tff(7524,plain,
% 1.01/1.09 (always3(s31)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[797, 7523])).
% 1.01/1.09 tff(7525,plain,
% 1.01/1.09 (always3(s32)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[785, 7524])).
% 1.01/1.09 tff(7526,plain,
% 1.01/1.09 (~m_main_v_state(s32, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6134, 93, 7525])).
% 1.01/1.09 tff(7527,plain,
% 1.01/1.09 (node4(s31)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7323, 7520, 5653, 634, 7455, 584, 7432, 7438, 7477, 7402, 7398, 6660, 7476, 7426, 7518, 576, 580, 581, 585, 578, 1456, 579, 582, 577, 7429, 583, 575])).
% 1.01/1.09 tff(7528,plain,
% 1.01/1.09 (m_main_v_request(s31)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6160, 20, 7527])).
% 1.01/1.09 tff(7529,plain,
% 1.01/1.09 (~m_main_v_state(s31, c_ready)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6169, 7528, 7526])).
% 1.01/1.09 tff(7530,plain,
% 1.01/1.09 (~m_main_v_state(s31, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6177, 93, 7524])).
% 1.01/1.09 tff(7531,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6181, 155, 7530, 7529])).
% 1.01/1.09 tff(7532,plain,(node4(s20) | node4(s49) | node4(s9) | node4(s10) | node4(s11) | node4(s17) | node4(s18) | node4(s24) | node4(s21) | node4(s36) | node4(s1) | node4(s0)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7533,plain,
% 1.01/1.09 (node4(s49) | node4(s9) | node4(s10) | node4(s17) | node4(s21) | node4(s36) | node4(s1) | node4(s0)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7532, 574, 531, 482, 439])).
% 1.01/1.09 tff(7534,plain,
% 1.01/1.09 (node4(s49) | node4(s9) | node4(s10) | node4(s17) | node4(s36) | node4(s1) | node4(s0)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7533, 396])).
% 1.01/1.09 tff(7535,plain,
% 1.01/1.09 (node4(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7534, 347, 295, 246, 203, 160, 101])).
% 1.01/1.09 tff(7536,plain,
% 1.01/1.09 (m_main_v_request(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6829, 7535])).
% 1.01/1.09 tff(7537,plain,
% 1.01/1.09 (always3(s3)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3747, 8])).
% 1.01/1.09 tff(7538,plain,
% 1.01/1.09 (~m_main_v_state(s3, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5769, 93, 7537])).
% 1.01/1.09 tff(7539,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s3, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s3, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s3)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7540,plain,
% 1.01/1.09 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s3, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s3)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7541,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s3, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s3))))),
% 1.01/1.09 inference(monotonicity,[status(thm)],[7540])).
% 1.01/1.09 tff(7542,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s3, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s3)))),
% 1.01/1.09 inference(transitivity,[status(thm)],[7541, 7539])).
% 1.01/1.09 tff(7543,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7544,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s3, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s3))),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7543, 7542])).
% 1.01/1.09 tff(7545,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7544, 52, 7538, 5176, 7536, 12])).
% 1.01/1.09 tff(7546,plain,(~trans(s49, s3)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7547,assumption,(node2(s49, s11)), introduced(assumption)).
% 1.01/1.09 tff(7548,plain,
% 1.01/1.09 (~always3(s10)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[121, 3760])).
% 1.01/1.09 tff(7549,plain,
% 1.01/1.09 (~trans(s49, s10)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3687, 7548])).
% 1.01/1.09 tff(7550,plain,
% 1.01/1.09 (~always3(s9)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[180, 7548])).
% 1.01/1.09 tff(7551,plain,
% 1.01/1.09 (~always3(s8)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[973, 7550])).
% 1.01/1.09 tff(7552,plain,
% 1.01/1.09 (~always3(s7)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[985, 7551])).
% 1.01/1.09 tff(7553,plain,
% 1.01/1.09 (~always3(s6)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[997, 7552])).
% 1.01/1.09 tff(7554,plain,
% 1.01/1.09 (~always3(s5)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1009, 7553])).
% 1.01/1.09 tff(7555,plain,
% 1.01/1.09 (~always3(s4)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1021, 7554])).
% 1.01/1.09 tff(7556,plain,
% 1.01/1.09 (~always3(s3)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1033, 7555])).
% 1.01/1.09 tff(7557,plain,
% 1.01/1.09 (~always3(s2)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1045, 7556])).
% 1.01/1.09 tff(7558,plain,
% 1.01/1.09 (~trans(s49, s2)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3802, 7557])).
% 1.01/1.09 tff(7559,plain,
% 1.01/1.09 (~trans(s49, s4)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3814, 7555])).
% 1.01/1.09 tff(7560,plain,
% 1.01/1.09 (~trans(s49, s8)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3697, 7551])).
% 1.01/1.09 tff(7561,plain,
% 1.01/1.09 (~trans(s49, s7)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3737, 7552])).
% 1.01/1.09 tff(7562,plain,
% 1.01/1.09 (~trans(s49, s3)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3747, 7556])).
% 1.01/1.09 tff(7563,plain,
% 1.01/1.09 (~trans(s49, s5)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3825, 7554])).
% 1.01/1.09 tff(7564,plain,
% 1.01/1.09 (~trans(s49, s11)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3769, 3760])).
% 1.01/1.09 tff(7565,plain,
% 1.01/1.09 (~trans(s49, s6)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3780, 7553])).
% 1.01/1.09 tff(7566,plain,
% 1.01/1.09 (~trans(s49, s9)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3791, 7550])).
% 1.01/1.09 tff(7567,plain,
% 1.01/1.09 (~always3(s1)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[223, 7557])).
% 1.01/1.09 tff(7568,plain,
% 1.01/1.09 (~trans(s49, s1)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3758, 7567])).
% 1.01/1.09 tff(7569,plain,
% 1.01/1.09 (~always3(s0)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[85, 7567])).
% 1.01/1.09 tff(7570,plain,
% 1.01/1.09 (~trans(s49, s0)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3676, 7569])).
% 1.01/1.09 tff(7571,plain,
% 1.01/1.09 (node4(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7533, 582, 585, 580, 583, 577, 576, 575])).
% 1.01/1.09 tff(7572,plain,
% 1.01/1.09 (m_main_v_request(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6829, 7571])).
% 1.01/1.09 tff(7573,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s16)) | node2(s49, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s16)) | node2(s49, s16))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7574,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s16)) | node2(s49, s16))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7575,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s16)) | node2(s49, s16)),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7574, 7573])).
% 1.01/1.09 tff(7576,plain,
% 1.01/1.09 (node2(s49, s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7575, 2051, 7])).
% 1.01/1.09 tff(7577,plain,
% 1.01/1.09 (always3(s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3727, 2051])).
% 1.01/1.09 tff(7578,plain,
% 1.01/1.09 (~m_main_v_state(s16, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5931, 93, 7577])).
% 1.01/1.09 tff(7579,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s16, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s16)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s16, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s16)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7580,plain,
% 1.01/1.09 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s16, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s16)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7581,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s16, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s16))))),
% 1.01/1.09 inference(monotonicity,[status(thm)],[7580])).
% 1.01/1.09 tff(7582,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s16, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s16)))),
% 1.01/1.09 inference(transitivity,[status(thm)],[7581, 7579])).
% 1.01/1.09 tff(7583,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7584,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s16, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s16))),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 1.01/1.09 tff(7585,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7584, 52, 7578, 5176, 5164, 7576])).
% 1.01/1.09 tff(7586,plain,((~trans(s49, s16)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7587,plain,
% 1.01/1.09 (~trans(s49, s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7586, 7572])).
% 1.01/1.09 tff(7588,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s15)) | node2(s49, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s15)) | node2(s49, s15))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7589,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s15)) | node2(s49, s15))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7590,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s15)) | node2(s49, s15)),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7589, 7588])).
% 1.01/1.09 tff(7591,plain,
% 1.01/1.09 (node2(s49, s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7590, 2401, 7])).
% 1.01/1.09 tff(7592,plain,
% 1.01/1.09 (always3(s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3863, 2401])).
% 1.01/1.09 tff(7593,plain,
% 1.01/1.09 (~m_main_v_state(s15, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5701, 93, 7592])).
% 1.01/1.09 tff(7594,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s15, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s15, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s15)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7595,plain,
% 1.01/1.09 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s15, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s15)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7596,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s15, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s15))))),
% 1.01/1.09 inference(monotonicity,[status(thm)],[7595])).
% 1.01/1.09 tff(7597,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s15, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s15)))),
% 1.01/1.09 inference(transitivity,[status(thm)],[7596, 7594])).
% 1.01/1.09 tff(7598,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7599,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s15, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s15))),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7598, 7597])).
% 1.01/1.09 tff(7600,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7599, 52, 7593, 5176, 5164, 7591])).
% 1.01/1.09 tff(7601,plain,((~trans(s49, s15)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7602,plain,
% 1.01/1.09 (~trans(s49, s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7601, 7572])).
% 1.01/1.09 tff(7603,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s13)) | node2(s49, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s13)) | node2(s49, s13))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7604,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s13)) | node2(s49, s13))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7605,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s13)) | node2(s49, s13)),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 1.01/1.09 tff(7606,plain,
% 1.01/1.09 (node2(s49, s13)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7605, 2555, 7])).
% 1.01/1.09 tff(7607,plain,
% 1.01/1.09 (always3(s13)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3836, 2555])).
% 1.01/1.09 tff(7608,plain,
% 1.01/1.09 (~m_main_v_state(s13, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5564, 93, 7607])).
% 1.01/1.09 tff(7609,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s13, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s13)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s13, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s13)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7610,plain,
% 1.01/1.09 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s13, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s13)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7611,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s13, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s13))))),
% 1.01/1.09 inference(monotonicity,[status(thm)],[7610])).
% 1.01/1.09 tff(7612,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s13, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s13)))),
% 1.01/1.09 inference(transitivity,[status(thm)],[7611, 7609])).
% 1.01/1.09 tff(7613,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7614,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s13, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s13))),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7613, 7612])).
% 1.01/1.09 tff(7615,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7614, 52, 7608, 5176, 5164, 7606])).
% 1.01/1.09 tff(7616,plain,((~trans(s49, s13)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7617,plain,
% 1.01/1.09 (~trans(s49, s13)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7616, 7572])).
% 1.01/1.09 tff(7618,plain,
% 1.01/1.09 (xuntil6(s9) | (~until5(s9))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3129, 1275, 576])).
% 1.01/1.09 tff(7619,plain,
% 1.01/1.09 (xuntil6(s9)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7618, 6892])).
% 1.01/1.09 tff(7620,plain,
% 1.01/1.09 (until5(s10)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3135, 7619])).
% 1.01/1.09 tff(7621,plain,
% 1.01/1.09 (xuntil6(s10) | (~until5(s10))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3143, 1275, 580])).
% 1.01/1.09 tff(7622,plain,
% 1.01/1.09 (xuntil6(s10)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7621, 7620])).
% 1.01/1.09 tff(7623,plain,
% 1.01/1.09 (until5(s11)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3149, 7622])).
% 1.01/1.09 tff(7624,plain,
% 1.01/1.09 (xuntil6(s11) | (~until5(s11))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3157, 1275, 439])).
% 1.01/1.09 tff(7625,plain,
% 1.01/1.09 (xuntil6(s11)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7624, 7623])).
% 1.01/1.09 tff(7626,plain,
% 1.01/1.09 (until5(s12)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3163, 7625])).
% 1.01/1.09 tff(7627,plain,
% 1.01/1.09 (xuntil6(s12)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5987, 7626])).
% 1.01/1.09 tff(7628,plain,
% 1.01/1.09 (until5(s13)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3177, 7627])).
% 1.01/1.09 tff(7629,plain,
% 1.01/1.09 (xuntil6(s13)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6903, 7628])).
% 1.01/1.09 tff(7630,plain,
% 1.01/1.09 (until5(s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3191, 7629])).
% 1.01/1.09 tff(7631,plain,
% 1.01/1.09 (xuntil6(s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6906, 7630])).
% 1.01/1.09 tff(7632,plain,
% 1.01/1.09 (until5(s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3205, 7631])).
% 1.01/1.09 tff(7633,plain,
% 1.01/1.09 (xuntil6(s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6909, 7632])).
% 1.01/1.09 tff(7634,plain,
% 1.01/1.09 (until5(s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3219, 7633])).
% 1.01/1.09 tff(7635,plain,
% 1.01/1.09 (xuntil6(s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6912, 7634])).
% 1.01/1.09 tff(7636,plain,
% 1.01/1.09 (until5(s17)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3233, 7635])).
% 1.01/1.09 tff(7637,plain,
% 1.01/1.09 (xuntil6(s17)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3241, 1275, 7636, 585])).
% 1.01/1.09 tff(7638,plain,
% 1.01/1.09 (until5(s18)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3247, 7637])).
% 1.01/1.09 tff(7639,plain,
% 1.01/1.09 (xuntil6(s18) | (~until5(s18))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3255, 1275, 482])).
% 1.01/1.09 tff(7640,plain,
% 1.01/1.09 (xuntil6(s18)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7639, 7638])).
% 1.01/1.09 tff(7641,plain,
% 1.01/1.09 (until5(s19)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3261, 7640])).
% 1.01/1.09 tff(7642,plain,
% 1.01/1.09 (xuntil6(s19)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[4808, 7641])).
% 1.01/1.09 tff(7643,plain,
% 1.01/1.09 (until5(s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3275, 7642])).
% 1.01/1.09 tff(7644,plain,
% 1.01/1.09 (xuntil6(s20) | (~until5(s20))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3283, 1275, 574])).
% 1.01/1.09 tff(7645,plain,
% 1.01/1.09 (xuntil6(s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7644, 7643])).
% 1.01/1.09 tff(7646,plain,
% 1.01/1.09 (until5(s21)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3289, 7645])).
% 1.01/1.09 tff(7647,plain,
% 1.01/1.09 (xuntil6(s21)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6018, 7646])).
% 1.01/1.09 tff(7648,plain,
% 1.01/1.09 (until5(s22)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3303, 7647])).
% 1.01/1.09 tff(7649,plain,
% 1.01/1.09 (xuntil6(s37)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6508, 577, 7648])).
% 1.01/1.09 tff(7650,plain,
% 1.01/1.09 (until5(s38)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[2778, 7649])).
% 1.01/1.09 tff(7651,plain,
% 1.01/1.09 (xuntil6(s38)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6534, 7650])).
% 1.01/1.09 tff(7652,plain,
% 1.01/1.09 (until5(s39)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[2763, 7651])).
% 1.01/1.09 tff(7653,plain,
% 1.01/1.09 (xuntil6(s39)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[4947, 7652])).
% 1.01/1.09 tff(7654,plain,
% 1.01/1.09 (until5(s40)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1297, 7653])).
% 1.01/1.09 tff(7655,plain,
% 1.01/1.09 (xuntil6(s40)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[4979, 7654])).
% 1.01/1.09 tff(7656,plain,
% 1.01/1.09 (until5(s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1309, 7655])).
% 1.01/1.09 tff(7657,plain,
% 1.01/1.09 (xuntil6(s41)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5011, 7656])).
% 1.01/1.09 tff(7658,plain,
% 1.01/1.09 (until5(s42)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1326, 7657])).
% 1.01/1.09 tff(7659,plain,
% 1.01/1.09 (xuntil6(s42)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6566, 7658])).
% 1.01/1.09 tff(7660,plain,
% 1.01/1.09 (until5(s43)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1343, 7659])).
% 1.01/1.09 tff(7661,plain,
% 1.01/1.09 (xuntil6(s46)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6815, 7660, 7334])).
% 1.01/1.09 tff(7662,plain,
% 1.01/1.09 (until5(s47)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1408, 7661])).
% 1.01/1.09 tff(7663,plain,
% 1.01/1.09 (xuntil6(s47)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5123, 7662])).
% 1.01/1.09 tff(7664,plain,
% 1.01/1.09 (until5(s48)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1425, 7663])).
% 1.01/1.09 tff(7665,plain,
% 1.01/1.09 (xuntil6(s48)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[5584, 7664])).
% 1.01/1.09 tff(7666,plain,
% 1.01/1.09 (until5(s49)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[1442, 7665])).
% 1.01/1.09 tff(7667,plain,
% 1.01/1.09 (xuntil6(s22)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6389, 7648])).
% 1.01/1.09 tff(7668,plain,
% 1.01/1.09 (until5(s23)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3317, 7667])).
% 1.01/1.09 tff(7669,plain,
% 1.01/1.09 (xuntil6(s23)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[6386, 7668])).
% 1.01/1.09 tff(7670,plain,
% 1.01/1.09 (until5(s24)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3331, 7669])).
% 1.01/1.09 tff(7671,plain,
% 1.01/1.09 (xuntil6(s24) | (~until5(s24))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3339, 1275, 531])).
% 1.01/1.09 tff(7672,plain,
% 1.01/1.09 (xuntil6(s24)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7671, 7670])).
% 1.01/1.09 tff(7673,plain,
% 1.01/1.09 (until5(s25)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3345, 7672])).
% 1.01/1.09 tff(7674,plain,
% 1.01/1.09 ((~trans(s49, s26)) | (~until5(s22)) | node4(s9) | node4(s10) | node4(s17) | node4(s21) | node4(s1) | node4(s0) | (~until5(s25))),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7207, 439, 482, 574, 531])).
% 1.01/1.09 tff(7675,plain,
% 1.01/1.09 (~trans(s49, s26)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7674, 582, 576, 580, 585, 7673, 7648, 583, 575])).
% 1.01/1.09 tff(7676,plain,
% 1.01/1.09 (~always3(s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[910, 3935])).
% 1.01/1.09 tff(7677,plain,
% 1.01/1.09 (~always3(s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[922, 7676])).
% 1.01/1.09 tff(7678,plain,
% 1.01/1.09 (~always3(s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[934, 7677])).
% 1.01/1.09 tff(7679,plain,
% 1.01/1.09 (~trans(s49, s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3707, 7678])).
% 1.01/1.09 tff(7680,plain,
% 1.01/1.09 (~trans(s49, s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3863, 7677])).
% 1.01/1.09 tff(7681,plain,
% 1.01/1.09 (~trans(s49, s17)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3943, 3935])).
% 1.01/1.09 tff(7682,plain,
% 1.01/1.09 (~trans(s49, s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3727, 7676])).
% 1.01/1.09 tff(7683,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s20)) | node2(s49, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s20)) | node2(s49, s20))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7684,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s20)) | node2(s49, s20))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7685,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s20)) | node2(s49, s20)),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 1.01/1.09 tff(7686,plain,
% 1.01/1.09 (node2(s49, s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7685, 2305, 7])).
% 1.01/1.09 tff(7687,plain,
% 1.01/1.09 (always3(s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3979, 2305])).
% 1.01/1.09 tff(7688,plain,
% 1.01/1.09 (~m_main_v_state(s20, c_busy)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[568, 93, 7687])).
% 1.01/1.09 tff(7689,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s20, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s20)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s20, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s20)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7690,plain,
% 1.01/1.09 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s20, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s20)))),
% 1.01/1.09 inference(rewrite,[status(thm)],[])).
% 1.01/1.09 tff(7691,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s20, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s20))))),
% 1.01/1.09 inference(monotonicity,[status(thm)],[7690])).
% 1.01/1.09 tff(7692,plain,
% 1.01/1.09 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s20, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s20)))),
% 1.01/1.09 inference(transitivity,[status(thm)],[7691, 7689])).
% 1.01/1.09 tff(7693,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.09 inference(quant_inst,[status(thm)],[])).
% 1.01/1.09 tff(7694,plain,
% 1.01/1.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s20, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s20))),
% 1.01/1.09 inference(modus_ponens,[status(thm)],[7693, 7692])).
% 1.01/1.09 tff(7695,plain,
% 1.01/1.09 ($false),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7694, 52, 7688, 5176, 5164, 7686])).
% 1.01/1.09 tff(7696,plain,((~trans(s49, s20)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.09 tff(7697,plain,
% 1.01/1.09 (~trans(s49, s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[7696, 5164])).
% 1.01/1.09 tff(7698,plain,
% 1.01/1.09 (~trans(s49, s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3707, 4832])).
% 1.01/1.09 tff(7699,plain,
% 1.01/1.09 (~trans(s49, s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3863, 4827])).
% 1.01/1.09 tff(7700,plain,
% 1.01/1.09 (~trans(s49, s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3979, 4776])).
% 1.01/1.09 tff(7701,plain,
% 1.01/1.09 (~trans(s49, s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3727, 4822])).
% 1.01/1.09 tff(7702,plain,
% 1.01/1.09 (~trans(s49, s17)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3943, 4817])).
% 1.01/1.09 tff(7703,plain,
% 1.01/1.09 (~trans(s49, s21)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[4145, 4136])).
% 1.01/1.09 tff(7704,plain,
% 1.01/1.09 (~always3(s22)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[882, 3946])).
% 1.01/1.09 tff(7705,plain,
% 1.01/1.09 (~always3(s21)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[367, 7704])).
% 1.01/1.09 tff(7706,plain,
% 1.01/1.09 (~always3(s20)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[551, 7705])).
% 1.01/1.09 tff(7707,plain,
% 1.01/1.09 (~always3(s19)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[896, 7706])).
% 1.01/1.09 tff(7708,plain,
% 1.01/1.09 (~always3(s18)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[459, 7707])).
% 1.01/1.09 tff(7709,plain,
% 1.01/1.09 (~always3(s17)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[345, 7708])).
% 1.01/1.09 tff(7710,plain,
% 1.01/1.09 (~always3(s16)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[910, 7709])).
% 1.01/1.09 tff(7711,plain,
% 1.01/1.09 (~always3(s15)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[922, 7710])).
% 1.01/1.09 tff(7712,plain,
% 1.01/1.09 (~always3(s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[934, 7711])).
% 1.01/1.09 tff(7713,plain,
% 1.01/1.09 (~trans(s49, s14)),
% 1.01/1.09 inference(unit_resolution,[status(thm)],[3707, 7712])).
% 1.01/1.09 tff(7714,plain,
% 1.01/1.09 (~trans(s49, s15)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3863, 7711])).
% 1.01/1.10 tff(7715,plain,
% 1.01/1.10 (~trans(s49, s20)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3979, 7706])).
% 1.01/1.10 tff(7716,plain,
% 1.01/1.10 (~trans(s49, s16)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3727, 7710])).
% 1.01/1.10 tff(7717,plain,
% 1.01/1.10 (~trans(s49, s17)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3943, 7709])).
% 1.01/1.10 tff(7718,plain,
% 1.01/1.10 (~trans(s49, s21)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[4145, 7705])).
% 1.01/1.10 tff(7719,plain,
% 1.01/1.10 (~trans(s49, s23)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3955, 3946])).
% 1.01/1.10 tff(7720,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s25)) | node2(s49, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s25)) | node2(s49, s25))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7721,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s25)) | node2(s49, s25))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7722,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s25)) | node2(s49, s25)),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7721, 7720])).
% 1.01/1.10 tff(7723,plain,
% 1.01/1.10 (node2(s49, s25)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7722, 2134, 7])).
% 1.01/1.10 tff(7724,plain,
% 1.01/1.10 (always3(s25)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3901, 2134])).
% 1.01/1.10 tff(7725,plain,
% 1.01/1.10 (~m_main_v_state(s25, c_busy)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[509, 93, 7724])).
% 1.01/1.10 tff(7726,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s25, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s25)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s25, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s25)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7727,plain,
% 1.01/1.10 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s25, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s25)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7728,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s25, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s25))))),
% 1.01/1.10 inference(monotonicity,[status(thm)],[7727])).
% 1.01/1.10 tff(7729,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s25, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s25)))),
% 1.01/1.10 inference(transitivity,[status(thm)],[7728, 7726])).
% 1.01/1.10 tff(7730,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7731,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s25, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s25))),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 1.01/1.10 tff(7732,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7731, 52, 7725, 5176, 5164, 7723])).
% 1.01/1.10 tff(7733,plain,((~trans(s49, s25)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7734,plain,
% 1.01/1.10 (~trans(s49, s25)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7733, 5164])).
% 1.01/1.10 tff(7735,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s24)) | node2(s49, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s24)) | node2(s49, s24))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7736,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s24)) | node2(s49, s24))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7737,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s24)) | node2(s49, s24)),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7736, 7735])).
% 1.01/1.10 tff(7738,plain,
% 1.01/1.10 (node2(s49, s24)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7737, 2294, 7])).
% 1.01/1.10 tff(7739,plain,
% 1.01/1.10 (always3(s24)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3968, 2294])).
% 1.01/1.10 tff(7740,plain,
% 1.01/1.10 (~m_main_v_state(s24, c_busy)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[525, 93, 7739])).
% 1.01/1.10 tff(7741,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s24, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s24)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s24, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s24)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7742,plain,
% 1.01/1.10 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s24, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s24)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7743,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s24, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s24))))),
% 1.01/1.10 inference(monotonicity,[status(thm)],[7742])).
% 1.01/1.10 tff(7744,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s24, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s24)))),
% 1.01/1.10 inference(transitivity,[status(thm)],[7743, 7741])).
% 1.01/1.10 tff(7745,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7746,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s24, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s24))),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 1.01/1.10 tff(7747,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7746, 52, 7740, 5176, 5164, 7738])).
% 1.01/1.10 tff(7748,plain,((~trans(s49, s24)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7749,plain,
% 1.01/1.10 (~trans(s49, s24)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7748, 5164])).
% 1.01/1.10 tff(7750,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s22)) | node2(s49, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s22)) | node2(s49, s22))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7751,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s22)) | node2(s49, s22))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7752,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s22)) | node2(s49, s22)),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 1.01/1.10 tff(7753,plain,
% 1.01/1.10 (node2(s49, s22)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7752, 2456, 7])).
% 1.01/1.10 tff(7754,plain,
% 1.01/1.10 (always3(s22)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[4336, 2456])).
% 1.01/1.10 tff(7755,plain,
% 1.01/1.10 (~m_main_v_state(s22, c_busy)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[374, 93, 7754])).
% 1.01/1.10 tff(7756,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s22, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s22, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s22)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7757,plain,
% 1.01/1.10 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s22, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s22)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7758,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s22, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s22))))),
% 1.01/1.10 inference(monotonicity,[status(thm)],[7757])).
% 1.01/1.10 tff(7759,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s22, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s22)))),
% 1.01/1.10 inference(transitivity,[status(thm)],[7758, 7756])).
% 1.01/1.10 tff(7760,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7761,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s22, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s22))),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 1.01/1.10 tff(7762,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7761, 52, 7755, 5176, 5164, 7753])).
% 1.01/1.10 tff(7763,plain,((~trans(s49, s22)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7764,plain,
% 1.01/1.10 (~trans(s49, s22)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7763, 5164])).
% 1.01/1.10 tff(7765,plain,
% 1.01/1.10 (~always3(s26)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[845, 4349])).
% 1.01/1.10 tff(7766,plain,
% 1.01/1.10 (~always3(s25)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[857, 7765])).
% 1.01/1.10 tff(7767,plain,
% 1.01/1.10 (~always3(s24)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[502, 7766])).
% 1.01/1.10 tff(7768,plain,
% 1.01/1.10 (~always3(s23)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[870, 7767])).
% 1.01/1.10 tff(7769,plain,
% 1.01/1.10 (~always3(s22)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[882, 7768])).
% 1.01/1.10 tff(7770,plain,
% 1.01/1.10 (~always3(s21)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[367, 7769])).
% 1.01/1.10 tff(7771,plain,
% 1.01/1.10 (~always3(s20)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[551, 7770])).
% 1.01/1.10 tff(7772,plain,
% 1.01/1.10 (~always3(s19)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[896, 7771])).
% 1.01/1.10 tff(7773,plain,
% 1.01/1.10 (~always3(s18)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[459, 7772])).
% 1.01/1.10 tff(7774,plain,
% 1.01/1.10 (~always3(s17)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[345, 7773])).
% 1.01/1.10 tff(7775,plain,
% 1.01/1.10 (~always3(s16)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[910, 7774])).
% 1.01/1.10 tff(7776,plain,
% 1.01/1.10 (~always3(s15)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[922, 7775])).
% 1.01/1.10 tff(7777,plain,
% 1.01/1.10 (~always3(s14)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[934, 7776])).
% 1.01/1.10 tff(7778,plain,
% 1.01/1.10 (~trans(s49, s14)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3707, 7777])).
% 1.01/1.10 tff(7779,plain,
% 1.01/1.10 (~trans(s49, s15)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3863, 7776])).
% 1.01/1.10 tff(7780,plain,
% 1.01/1.10 (~trans(s49, s20)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3979, 7771])).
% 1.01/1.10 tff(7781,plain,
% 1.01/1.10 (~trans(s49, s16)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3727, 7775])).
% 1.01/1.10 tff(7782,plain,
% 1.01/1.10 (~trans(s49, s25)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3901, 7766])).
% 1.01/1.10 tff(7783,plain,
% 1.01/1.10 (~trans(s49, s22)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[4336, 7769])).
% 1.01/1.10 tff(7784,plain,
% 1.01/1.10 (~trans(s49, s21)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[4145, 7770])).
% 1.01/1.10 tff(7785,plain,
% 1.01/1.10 (~trans(s49, s17)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3943, 7774])).
% 1.01/1.10 tff(7786,plain,
% 1.01/1.10 (~trans(s49, s23)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3955, 7768])).
% 1.01/1.10 tff(7787,plain,
% 1.01/1.10 (~trans(s49, s24)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3968, 7767])).
% 1.01/1.10 tff(7788,plain,
% 1.01/1.10 (~trans(s49, s27)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[4358, 4349])).
% 1.01/1.10 tff(7789,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s37)) | node2(s49, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s37)) | node2(s49, s37))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7790,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s37)) | node2(s49, s37))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7791,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s37)) | node2(s49, s37)),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 1.01/1.10 tff(7792,plain,
% 1.01/1.10 (node2(s49, s37)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7791, 2621, 7])).
% 1.01/1.10 tff(7793,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s37, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s37)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s37, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s37)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7794,plain,
% 1.01/1.10 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s37, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s37)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7795,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s37, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s37))))),
% 1.01/1.10 inference(monotonicity,[status(thm)],[7794])).
% 1.01/1.10 tff(7796,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s37, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s37)))),
% 1.01/1.10 inference(transitivity,[status(thm)],[7795, 7793])).
% 1.01/1.10 tff(7797,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7798,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s37, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s37))),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7797, 7796])).
% 1.01/1.10 tff(7799,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7798, 52, 7473, 5176, 5164, 7792])).
% 1.01/1.10 tff(7800,plain,((~trans(s49, s37)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7801,plain,
% 1.01/1.10 (~trans(s49, s37)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7800, 5164])).
% 1.01/1.10 tff(7802,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s32)) | node2(s49, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s32)) | node2(s49, s32))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7803,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s32)) | node2(s49, s32))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7804,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s32)) | node2(s49, s32)),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 1.01/1.10 tff(7805,plain,
% 1.01/1.10 (node2(s49, s32)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7804, 2040, 7])).
% 1.01/1.10 tff(7806,plain,
% 1.01/1.10 (always3(s32)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3889, 2040])).
% 1.01/1.10 tff(7807,plain,
% 1.01/1.10 (~m_main_v_state(s32, c_busy)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[6134, 93, 7806])).
% 1.01/1.10 tff(7808,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s32, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s32)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s32, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s32)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7809,plain,
% 1.01/1.10 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s32, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s32)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7810,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s32, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s32))))),
% 1.01/1.10 inference(monotonicity,[status(thm)],[7809])).
% 1.01/1.10 tff(7811,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s32, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s32)))),
% 1.01/1.10 inference(transitivity,[status(thm)],[7810, 7808])).
% 1.01/1.10 tff(7812,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7813,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s32, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s32))),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 1.01/1.10 tff(7814,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7813, 52, 7807, 5176, 5164, 7805])).
% 1.01/1.10 tff(7815,plain,((~trans(s49, s32)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7816,plain,
% 1.01/1.10 (~trans(s49, s32)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7815, 5164])).
% 1.01/1.10 tff(7817,assumption,(node2(s49, s45)), introduced(assumption)).
% 1.01/1.10 tff(7818,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7331, 52, 5636, 5176, 5164, 7817])).
% 1.01/1.10 tff(7819,plain,((~node2(s49, s45)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7820,plain,
% 1.01/1.10 (~node2(s49, s45)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7819, 5164])).
% 1.01/1.10 tff(7821,plain,
% 1.01/1.10 (~trans(s49, s45)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[6856, 7, 7820])).
% 1.01/1.10 tff(7822,plain,
% 1.01/1.10 (node2(s49, s29)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7284, 2156, 7])).
% 1.01/1.10 tff(7823,plain,
% 1.01/1.10 (always3(s29)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[3911, 2156])).
% 1.01/1.10 tff(7824,plain,
% 1.01/1.10 (~m_main_v_state(s29, c_busy)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[6261, 93, 7823])).
% 1.01/1.10 tff(7825,plain,
% 1.01/1.10 ($false),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7310, 52, 7824, 5176, 5164, 7822])).
% 1.01/1.10 tff(7826,plain,((~trans(s49, s29)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.10 tff(7827,plain,
% 1.01/1.10 (~trans(s49, s29)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7826, 5164])).
% 1.01/1.10 tff(7828,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s28)) | node2(s49, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s28)) | node2(s49, s28))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7829,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s28)) | node2(s49, s28))),
% 1.01/1.10 inference(quant_inst,[status(thm)],[])).
% 1.01/1.10 tff(7830,plain,
% 1.01/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s28)) | node2(s49, s28)),
% 1.01/1.10 inference(modus_ponens,[status(thm)],[7829, 7828])).
% 1.01/1.10 tff(7831,plain,
% 1.01/1.10 (node2(s49, s28)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[7830, 2500, 7])).
% 1.01/1.10 tff(7832,plain,
% 1.01/1.10 (always3(s28)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[4525, 2500])).
% 1.01/1.10 tff(7833,plain,
% 1.01/1.10 (~m_main_v_state(s28, c_busy)),
% 1.01/1.10 inference(unit_resolution,[status(thm)],[1796, 93, 7832])).
% 1.01/1.10 tff(7834,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s28, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s28)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s28, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s28)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7835,plain,
% 1.01/1.10 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s28, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s28)))),
% 1.01/1.10 inference(rewrite,[status(thm)],[])).
% 1.01/1.10 tff(7836,plain,
% 1.01/1.10 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s28, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s28))))),
% 1.01/1.11 inference(monotonicity,[status(thm)],[7835])).
% 1.01/1.11 tff(7837,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s28, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s28)))),
% 1.01/1.11 inference(transitivity,[status(thm)],[7836, 7834])).
% 1.01/1.11 tff(7838,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7839,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s28, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s28))),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 1.01/1.11 tff(7840,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7839, 52, 7833, 5176, 5164, 7831])).
% 1.01/1.11 tff(7841,plain,((~trans(s49, s28)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.11 tff(7842,plain,
% 1.01/1.11 (~trans(s49, s28)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7841, 5164])).
% 1.01/1.11 tff(7843,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s19)) | node2(s49, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s19)) | node2(s49, s19))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7844,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s19)) | node2(s49, s19))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7845,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s19)) | node2(s49, s19)),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7844, 7843])).
% 1.01/1.11 tff(7846,plain,
% 1.01/1.11 (node2(s49, s19)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7845, 2610, 7])).
% 1.01/1.11 tff(7847,plain,
% 1.01/1.11 (always3(s19)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[4581, 2610])).
% 1.01/1.11 tff(7848,plain,
% 1.01/1.11 (~m_main_v_state(s19, c_busy)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[466, 93, 7847])).
% 1.01/1.11 tff(7849,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s19, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s19, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s19)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7850,plain,
% 1.01/1.11 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s19, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s19)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7851,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s19, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s19))))),
% 1.01/1.11 inference(monotonicity,[status(thm)],[7850])).
% 1.01/1.11 tff(7852,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s19, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s19)))),
% 1.01/1.11 inference(transitivity,[status(thm)],[7851, 7849])).
% 1.01/1.11 tff(7853,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7854,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s19, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s19))),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7853, 7852])).
% 1.01/1.11 tff(7855,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7854, 52, 7848, 5176, 5164, 7846])).
% 1.01/1.11 tff(7856,plain,((~trans(s49, s19)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.11 tff(7857,plain,
% 1.01/1.11 (~trans(s49, s19)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7856, 5164])).
% 1.01/1.11 tff(7858,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s18)) | node2(s49, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s18)) | node2(s49, s18))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7859,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s18)) | node2(s49, s18))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7860,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s18)) | node2(s49, s18)),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 1.01/1.11 tff(7861,plain,
% 1.01/1.11 (node2(s49, s18)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7860, 2632, 7])).
% 1.01/1.11 tff(7862,plain,
% 1.01/1.11 (always3(s18)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[4570, 2632])).
% 1.01/1.11 tff(7863,plain,
% 1.01/1.11 (~m_main_v_state(s18, c_busy)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[340, 93, 7862])).
% 1.01/1.11 tff(7864,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s18, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s18, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s18)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7865,plain,
% 1.01/1.11 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s18, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s18)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7866,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s18, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s18))))),
% 1.01/1.11 inference(monotonicity,[status(thm)],[7865])).
% 1.01/1.11 tff(7867,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s18, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s18)))),
% 1.01/1.11 inference(transitivity,[status(thm)],[7866, 7864])).
% 1.01/1.11 tff(7868,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7869,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s18, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s18))),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7868, 7867])).
% 1.01/1.11 tff(7870,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7869, 52, 7863, 5176, 5164, 7861])).
% 1.01/1.11 tff(7871,plain,((~trans(s49, s18)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.11 tff(7872,plain,
% 1.01/1.11 (~trans(s49, s18)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7871, 5164])).
% 1.01/1.11 tff(7873,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s31)) | node2(s49, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s31)) | node2(s49, s31))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7874,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s31)) | node2(s49, s31))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7875,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s31)) | node2(s49, s31)),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7874, 7873])).
% 1.01/1.11 tff(7876,plain,
% 1.01/1.11 (node2(s49, s31)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7875, 2434, 7])).
% 1.01/1.11 tff(7877,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s31, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s31, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s31)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7878,plain,
% 1.01/1.11 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s31, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s31)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7879,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s31, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s31))))),
% 1.01/1.11 inference(monotonicity,[status(thm)],[7878])).
% 1.01/1.11 tff(7880,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s31, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s31)))),
% 1.01/1.11 inference(transitivity,[status(thm)],[7879, 7877])).
% 1.01/1.11 tff(7881,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7882,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s31, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s31))),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 1.01/1.11 tff(7883,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7882, 52, 7228, 5176, 5164, 7876])).
% 1.01/1.11 tff(7884,plain,((~trans(s49, s31)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.11 tff(7885,plain,
% 1.01/1.11 (~trans(s49, s31)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7884, 5164])).
% 1.01/1.11 tff(7886,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s30)) | node2(s49, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s30)) | node2(s49, s30))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7887,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s30)) | node2(s49, s30))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7888,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s30)) | node2(s49, s30)),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7887, 7886])).
% 1.01/1.11 tff(7889,plain,
% 1.01/1.11 (node2(s49, s30)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7888, 2349, 7])).
% 1.01/1.11 tff(7890,plain,
% 1.01/1.11 (always3(s30)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[4156, 2349])).
% 1.01/1.11 tff(7891,plain,
% 1.01/1.11 (~m_main_v_state(s30, c_busy)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[6208, 93, 7890])).
% 1.01/1.11 tff(7892,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s30, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s30, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s30)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7893,plain,
% 1.01/1.11 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s30, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s30)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7894,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s30, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s30))))),
% 1.01/1.11 inference(monotonicity,[status(thm)],[7893])).
% 1.01/1.11 tff(7895,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s30, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s30)))),
% 1.01/1.11 inference(transitivity,[status(thm)],[7894, 7892])).
% 1.01/1.11 tff(7896,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7897,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s30, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s30))),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 1.01/1.11 tff(7898,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7897, 52, 7891, 5176, 5164, 7889])).
% 1.01/1.11 tff(7899,plain,((~trans(s49, s30)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.11 tff(7900,plain,
% 1.01/1.11 (~trans(s49, s30)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7899, 5164])).
% 1.01/1.11 tff(7901,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s36)) | node2(s49, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s36)) | node2(s49, s36))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7902,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s36)) | node2(s49, s36))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7903,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s36)) | node2(s49, s36)),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7902, 7901])).
% 1.01/1.11 tff(7904,plain,
% 1.01/1.11 (node2(s49, s36)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7903, 2167, 7])).
% 1.01/1.11 tff(7905,plain,
% 1.01/1.11 (always3(s36)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[3921, 2167])).
% 1.01/1.11 tff(7906,plain,
% 1.01/1.11 (~m_main_v_state(s36, c_busy)),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[289, 93, 7905])).
% 1.01/1.11 tff(7907,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s36, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s36)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s36, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s36)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7908,plain,
% 1.01/1.11 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s36, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s36)))),
% 1.01/1.11 inference(rewrite,[status(thm)],[])).
% 1.01/1.11 tff(7909,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s36, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s36))))),
% 1.01/1.11 inference(monotonicity,[status(thm)],[7908])).
% 1.01/1.11 tff(7910,plain,
% 1.01/1.11 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s36, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s36)))),
% 1.01/1.11 inference(transitivity,[status(thm)],[7909, 7907])).
% 1.01/1.11 tff(7911,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.11 inference(quant_inst,[status(thm)],[])).
% 1.01/1.11 tff(7912,plain,
% 1.01/1.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s36, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s36))),
% 1.01/1.11 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 1.01/1.11 tff(7913,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(unit_resolution,[status(thm)],[7912, 52, 7906, 5176, 5164, 7904])).
% 1.01/1.12 tff(7914,plain,((~trans(s49, s36)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(7915,plain,
% 1.01/1.12 (~trans(s49, s36)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7914, 5164])).
% 1.01/1.12 tff(7916,plain,
% 1.01/1.12 (~always3(s13)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[946, 7777])).
% 1.01/1.12 tff(7917,plain,
% 1.01/1.12 (~trans(s49, s13)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[3836, 7916])).
% 1.01/1.12 tff(7918,plain,
% 1.01/1.12 (~always3(s12)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[958, 7916])).
% 1.01/1.12 tff(7919,plain,
% 1.01/1.12 (~trans(s49, s12)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[3717, 7918])).
% 1.01/1.12 tff(7920,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s38)) | node2(s49, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s38)) | node2(s49, s38))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7921,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s38)) | node2(s49, s38))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7922,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s38)) | node2(s49, s38)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 1.01/1.12 tff(7923,plain,
% 1.01/1.12 (node2(s49, s38)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7922, 2327, 7])).
% 1.01/1.12 tff(7924,plain,
% 1.01/1.12 (always3(s38)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4134, 2327])).
% 1.01/1.12 tff(7925,plain,
% 1.01/1.12 (~m_main_v_state(s38, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[6028, 93, 7924])).
% 1.01/1.12 tff(7926,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s38, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s38)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s38, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s38)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7927,plain,
% 1.01/1.12 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s38, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s38)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7928,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s38, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s38))))),
% 1.01/1.12 inference(monotonicity,[status(thm)],[7927])).
% 1.01/1.12 tff(7929,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s38, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s38)))),
% 1.01/1.12 inference(transitivity,[status(thm)],[7928, 7926])).
% 1.01/1.12 tff(7930,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7931,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s38, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s38))),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 1.01/1.12 tff(7932,plain,
% 1.01/1.12 ($false),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7931, 52, 7925, 5176, 5164, 7923])).
% 1.01/1.12 tff(7933,plain,((~trans(s49, s38)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(7934,plain,
% 1.01/1.12 (~trans(s49, s38)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7933, 5164])).
% 1.01/1.12 tff(7935,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s39)) | node2(s49, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s39)) | node2(s49, s39))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7936,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s39)) | node2(s49, s39))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7937,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s39)) | node2(s49, s39)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7936, 7935])).
% 1.01/1.12 tff(7938,plain,
% 1.01/1.12 (node2(s49, s39)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7937, 2423, 7])).
% 1.01/1.12 tff(7939,plain,
% 1.01/1.12 (always3(s39)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4314, 2423])).
% 1.01/1.12 tff(7940,plain,
% 1.01/1.12 (~m_main_v_state(s39, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4940, 93, 7939])).
% 1.01/1.12 tff(7941,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s39, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s39)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s39, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s39)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7942,plain,
% 1.01/1.12 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s39, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s39)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7943,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s39, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s39))))),
% 1.01/1.12 inference(monotonicity,[status(thm)],[7942])).
% 1.01/1.12 tff(7944,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s39, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s39)))),
% 1.01/1.12 inference(transitivity,[status(thm)],[7943, 7941])).
% 1.01/1.12 tff(7945,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7946,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s39, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s39))),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7945, 7944])).
% 1.01/1.12 tff(7947,plain,
% 1.01/1.12 ($false),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7946, 52, 7940, 5176, 5164, 7938])).
% 1.01/1.12 tff(7948,plain,((~trans(s49, s39)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(7949,plain,
% 1.01/1.12 (~trans(s49, s39)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7948, 5164])).
% 1.01/1.12 tff(7950,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s40)) | node2(s49, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s40)) | node2(s49, s40))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7951,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s40)) | node2(s49, s40))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7952,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s40)) | node2(s49, s40)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 1.01/1.12 tff(7953,plain,
% 1.01/1.12 (node2(s49, s40)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7952, 2489, 7])).
% 1.01/1.12 tff(7954,plain,
% 1.01/1.12 (always3(s40)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4514, 2489])).
% 1.01/1.12 tff(7955,plain,
% 1.01/1.12 (~m_main_v_state(s40, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4924, 93, 7954])).
% 1.01/1.12 tff(7956,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s40, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s40)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s40, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s40)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7957,plain,
% 1.01/1.12 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s40, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s40)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7958,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s40, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s40))))),
% 1.01/1.12 inference(monotonicity,[status(thm)],[7957])).
% 1.01/1.12 tff(7959,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s40, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s40)))),
% 1.01/1.12 inference(transitivity,[status(thm)],[7958, 7956])).
% 1.01/1.12 tff(7960,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7961,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s40, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s40))),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 1.01/1.12 tff(7962,plain,
% 1.01/1.12 ($false),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7961, 52, 7955, 5176, 5164, 7953])).
% 1.01/1.12 tff(7963,plain,((~trans(s49, s40)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(7964,plain,
% 1.01/1.12 (~trans(s49, s40)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7963, 5164])).
% 1.01/1.12 tff(7965,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s42)) | node2(s49, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s42)) | node2(s49, s42))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7966,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s42)) | node2(s49, s42))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7967,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s42)) | node2(s49, s42)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 1.01/1.12 tff(7968,plain,
% 1.01/1.12 (node2(s49, s42)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7967, 2511, 7])).
% 1.01/1.12 tff(7969,plain,
% 1.01/1.12 (always3(s42)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[3932, 2511])).
% 1.01/1.12 tff(7970,plain,
% 1.01/1.12 (~m_main_v_state(s42, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4994, 93, 7969])).
% 1.01/1.12 tff(7971,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s42, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s42)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s42, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s42)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7972,plain,
% 1.01/1.12 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s42, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s42)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7973,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s42, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s42))))),
% 1.01/1.12 inference(monotonicity,[status(thm)],[7972])).
% 1.01/1.12 tff(7974,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s42, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s42)))),
% 1.01/1.12 inference(transitivity,[status(thm)],[7973, 7971])).
% 1.01/1.12 tff(7975,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7976,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s42, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s42))),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7975, 7974])).
% 1.01/1.12 tff(7977,plain,
% 1.01/1.12 ($false),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7976, 52, 7970, 5176, 5164, 7968])).
% 1.01/1.12 tff(7978,plain,((~trans(s49, s42)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(7979,plain,
% 1.01/1.12 (~trans(s49, s42)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7978, 5164])).
% 1.01/1.12 tff(7980,plain,
% 1.01/1.12 (~m_main_v_state(s44, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[612, 93, 7334])).
% 1.01/1.12 tff(7981,assumption,(node2(s49, s44)), introduced(assumption)).
% 1.01/1.12 tff(7982,assumption,(~m_main_v_state(s44, c_busy)), introduced(assumption)).
% 1.01/1.12 tff(7983,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s44, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s44)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s44, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s44)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7984,plain,
% 1.01/1.12 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s44, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s44)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7985,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s44, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s44))))),
% 1.01/1.12 inference(monotonicity,[status(thm)],[7984])).
% 1.01/1.12 tff(7986,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s44, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s44)))),
% 1.01/1.12 inference(transitivity,[status(thm)],[7985, 7983])).
% 1.01/1.12 tff(7987,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7988,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s44, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s44))),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 1.01/1.12 tff(7989,plain,
% 1.01/1.12 ($false),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7988, 52, 7982, 5176, 5164, 7981])).
% 1.01/1.12 tff(7990,plain,((~node2(s49, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(7991,plain,
% 1.01/1.12 (~node2(s49, s44)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7990, 5164, 7980])).
% 1.01/1.12 tff(7992,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s44)) | node2(s49, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s44)) | node2(s49, s44))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7993,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s44)) | node2(s49, s44))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7994,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s44)) | node2(s49, s44)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 1.01/1.12 tff(7995,plain,
% 1.01/1.12 (~trans(s49, s44)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7994, 7, 7991])).
% 1.01/1.12 tff(7996,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s33)) | node2(s49, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s33)) | node2(s49, s33))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(7997,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s33)) | node2(s49, s33))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(7998,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s33)) | node2(s49, s33)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 1.01/1.12 tff(7999,plain,
% 1.01/1.12 (node2(s49, s33)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[7998, 2522, 7])).
% 1.01/1.12 tff(8000,plain,
% 1.01/1.12 (always3(s33)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4536, 2522])).
% 1.01/1.12 tff(8001,plain,
% 1.01/1.12 (~m_main_v_state(s33, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[6107, 93, 8000])).
% 1.01/1.12 tff(8002,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s33, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s33)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s33, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s33)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(8003,plain,
% 1.01/1.12 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s33, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s33)))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(8004,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s33, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s33))))),
% 1.01/1.12 inference(monotonicity,[status(thm)],[8003])).
% 1.01/1.12 tff(8005,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s33, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s33)))),
% 1.01/1.12 inference(transitivity,[status(thm)],[8004, 8002])).
% 1.01/1.12 tff(8006,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(8007,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s33, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s33))),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 1.01/1.12 tff(8008,plain,
% 1.01/1.12 ($false),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[8007, 52, 8001, 5176, 5164, 7999])).
% 1.01/1.12 tff(8009,plain,((~trans(s49, s33)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.12 tff(8010,plain,
% 1.01/1.12 (~trans(s49, s33)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[8009, 5164])).
% 1.01/1.12 tff(8011,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s34)) | node2(s49, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s34)) | node2(s49, s34))),
% 1.01/1.12 inference(rewrite,[status(thm)],[])).
% 1.01/1.12 tff(8012,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s34)) | node2(s49, s34))),
% 1.01/1.12 inference(quant_inst,[status(thm)],[])).
% 1.01/1.12 tff(8013,plain,
% 1.01/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s34)) | node2(s49, s34)),
% 1.01/1.12 inference(modus_ponens,[status(thm)],[8012, 8011])).
% 1.01/1.12 tff(8014,plain,
% 1.01/1.12 (node2(s49, s34)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[8013, 2467, 7])).
% 1.01/1.12 tff(8015,plain,
% 1.01/1.12 (always3(s34)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[4347, 2467])).
% 1.01/1.12 tff(8016,plain,
% 1.01/1.12 (~m_main_v_state(s34, c_busy)),
% 1.01/1.12 inference(unit_resolution,[status(thm)],[1704, 93, 8015])).
% 1.01/1.12 tff(8017,plain,
% 1.01/1.12 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s34, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s34, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s34)))),
% 1.01/1.13 inference(rewrite,[status(thm)],[])).
% 1.01/1.13 tff(8018,plain,
% 1.01/1.13 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s34, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s34)))),
% 1.01/1.13 inference(rewrite,[status(thm)],[])).
% 1.01/1.13 tff(8019,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s34, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s34))))),
% 1.01/1.13 inference(monotonicity,[status(thm)],[8018])).
% 1.01/1.13 tff(8020,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s34, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s34)))),
% 1.01/1.13 inference(transitivity,[status(thm)],[8019, 8017])).
% 1.01/1.13 tff(8021,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.13 inference(quant_inst,[status(thm)],[])).
% 1.01/1.13 tff(8022,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s34, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s34))),
% 1.01/1.13 inference(modus_ponens,[status(thm)],[8021, 8020])).
% 1.01/1.13 tff(8023,plain,
% 1.01/1.13 ($false),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8022, 52, 8016, 5176, 5164, 8014])).
% 1.01/1.13 tff(8024,plain,((~trans(s49, s34)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.13 tff(8025,plain,
% 1.01/1.13 (~trans(s49, s34)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8024, 5164])).
% 1.01/1.13 tff(8026,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s35)) | node2(s49, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s35)) | node2(s49, s35))),
% 1.01/1.13 inference(rewrite,[status(thm)],[])).
% 1.01/1.13 tff(8027,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s35)) | node2(s49, s35))),
% 1.01/1.13 inference(quant_inst,[status(thm)],[])).
% 1.01/1.13 tff(8028,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s35)) | node2(s49, s35)),
% 1.01/1.13 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 1.01/1.13 tff(8029,plain,
% 1.01/1.13 (node2(s49, s35)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8028, 2577, 7])).
% 1.01/1.13 tff(8030,plain,
% 1.01/1.13 (always3(s35)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4559, 2577])).
% 1.01/1.13 tff(8031,plain,
% 1.01/1.13 (~m_main_v_state(s35, c_busy)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1688, 93, 8030])).
% 1.01/1.13 tff(8032,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s35, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s35, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s35)))),
% 1.01/1.13 inference(rewrite,[status(thm)],[])).
% 1.01/1.13 tff(8033,plain,
% 1.01/1.13 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s35, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s35)))),
% 1.01/1.13 inference(rewrite,[status(thm)],[])).
% 1.01/1.13 tff(8034,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s35, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s35))))),
% 1.01/1.13 inference(monotonicity,[status(thm)],[8033])).
% 1.01/1.13 tff(8035,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s35, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s35)))),
% 1.01/1.13 inference(transitivity,[status(thm)],[8034, 8032])).
% 1.01/1.13 tff(8036,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.13 inference(quant_inst,[status(thm)],[])).
% 1.01/1.13 tff(8037,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s35, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s35))),
% 1.01/1.13 inference(modus_ponens,[status(thm)],[8036, 8035])).
% 1.01/1.13 tff(8038,plain,
% 1.01/1.13 ($false),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8037, 52, 8031, 5176, 5164, 8029])).
% 1.01/1.13 tff(8039,plain,((~trans(s49, s35)) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.13 tff(8040,plain,
% 1.01/1.13 (~trans(s49, s35)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8039, 5164])).
% 1.01/1.13 tff(8041,plain,
% 1.01/1.13 ((~trans(s49, s41)) | (~until5(s49))),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[7517, 5653, 634])).
% 1.01/1.13 tff(8042,plain,
% 1.01/1.13 (~trans(s49, s41)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8041, 1470])).
% 1.01/1.13 tff(8043,plain,
% 1.01/1.13 (trans(s49, s43)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[6852, 5129, 1470, 8042, 8040, 8025, 5153, 8010, 7995, 7979, 7964, 3868, 7949, 7934, 5149, 5148, 4539, 5140, 5146, 5128, 4160, 4159, 4538, 5137, 5136, 5144, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5142, 5125, 5139, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 4158, 3867])).
% 1.01/1.13 tff(8044,plain,
% 1.01/1.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s43)) | node2(s49, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s43)) | node2(s49, s43))),
% 1.01/1.13 inference(rewrite,[status(thm)],[])).
% 1.01/1.13 tff(8045,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s43)) | node2(s49, s43))),
% 1.01/1.13 inference(quant_inst,[status(thm)],[])).
% 1.01/1.13 tff(8046,plain,
% 1.01/1.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s43)) | node2(s49, s43)),
% 1.01/1.13 inference(modus_ponens,[status(thm)],[8045, 8044])).
% 1.01/1.13 tff(8047,plain,
% 1.01/1.13 (node2(s49, s43)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8046, 8043, 7])).
% 1.01/1.13 tff(8048,plain,
% 1.01/1.13 (~always3(s42)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[664, 4583])).
% 1.01/1.13 tff(8049,plain,
% 1.01/1.13 (~always3(s41)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[676, 8048])).
% 1.01/1.13 tff(8050,plain,
% 1.01/1.13 (~always3(s40)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[688, 8049])).
% 1.01/1.13 tff(8051,plain,
% 1.01/1.13 (~always3(s39)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[700, 8050])).
% 1.01/1.13 tff(8052,plain,
% 1.01/1.13 (~always3(s38)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[712, 8051])).
% 1.01/1.13 tff(8053,plain,
% 1.01/1.13 (~always3(s37)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[724, 8052])).
% 1.01/1.13 tff(8054,plain,
% 1.01/1.13 (~always3(s36)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[266, 8053])).
% 1.01/1.13 tff(8055,plain,
% 1.01/1.13 (~always3(s35)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[737, 8054])).
% 1.01/1.13 tff(8056,plain,
% 1.01/1.13 (~always3(s34)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[749, 8055])).
% 1.01/1.13 tff(8057,plain,
% 1.01/1.13 (~always3(s33)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[761, 8056])).
% 1.01/1.13 tff(8058,plain,
% 1.01/1.13 (~always3(s32)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[773, 8057])).
% 1.01/1.13 tff(8059,plain,
% 1.01/1.13 (~always3(s31)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[785, 8058])).
% 1.01/1.13 tff(8060,plain,
% 1.01/1.13 (~always3(s30)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[797, 8059])).
% 1.01/1.13 tff(8061,plain,
% 1.01/1.13 (~always3(s29)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[809, 8060])).
% 1.01/1.13 tff(8062,plain,
% 1.01/1.13 (~always3(s28)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[821, 8061])).
% 1.01/1.13 tff(8063,plain,
% 1.01/1.13 (~always3(s27)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[833, 8062])).
% 1.01/1.13 tff(8064,plain,
% 1.01/1.13 (~always3(s26)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[845, 8063])).
% 1.01/1.13 tff(8065,plain,
% 1.01/1.13 (~node4(s26)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1187, 67, 8064])).
% 1.01/1.13 tff(8066,plain,
% 1.01/1.13 (~node4(s43)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[593, 67, 4583])).
% 1.01/1.13 tff(8067,plain,
% 1.01/1.13 (~node4(s38)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1111, 67, 8052])).
% 1.01/1.13 tff(8068,plain,
% 1.01/1.13 (~node4(s37)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1154, 67, 8053])).
% 1.01/1.13 tff(8069,plain,
% 1.01/1.13 (~node4(s36)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[254, 67, 8054])).
% 1.01/1.13 tff(8070,plain,
% 1.01/1.13 (~node4(s35)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1159, 67, 8055])).
% 1.01/1.13 tff(8071,plain,
% 1.01/1.13 (~node4(s33)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1163, 67, 8057])).
% 1.01/1.13 tff(8072,plain,
% 1.01/1.13 (~node4(s32)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1167, 67, 8058])).
% 1.01/1.13 tff(8073,plain,
% 1.01/1.13 (~node4(s31)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1171, 67, 8059])).
% 1.01/1.13 tff(8074,plain,
% 1.01/1.13 (~node4(s30)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1175, 67, 8060])).
% 1.01/1.13 tff(8075,plain,
% 1.01/1.13 (~node4(s29)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1179, 67, 8061])).
% 1.01/1.13 tff(8076,plain,
% 1.01/1.13 (~node4(s28)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1183, 67, 8062])).
% 1.01/1.13 tff(8077,plain,
% 1.01/1.13 (~always3(s25)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[857, 8064])).
% 1.01/1.13 tff(8078,plain,
% 1.01/1.13 (~node4(s25)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1191, 67, 8077])).
% 1.01/1.13 tff(8079,plain,
% 1.01/1.13 (~always3(s24)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[502, 8077])).
% 1.01/1.13 tff(8080,plain,
% 1.01/1.13 (~node4(s24)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[490, 67, 8079])).
% 1.01/1.13 tff(8081,plain,
% 1.01/1.13 (~always3(s23)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[870, 8079])).
% 1.01/1.13 tff(8082,plain,
% 1.01/1.13 (~always3(s22)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[882, 8081])).
% 1.01/1.13 tff(8083,plain,
% 1.01/1.13 (~always3(s21)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[367, 8082])).
% 1.01/1.13 tff(8084,plain,
% 1.01/1.13 (~node4(s21)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[355, 67, 8083])).
% 1.01/1.13 tff(8085,plain,
% 1.01/1.13 (xuntil6(s21)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4904, 8083])).
% 1.01/1.13 tff(8086,plain,
% 1.01/1.13 (until5(s22)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3303, 8085])).
% 1.01/1.13 tff(8087,plain,
% 1.01/1.13 (xuntil6(s37)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3599, 8086, 8053])).
% 1.01/1.13 tff(8088,plain,
% 1.01/1.13 (until5(s38)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[2778, 8087])).
% 1.01/1.13 tff(8089,plain,
% 1.01/1.13 (xuntil6(s38) | node4(s38)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[2772, 1275, 8088])).
% 1.01/1.13 tff(8090,plain,
% 1.01/1.13 (xuntil6(s38)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[8089, 8067])).
% 1.01/1.13 tff(8091,plain,
% 1.01/1.13 (until5(s39)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[2763, 8090])).
% 1.01/1.13 tff(8092,plain,
% 1.01/1.13 (xuntil6(s39)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4947, 8091])).
% 1.01/1.13 tff(8093,plain,
% 1.01/1.13 (until5(s40)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1297, 8092])).
% 1.01/1.13 tff(8094,plain,
% 1.01/1.13 (xuntil6(s40)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4979, 8093])).
% 1.01/1.13 tff(8095,plain,
% 1.01/1.13 (until5(s41)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1309, 8094])).
% 1.01/1.13 tff(8096,plain,
% 1.01/1.13 (xuntil6(s41)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[5011, 8095])).
% 1.01/1.13 tff(8097,plain,
% 1.01/1.13 (until5(s42)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1326, 8096])).
% 1.01/1.13 tff(8098,plain,
% 1.01/1.13 (xuntil6(s42)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[6566, 8097])).
% 1.01/1.13 tff(8099,plain,
% 1.01/1.13 (until5(s43)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1343, 8098])).
% 1.01/1.13 tff(8100,plain,
% 1.01/1.13 (~trans(s49, s42)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3932, 8048])).
% 1.01/1.13 tff(8101,plain,
% 1.01/1.13 (~always3(s20)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[551, 8083])).
% 1.01/1.13 tff(8102,plain,
% 1.01/1.13 (~always3(s19)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[896, 8101])).
% 1.01/1.13 tff(8103,plain,
% 1.01/1.13 (~always3(s18)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[459, 8102])).
% 1.01/1.13 tff(8104,plain,
% 1.01/1.13 (~always3(s17)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[345, 8103])).
% 1.01/1.13 tff(8105,plain,
% 1.01/1.13 (~trans(s49, s17)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3943, 8104])).
% 1.01/1.13 tff(8106,plain,
% 1.01/1.13 (~trans(s49, s23)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3955, 8081])).
% 1.01/1.13 tff(8107,plain,
% 1.01/1.13 (~trans(s49, s24)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3968, 8079])).
% 1.01/1.13 tff(8108,plain,
% 1.01/1.13 (~trans(s49, s20)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[3979, 8101])).
% 1.01/1.13 tff(8109,plain,
% 1.01/1.13 (~trans(s49, s38)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4134, 8052])).
% 1.01/1.13 tff(8110,plain,
% 1.01/1.13 (~trans(s49, s21)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4145, 8083])).
% 1.01/1.13 tff(8111,plain,
% 1.01/1.13 (~trans(s49, s30)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4156, 8060])).
% 1.01/1.13 tff(8112,plain,
% 1.01/1.13 (~trans(s49, s39)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4314, 8051])).
% 1.01/1.13 tff(8113,plain,
% 1.01/1.13 (~trans(s49, s31)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4325, 8059])).
% 1.01/1.13 tff(8114,plain,
% 1.01/1.13 (~trans(s49, s22)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4336, 8082])).
% 1.01/1.13 tff(8115,plain,
% 1.01/1.13 (~trans(s49, s34)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4347, 8056])).
% 1.01/1.13 tff(8116,plain,
% 1.01/1.13 (~trans(s49, s27)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4358, 8063])).
% 1.01/1.13 tff(8117,plain,
% 1.01/1.13 (~trans(s49, s40)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4514, 8050])).
% 1.01/1.13 tff(8118,plain,
% 1.01/1.13 (~trans(s49, s28)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4525, 8062])).
% 1.01/1.13 tff(8119,plain,
% 1.01/1.13 (~trans(s49, s33)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4536, 8057])).
% 1.01/1.13 tff(8120,plain,
% 1.01/1.13 (~trans(s49, s37)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4548, 8053])).
% 1.01/1.13 tff(8121,plain,
% 1.01/1.13 (~trans(s49, s35)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4559, 8055])).
% 1.01/1.13 tff(8122,plain,
% 1.01/1.13 (~trans(s49, s18)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4570, 8103])).
% 1.01/1.13 tff(8123,plain,
% 1.01/1.13 (~trans(s49, s19)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4581, 8102])).
% 1.01/1.13 tff(8124,plain,
% 1.01/1.13 (~trans(s49, s43)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4592, 4583])).
% 1.01/1.13 tff(8125,plain,
% 1.01/1.13 (~trans(s49, s41)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[4760, 8049])).
% 1.01/1.13 tff(8126,plain,
% 1.01/1.13 (~m_main_v_request(s49)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[5626, 5151, 6612, 5153, 5152, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3868, 3867])).
% 1.01/1.13 tff(8127,plain,
% 1.01/1.13 (~node4(s49)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[6829, 8126])).
% 1.01/1.13 tff(8128,plain,
% 1.01/1.13 (~until2p7(s49)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1506, 8127])).
% 1.01/1.13 tff(8129,plain,
% 1.01/1.13 (xuntil6(s43)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1351, 1275, 6784, 1578])).
% 1.01/1.13 tff(8130,plain,
% 1.01/1.13 (until5(s44)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[1357, 8129])).
% 1.01/1.13 tff(8131,plain,
% 1.01/1.13 (node4(s44)),
% 1.01/1.13 inference(unit_resolution,[status(thm)],[6626, 8127, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 582, 579, 1454, 1452, 1451, 1450, 1449, 1448, 1447, 1446, 577, 1445, 1444, 1578, 1469, 1453, 583, 575, 8130])).
% 1.01/1.14 tff(8132,plain,
% 1.01/1.14 (always3(s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1361, 67, 8131])).
% 1.01/1.14 tff(8133,plain,
% 1.01/1.14 (xuntil6(s46)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[6815, 8132, 6784])).
% 1.01/1.14 tff(8134,plain,
% 1.01/1.14 (until5(s47)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1408, 8133])).
% 1.01/1.14 tff(8135,plain,
% 1.01/1.14 (xuntil6(s47)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[5123, 8134])).
% 1.01/1.14 tff(8136,plain,
% 1.01/1.14 (until5(s48)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1425, 8135])).
% 1.01/1.14 tff(8137,plain,
% 1.01/1.14 (xuntil6(s48)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[5584, 8136])).
% 1.01/1.14 tff(8138,plain,
% 1.01/1.14 (until5(s49)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1442, 8137])).
% 1.01/1.14 tff(8139,plain,
% 1.01/1.14 (xuntil6(s49) | (~until5(s49))),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1476, 1275, 8127])).
% 1.01/1.14 tff(8140,plain,
% 1.01/1.14 (xuntil6(s49)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8139, 8138])).
% 1.01/1.14 tff(8141,plain,
% 1.01/1.14 (~trans(s49, s49)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[2153, 8140, 8128])).
% 1.01/1.14 tff(8142,plain,
% 1.01/1.14 (~xuntil2p8(s48)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1521, 8128])).
% 1.01/1.14 tff(8143,plain,
% 1.01/1.14 (~until2p7(s48)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[6661, 8142])).
% 1.01/1.14 tff(8144,plain,
% 1.01/1.14 (~xuntil2p8(s47)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1532, 8143])).
% 1.01/1.14 tff(8145,plain,
% 1.01/1.14 (~until2p7(s47)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[6664, 8144])).
% 1.01/1.14 tff(8146,plain,
% 1.01/1.14 (~xuntil2p8(s46)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1543, 8145])).
% 1.01/1.14 tff(8147,plain,
% 1.01/1.14 (~until2p7(s46)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[6667, 8146])).
% 1.01/1.14 tff(8148,plain,
% 1.01/1.14 (~trans(s49, s46)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[2186, 8140, 8147])).
% 1.01/1.14 tff(8149,plain,
% 1.01/1.14 (~trans(s49, s48)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[2541, 8140, 8143])).
% 1.01/1.14 tff(8150,plain,
% 1.01/1.14 (~trans(s49, s47)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[2453, 8140, 8145])).
% 1.01/1.14 tff(8151,plain,
% 1.01/1.14 ($false),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[3503, 8150, 8149, 3868, 5153, 5152, 5151, 5150, 5149, 5148, 5147, 5146, 4539, 4538, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 4160, 4159, 4158, 5137, 5136, 5135, 3981, 5134, 5133, 3958, 3957, 5132, 3945, 5131, 3934, 5130, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 8148, 8141, 3867])).
% 1.01/1.14 tff(8152,plain,(trans(s49, s44) | trans(s49, s10) | trans(s49, s26) | trans(s49, s41) | trans(s49, s43) | trans(s49, s19) | trans(s49, s18) | trans(s49, s35) | trans(s49, s37) | trans(s49, s13) | trans(s49, s5) | trans(s49, s33) | trans(s49, s28) | trans(s49, s40) | trans(s49, s27) | trans(s49, s34) | trans(s49, s22) | trans(s49, s31) | trans(s49, s39) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s30) | trans(s49, s21) | trans(s49, s38) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s42) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0) | (~until5(s43)) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s21) | node4(s24) | node4(s25) | node4(s28) | node4(s29) | node4(s30) | node4(s31) | node4(s32) | node4(s33) | node4(s35) | node4(s36) | node4(s37) | node4(s38) | node4(s43) | node4(s2) | node4(s26) | node4(s1) | node4(s0)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.14 tff(8153,plain,
% 1.01/1.14 (trans(s49, s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8152, 8125, 5153, 3868, 8124, 8123, 8122, 8121, 8120, 4539, 4538, 8119, 8118, 8117, 8116, 8115, 8114, 8113, 8112, 4160, 4159, 4158, 8111, 8110, 8109, 3981, 8108, 8107, 3958, 3957, 8106, 3945, 8105, 3934, 8100, 5129, 5128, 5127, 3892, 3891, 5126, 3880, 3879, 3878, 5125, 3867, 8099, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 8084, 8080, 8078, 8076, 8075, 8074, 8073, 8072, 8071, 8070, 8069, 8068, 8067, 8066, 1469, 8065, 583, 575])).
% 1.01/1.14 tff(8154,plain,
% 1.01/1.14 (always3(s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[4603, 8153])).
% 1.01/1.14 tff(8155,plain,
% 1.01/1.14 (~m_main_v_state(s44, c_busy)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[612, 93, 8154])).
% 1.01/1.14 tff(8156,plain,
% 1.01/1.14 (m_main_v_state(s44, c_ready)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[5651, 155, 8155])).
% 1.01/1.14 tff(8157,plain,
% 1.01/1.14 (xuntil6(s43)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1351, 1275, 8099, 8066])).
% 1.01/1.14 tff(8158,plain,
% 1.01/1.14 (until5(s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[1357, 8157])).
% 1.01/1.14 tff(8159,plain,
% 1.01/1.14 (node2(s49, s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[7994, 8153, 7])).
% 1.01/1.14 tff(8160,plain,
% 1.01/1.14 (~m_main_v_request(s49)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[7988, 52, 8155, 5176, 8159])).
% 1.01/1.14 tff(8161,plain,
% 1.01/1.14 (~node4(s49)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[6829, 8160])).
% 1.01/1.14 tff(8162,plain,
% 1.01/1.14 (node4(s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[6626, 8161, 1468, 1467, 1466, 1465, 1464, 1463, 576, 580, 581, 1461, 1460, 1459, 1458, 585, 578, 1456, 8084, 8080, 8078, 8076, 8075, 8074, 8073, 8072, 8071, 8070, 8069, 8068, 8067, 8066, 1469, 8065, 583, 575, 8158])).
% 1.01/1.14 tff(8163,plain,
% 1.01/1.14 (m_main_v_request(s44)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[638, 20, 8162])).
% 1.01/1.14 tff(8164,plain,
% 1.01/1.14 ($false),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[5644, 8163, 8156, 5636])).
% 1.01/1.14 tff(8165,plain,(always3(s43) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s15) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s2) | node4(s1) | node4(s0) | trans(s49, s26) | trans(s49, s10) | trans(s49, s13) | trans(s49, s5) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.14 tff(8166,plain,
% 1.01/1.14 (always3(s43) | node4(s3) | node4(s4) | node4(s5) | node4(s6) | node4(s7) | node4(s8) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s16) | node4(s17) | node4(s18) | node4(s20) | node4(s2) | node4(s1) | node4(s0) | trans(s49, s26) | trans(s49, s10) | trans(s49, s13) | trans(s49, s5) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8165, 5960])).
% 1.01/1.14 tff(8167,plain,
% 1.01/1.14 (always3(s43) | node4(s3) | node4(s4) | node4(s7) | node4(s9) | node4(s10) | node4(s11) | node4(s13) | node4(s14) | node4(s17) | node4(s18) | node4(s20) | node4(s1) | node4(s0) | trans(s49, s26) | trans(s49, s10) | trans(s49, s13) | trans(s49, s5) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8166, 5885, 5862, 5833, 5937, 5908])).
% 1.01/1.14 tff(8168,plain,
% 1.01/1.14 (always3(s43) | node4(s9) | node4(s10) | node4(s11) | node4(s17) | node4(s18) | node4(s20) | node4(s1) | node4(s0) | trans(s49, s26) | trans(s49, s10) | trans(s49, s13) | trans(s49, s5) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8167, 5810, 5723, 5688, 5746, 5775])).
% 1.01/1.14 tff(8169,plain,
% 1.01/1.14 (always3(s43) | node4(s9) | node4(s10) | node4(s17) | node4(s1) | node4(s0) | trans(s49, s26) | trans(s49, s10) | trans(s49, s13) | trans(s49, s5) | trans(s49, s4) | trans(s49, s15) | trans(s49, s2) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s36) | trans(s49, s29) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s45) | trans(s49, s0)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8168, 439, 482, 574])).
% 1.01/1.14 tff(8170,plain,
% 1.01/1.14 (always3(s43)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8169, 5129, 576, 5125, 585, 583, 575, 5153, 580, 5127, 4538, 4160, 4159, 4158, 4539, 3958, 3957, 3945, 3934, 3868, 3981, 3892, 3891, 5128, 3880, 3879, 3878, 5126, 3867])).
% 1.01/1.14 tff(8171,plain,
% 1.01/1.14 (~m_main_v_state(s43, c_busy)),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[628, 93, 8170])).
% 1.01/1.14 tff(8172,plain,
% 1.01/1.14 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s43, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s43)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s43, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s43)))),
% 1.01/1.14 inference(rewrite,[status(thm)],[])).
% 1.01/1.14 tff(8173,plain,
% 1.01/1.14 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s43, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s43)))),
% 1.01/1.14 inference(rewrite,[status(thm)],[])).
% 1.01/1.14 tff(8174,plain,
% 1.01/1.14 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s43, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s43))))),
% 1.01/1.14 inference(monotonicity,[status(thm)],[8173])).
% 1.01/1.14 tff(8175,plain,
% 1.01/1.14 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s43, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s43)))),
% 1.01/1.14 inference(transitivity,[status(thm)],[8174, 8172])).
% 1.01/1.14 tff(8176,plain,
% 1.01/1.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.14 inference(quant_inst,[status(thm)],[])).
% 1.01/1.14 tff(8177,plain,
% 1.01/1.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s43, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s43))),
% 1.01/1.14 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 1.01/1.14 tff(8178,plain,
% 1.01/1.14 ($false),
% 1.01/1.14 inference(unit_resolution,[status(thm)],[8177, 52, 8171, 5176, 5164, 8047])).
% 1.01/1.14 tff(8179,plain,(trans(s49, s36) | (~m_main_v_request(s49)) | (~until5(s49)) | trans(s49, s26) | trans(s49, s10) | trans(s49, s19) | trans(s49, s18) | trans(s49, s13) | trans(s49, s22) | trans(s49, s37) | trans(s49, s29) | trans(s49, s4) | trans(s49, s15) | trans(s49, s5) | trans(s49, s30) | trans(s49, s21) | trans(s49, s28) | trans(s49, s9) | trans(s49, s20) | trans(s49, s24) | trans(s49, s6) | trans(s49, s11) | trans(s49, s23) | trans(s49, s1) | trans(s49, s17) | trans(s49, s3) | trans(s49, s27) | trans(s49, s45) | trans(s49, s31) | trans(s49, s25) | trans(s49, s7) | trans(s49, s16) | trans(s49, s32) | trans(s49, s12) | trans(s49, s14) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.15 tff(8180,plain,
% 1.01/1.15 ($false),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8179, 7919, 7917, 1470, 5153, 3868, 7915, 7900, 7885, 7872, 7857, 7842, 4160, 7827, 4538, 7821, 7816, 7801, 3981, 7788, 7787, 3958, 3957, 7786, 3945, 7785, 3934, 7784, 5164, 7783, 7782, 3892, 7781, 7780, 7779, 7778, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.15 tff(8181,plain,(always3(s27) | (~until5(s49)) | trans(s49, s26) | trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | (~m_main_v_request(s49)) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.15 tff(8182,plain,
% 1.01/1.15 (always3(s27)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8181, 5153, 1470, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 5164, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.15 tff(8183,plain,
% 1.01/1.15 (~m_main_v_state(s27, c_busy)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[1812, 93, 8182])).
% 1.01/1.15 tff(8184,assumption,(node2(s49, s27)), introduced(assumption)).
% 1.01/1.15 tff(8185,assumption,(~m_main_v_state(s27, c_busy)), introduced(assumption)).
% 1.01/1.15 tff(8186,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s27, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s27, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s27)))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(8187,plain,
% 1.01/1.15 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s27, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s27)))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(8188,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s27, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s27))))),
% 1.01/1.15 inference(monotonicity,[status(thm)],[8187])).
% 1.01/1.15 tff(8189,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s27, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s27)))),
% 1.01/1.15 inference(transitivity,[status(thm)],[8188, 8186])).
% 1.01/1.15 tff(8190,plain,
% 1.01/1.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.15 inference(quant_inst,[status(thm)],[])).
% 1.01/1.15 tff(8191,plain,
% 1.01/1.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s27, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s27))),
% 1.01/1.15 inference(modus_ponens,[status(thm)],[8190, 8189])).
% 1.01/1.15 tff(8192,plain,
% 1.01/1.15 ($false),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8191, 52, 8185, 5176, 5164, 8184])).
% 1.01/1.15 tff(8193,plain,((~node2(s49, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.15 tff(8194,plain,
% 1.01/1.15 (~node2(s49, s27)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8193, 8183, 5164])).
% 1.01/1.15 tff(8195,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s27)) | node2(s49, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s27)) | node2(s49, s27))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(8196,plain,
% 1.01/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s27)) | node2(s49, s27))),
% 1.01/1.15 inference(quant_inst,[status(thm)],[])).
% 1.01/1.15 tff(8197,plain,
% 1.01/1.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s27)) | node2(s49, s27)),
% 1.01/1.15 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 1.01/1.15 tff(8198,plain,
% 1.01/1.15 (~trans(s49, s27)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8197, 7, 8194])).
% 1.01/1.15 tff(8199,plain,
% 1.01/1.15 (~always3(s13)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[946, 7712])).
% 1.01/1.15 tff(8200,plain,
% 1.01/1.15 (~trans(s49, s13)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[3836, 8199])).
% 1.01/1.15 tff(8201,plain,
% 1.01/1.15 (~always3(s12)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[958, 8199])).
% 1.01/1.15 tff(8202,plain,
% 1.01/1.15 (~trans(s49, s12)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[3717, 8201])).
% 1.01/1.15 tff(8203,plain,
% 1.01/1.15 ($false),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8179, 8202, 8200, 1470, 5153, 3868, 7915, 7900, 7885, 7872, 7857, 7842, 4160, 7827, 4538, 7821, 7816, 7801, 3981, 8198, 7764, 3958, 3957, 7749, 3945, 7734, 3934, 7719, 5164, 7718, 7717, 3892, 7716, 7715, 7714, 7713, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.15 tff(8204,plain,(always3(s23) | (~until5(s49)) | trans(s49, s26) | trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | (~m_main_v_request(s49)) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.15 tff(8205,plain,
% 1.01/1.15 (always3(s23)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[8204, 5153, 1470, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 5164, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.15 tff(8206,plain,
% 1.01/1.15 (~m_main_v_state(s23, c_busy)),
% 1.01/1.15 inference(unit_resolution,[status(thm)],[1894, 93, 8205])).
% 1.01/1.15 tff(8207,assumption,(node2(s49, s23)), introduced(assumption)).
% 1.01/1.15 tff(8208,assumption,(~m_main_v_state(s23, c_busy)), introduced(assumption)).
% 1.01/1.15 tff(8209,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s23, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s23, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s23)))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(8210,plain,
% 1.01/1.15 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s23, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s23)))),
% 1.01/1.15 inference(rewrite,[status(thm)],[])).
% 1.01/1.15 tff(8211,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s23, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s23))))),
% 1.01/1.15 inference(monotonicity,[status(thm)],[8210])).
% 1.01/1.15 tff(8212,plain,
% 1.01/1.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s23, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s23)))),
% 1.01/1.15 inference(transitivity,[status(thm)],[8211, 8209])).
% 1.01/1.15 tff(8213,plain,
% 1.01/1.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.15 inference(quant_inst,[status(thm)],[])).
% 1.01/1.15 tff(8214,plain,
% 1.01/1.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s23, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s23))),
% 1.01/1.16 inference(modus_ponens,[status(thm)],[8213, 8212])).
% 1.01/1.16 tff(8215,plain,
% 1.01/1.16 ($false),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8214, 52, 8208, 5176, 5164, 8207])).
% 1.01/1.16 tff(8216,plain,((~node2(s49, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.16 tff(8217,plain,
% 1.01/1.16 (~node2(s49, s23)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8216, 8206, 5164])).
% 1.01/1.16 tff(8218,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s23)) | node2(s49, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s23)) | node2(s49, s23))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8219,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s23)) | node2(s49, s23))),
% 1.01/1.16 inference(quant_inst,[status(thm)],[])).
% 1.01/1.16 tff(8220,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s23)) | node2(s49, s23)),
% 1.01/1.16 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 1.01/1.16 tff(8221,plain,
% 1.01/1.16 (~trans(s49, s23)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8220, 7, 8217])).
% 1.01/1.16 tff(8222,plain,
% 1.01/1.16 (~trans(s49, s13)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[3836, 4837])).
% 1.01/1.16 tff(8223,plain,
% 1.01/1.16 (~trans(s49, s12)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[3717, 4842])).
% 1.01/1.16 tff(8224,plain,
% 1.01/1.16 ($false),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8179, 8223, 8222, 1470, 5153, 3868, 7915, 7900, 7885, 7872, 7857, 7842, 4160, 7827, 4538, 7821, 7816, 7801, 3981, 8198, 7764, 3958, 3957, 7749, 3945, 7734, 3934, 8221, 5164, 7703, 7702, 3892, 7701, 7700, 7699, 7698, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8225,plain,(always3(s21) | (~until5(s49)) | trans(s49, s26) | trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | (~m_main_v_request(s49)) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.16 tff(8226,plain,
% 1.01/1.16 (always3(s21)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8225, 5153, 1470, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 5164, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8227,plain,
% 1.01/1.16 (~m_main_v_state(s21, c_busy)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[390, 93, 8226])).
% 1.01/1.16 tff(8228,assumption,(node2(s49, s21)), introduced(assumption)).
% 1.01/1.16 tff(8229,assumption,(~m_main_v_state(s21, c_busy)), introduced(assumption)).
% 1.01/1.16 tff(8230,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s21, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s21)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s21, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s21)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8231,plain,
% 1.01/1.16 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s21, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s21)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8232,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s21, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s21))))),
% 1.01/1.16 inference(monotonicity,[status(thm)],[8231])).
% 1.01/1.16 tff(8233,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s21, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s21)))),
% 1.01/1.16 inference(transitivity,[status(thm)],[8232, 8230])).
% 1.01/1.16 tff(8234,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.16 inference(quant_inst,[status(thm)],[])).
% 1.01/1.16 tff(8235,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s21, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s21))),
% 1.01/1.16 inference(modus_ponens,[status(thm)],[8234, 8233])).
% 1.01/1.16 tff(8236,plain,
% 1.01/1.16 ($false),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8235, 52, 8229, 5176, 5164, 8228])).
% 1.01/1.16 tff(8237,plain,((~node2(s49, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.16 tff(8238,plain,
% 1.01/1.16 (~node2(s49, s21)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8237, 8227, 5164])).
% 1.01/1.16 tff(8239,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s21)) | node2(s49, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s21)) | node2(s49, s21))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8240,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s21)) | node2(s49, s21))),
% 1.01/1.16 inference(quant_inst,[status(thm)],[])).
% 1.01/1.16 tff(8241,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s21)) | node2(s49, s21)),
% 1.01/1.16 inference(modus_ponens,[status(thm)],[8240, 8239])).
% 1.01/1.16 tff(8242,plain,
% 1.01/1.16 (~trans(s49, s21)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8241, 7, 8238])).
% 1.01/1.16 tff(8243,plain,
% 1.01/1.16 (~always3(s13)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[946, 7678])).
% 1.01/1.16 tff(8244,plain,
% 1.01/1.16 (~trans(s49, s13)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[3836, 8243])).
% 1.01/1.16 tff(8245,plain,
% 1.01/1.16 (~always3(s12)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[958, 8243])).
% 1.01/1.16 tff(8246,plain,
% 1.01/1.16 (~trans(s49, s12)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[3717, 8245])).
% 1.01/1.16 tff(8247,plain,
% 1.01/1.16 ($false),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8179, 8246, 8244, 1470, 5153, 3868, 7915, 7900, 7885, 7872, 7857, 7842, 4160, 7827, 4538, 7821, 7816, 7801, 3981, 8198, 7764, 3958, 3957, 7749, 3945, 7734, 3934, 8221, 5164, 8242, 7697, 3892, 7682, 7681, 7680, 7679, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8248,plain,(always3(s17) | (~until5(s49)) | trans(s49, s26) | trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | (~m_main_v_request(s49)) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.16 tff(8249,plain,
% 1.01/1.16 (always3(s17)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8248, 7675, 7666, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 7572, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8250,plain,
% 1.01/1.16 (~m_main_v_state(s17, c_busy)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[327, 93, 8249])).
% 1.01/1.16 tff(8251,assumption,(node2(s49, s17)), introduced(assumption)).
% 1.01/1.16 tff(8252,assumption,(~m_main_v_state(s17, c_busy)), introduced(assumption)).
% 1.01/1.16 tff(8253,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s17, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s17)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s17, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s17)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8254,plain,
% 1.01/1.16 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s17, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s17)))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8255,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s17, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s17))))),
% 1.01/1.16 inference(monotonicity,[status(thm)],[8254])).
% 1.01/1.16 tff(8256,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s17, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s17)))),
% 1.01/1.16 inference(transitivity,[status(thm)],[8255, 8253])).
% 1.01/1.16 tff(8257,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.16 inference(quant_inst,[status(thm)],[])).
% 1.01/1.16 tff(8258,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s17, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s17))),
% 1.01/1.16 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 1.01/1.16 tff(8259,plain,
% 1.01/1.16 ($false),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8258, 52, 8252, 5176, 5164, 8251])).
% 1.01/1.16 tff(8260,plain,((~node2(s49, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.16 tff(8261,plain,
% 1.01/1.16 (~node2(s49, s17)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8260, 8250, 7572])).
% 1.01/1.16 tff(8262,plain,
% 1.01/1.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s17)) | node2(s49, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s17)) | node2(s49, s17))),
% 1.01/1.16 inference(rewrite,[status(thm)],[])).
% 1.01/1.16 tff(8263,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s17)) | node2(s49, s17))),
% 1.01/1.16 inference(quant_inst,[status(thm)],[])).
% 1.01/1.16 tff(8264,plain,
% 1.01/1.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s17)) | node2(s49, s17)),
% 1.01/1.16 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 1.01/1.16 tff(8265,plain,
% 1.01/1.16 (~trans(s49, s17)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8264, 7, 8261])).
% 1.01/1.16 tff(8266,plain,
% 1.01/1.16 (~trans(s49, s20)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7696, 7572])).
% 1.01/1.16 tff(8267,plain,
% 1.01/1.16 (always3(s21)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8225, 7675, 7666, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 7572, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8268,plain,
% 1.01/1.16 (~m_main_v_state(s21, c_busy)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[390, 93, 8267])).
% 1.01/1.16 tff(8269,plain,
% 1.01/1.16 (~node2(s49, s21)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8237, 8268, 7572])).
% 1.01/1.16 tff(8270,plain,
% 1.01/1.16 (~trans(s49, s21)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8241, 7, 8269])).
% 1.01/1.16 tff(8271,plain,
% 1.01/1.16 (always3(s23)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8204, 7675, 7666, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 7572, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8272,plain,
% 1.01/1.16 (~m_main_v_state(s23, c_busy)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[1894, 93, 8271])).
% 1.01/1.16 tff(8273,plain,
% 1.01/1.16 (~node2(s49, s23)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8216, 8272, 7572])).
% 1.01/1.16 tff(8274,plain,
% 1.01/1.16 (~trans(s49, s23)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8220, 7, 8273])).
% 1.01/1.16 tff(8275,plain,
% 1.01/1.16 (~trans(s49, s25)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7733, 7572])).
% 1.01/1.16 tff(8276,plain,
% 1.01/1.16 (~trans(s49, s24)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7748, 7572])).
% 1.01/1.16 tff(8277,plain,
% 1.01/1.16 (~trans(s49, s22)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7763, 7572])).
% 1.01/1.16 tff(8278,plain,
% 1.01/1.16 (always3(s27)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8181, 7675, 7666, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 7572, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8279,plain,
% 1.01/1.16 (~m_main_v_state(s27, c_busy)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[1812, 93, 8278])).
% 1.01/1.16 tff(8280,plain,
% 1.01/1.16 (~node2(s49, s27)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8193, 8279, 7572])).
% 1.01/1.16 tff(8281,plain,
% 1.01/1.16 (~trans(s49, s27)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8197, 7, 8280])).
% 1.01/1.16 tff(8282,plain,
% 1.01/1.16 (~trans(s49, s37)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7800, 7572])).
% 1.01/1.16 tff(8283,plain,
% 1.01/1.16 (~trans(s49, s32)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7815, 7572])).
% 1.01/1.16 tff(8284,plain,
% 1.01/1.16 (~node2(s49, s45)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7819, 7572])).
% 1.01/1.16 tff(8285,plain,
% 1.01/1.16 (~trans(s49, s45)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[6856, 7, 8284])).
% 1.01/1.16 tff(8286,plain,
% 1.01/1.16 (~trans(s49, s29)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7826, 7572])).
% 1.01/1.16 tff(8287,plain,
% 1.01/1.16 (~trans(s49, s28)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7841, 7572])).
% 1.01/1.16 tff(8288,plain,
% 1.01/1.16 (~trans(s49, s19)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7856, 7572])).
% 1.01/1.16 tff(8289,plain,
% 1.01/1.16 (~trans(s49, s18)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7871, 7572])).
% 1.01/1.16 tff(8290,plain,
% 1.01/1.16 (~trans(s49, s31)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7884, 7572])).
% 1.01/1.16 tff(8291,plain,
% 1.01/1.16 (~trans(s49, s30)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7899, 7572])).
% 1.01/1.16 tff(8292,plain,
% 1.01/1.16 (~trans(s49, s36)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7914, 7572])).
% 1.01/1.16 tff(8293,plain,
% 1.01/1.16 (~always3(s13)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[946, 3699])).
% 1.01/1.16 tff(8294,plain,
% 1.01/1.16 (~always3(s12)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[958, 8293])).
% 1.01/1.16 tff(8295,plain,
% 1.01/1.16 (~trans(s49, s16)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7586, 5164])).
% 1.01/1.16 tff(8296,plain,
% 1.01/1.16 (~trans(s49, s15)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7601, 5164])).
% 1.01/1.16 tff(8297,plain,
% 1.01/1.16 (~trans(s49, s13)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[7616, 5164])).
% 1.01/1.16 tff(8298,plain,
% 1.01/1.16 (always3(s17)),
% 1.01/1.16 inference(unit_resolution,[status(thm)],[8248, 5153, 1470, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 5164, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.16 tff(8299,plain,
% 1.01/1.16 (~m_main_v_state(s17, c_busy)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[327, 93, 8298])).
% 1.01/1.17 tff(8300,plain,
% 1.01/1.17 (~node2(s49, s17)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8260, 8299, 5164])).
% 1.01/1.17 tff(8301,plain,
% 1.01/1.17 (~trans(s49, s17)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8264, 7, 8300])).
% 1.01/1.17 tff(8302,plain,
% 1.01/1.17 (~trans(s49, s14)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[3707, 3699])).
% 1.01/1.17 tff(8303,plain,
% 1.01/1.17 (trans(s49, s12)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8179, 8302, 1470, 5153, 3868, 7915, 7900, 7885, 7872, 7857, 7842, 4160, 7827, 4538, 7821, 7816, 7801, 3981, 8198, 7764, 3958, 3957, 7749, 3945, 7734, 3934, 8221, 5164, 8242, 7697, 3892, 8301, 8297, 8296, 8295, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.17 tff(8304,plain,
% 1.01/1.17 ($false),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[3717, 8303, 8294])).
% 1.01/1.17 tff(8305,plain,(always3(s14) | (~until5(s49)) | trans(s49, s26) | trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | (~m_main_v_request(s49)) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10)), inference(lemma,lemma(discharge,[]))).
% 1.01/1.17 tff(8306,plain,
% 1.01/1.17 (always3(s14)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8305, 7675, 7666, 3868, 4160, 4538, 3981, 3958, 3957, 3945, 3934, 7572, 3892, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.17 tff(8307,plain,
% 1.01/1.17 (~m_main_v_state(s14, c_busy)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[5717, 93, 8306])).
% 1.01/1.17 tff(8308,assumption,(node2(s49, s14)), introduced(assumption)).
% 1.01/1.17 tff(8309,assumption,(~m_main_v_state(s14, c_busy)), introduced(assumption)).
% 1.01/1.17 tff(8310,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s14, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s14, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s14)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8311,plain,
% 1.01/1.17 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s14, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s14)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8312,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s14, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s14))))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8311])).
% 1.01/1.17 tff(8313,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s14, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s14)))),
% 1.01/1.17 inference(transitivity,[status(thm)],[8312, 8310])).
% 1.01/1.17 tff(8314,plain,
% 1.01/1.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s49)))),
% 1.01/1.17 inference(quant_inst,[status(thm)],[])).
% 1.01/1.17 tff(8315,plain,
% 1.01/1.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s14, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s14))),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 1.01/1.17 tff(8316,plain,
% 1.01/1.17 ($false),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8315, 52, 8309, 5176, 5164, 8308])).
% 1.01/1.17 tff(8317,plain,((~node2(s49, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s49))), inference(lemma,lemma(discharge,[]))).
% 1.01/1.17 tff(8318,plain,
% 1.01/1.17 (~node2(s49, s14)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8317, 8307, 7572])).
% 1.01/1.17 tff(8319,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s14)) | node2(s49, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s14)) | node2(s49, s14))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8320,plain,
% 1.01/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s14)) | node2(s49, s14))),
% 1.01/1.17 inference(quant_inst,[status(thm)],[])).
% 1.01/1.17 tff(8321,plain,
% 1.01/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s14)) | node2(s49, s14)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 1.01/1.17 tff(8322,plain,
% 1.01/1.17 (~trans(s49, s14)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8321, 7, 8318])).
% 1.01/1.17 tff(8323,plain,
% 1.01/1.17 (trans(s49, s12)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8179, 8322, 7666, 7675, 3868, 8292, 8291, 8290, 8289, 8288, 8287, 4160, 8286, 4538, 8285, 8283, 8282, 3981, 8281, 8277, 3958, 3957, 8276, 3945, 8275, 3934, 8274, 7572, 8270, 8266, 3892, 8265, 7617, 7602, 7587, 3878, 4158, 3867, 576, 585, 583, 575, 580])).
% 1.01/1.17 tff(8324,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s12)) | node2(s49, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s12)) | node2(s49, s12))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8325,plain,
% 1.01/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s12)) | node2(s49, s12))),
% 1.01/1.17 inference(quant_inst,[status(thm)],[])).
% 1.01/1.17 tff(8326,plain,
% 1.01/1.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s12)) | node2(s49, s12)),
% 1.01/1.17 inference(modus_ponens,[status(thm)],[8325, 8324])).
% 1.01/1.17 tff(8327,plain,
% 1.01/1.17 (node2(s49, s12)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[8326, 8323, 7])).
% 1.01/1.17 tff(8328,plain,
% 1.01/1.17 (always3(s12)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[3717, 8323])).
% 1.01/1.17 tff(8329,plain,
% 1.01/1.17 (~m_main_v_state(s12, c_busy)),
% 1.01/1.17 inference(unit_resolution,[status(thm)],[423, 93, 8328])).
% 1.01/1.17 tff(8330,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s12, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s12)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s12, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s12)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8331,plain,
% 1.01/1.17 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s12, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s12)))),
% 1.01/1.17 inference(rewrite,[status(thm)],[])).
% 1.01/1.17 tff(8332,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s12, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s12))))),
% 1.01/1.17 inference(monotonicity,[status(thm)],[8331])).
% 1.01/1.17 tff(8333,plain,
% 1.01/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s12, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s12)))),
% 1.12/1.17 inference(transitivity,[status(thm)],[8332, 8330])).
% 1.12/1.17 tff(8334,plain,
% 1.12/1.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.17 inference(quant_inst,[status(thm)],[])).
% 1.12/1.17 tff(8335,plain,
% 1.12/1.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s12, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s12))),
% 1.12/1.17 inference(modus_ponens,[status(thm)],[8334, 8333])).
% 1.12/1.17 tff(8336,plain,
% 1.12/1.17 ($false),
% 1.12/1.17 inference(unit_resolution,[status(thm)],[8335, 52, 8329, 5176, 7572, 8327])).
% 1.12/1.17 tff(8337,plain,(node4(s21) | trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10) | node4(s36)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.17 tff(8338,plain,
% 1.12/1.17 (trans(s49, s10) | trans(s49, s4) | trans(s49, s5) | trans(s49, s9) | trans(s49, s6) | trans(s49, s11) | trans(s49, s1) | trans(s49, s3) | trans(s49, s7) | trans(s49, s8) | trans(s49, s2) | trans(s49, s0) | node4(s9) | node4(s17) | node4(s1) | node4(s0) | node4(s10) | node4(s36)),
% 1.12/1.17 inference(unit_resolution,[status(thm)],[8337, 396])).
% 1.12/1.17 tff(8339,plain,
% 1.12/1.17 ($false),
% 1.12/1.17 inference(unit_resolution,[status(thm)],[8338, 7570, 7568, 295, 7566, 7565, 7564, 7563, 7562, 7561, 7560, 7559, 7558, 203, 347, 246, 101, 160, 7549])).
% 1.12/1.17 tff(8340,plain,(always3(s11)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.17 tff(8341,plain,
% 1.12/1.17 (~m_main_v_state(s11, c_busy)),
% 1.12/1.17 inference(unit_resolution,[status(thm)],[128, 93, 8340])).
% 1.12/1.17 tff(8342,plain,
% 1.12/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s11, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s11, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s11)))),
% 1.12/1.17 inference(rewrite,[status(thm)],[])).
% 1.12/1.17 tff(8343,plain,
% 1.12/1.17 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s11, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s11)))),
% 1.12/1.17 inference(rewrite,[status(thm)],[])).
% 1.12/1.17 tff(8344,plain,
% 1.12/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s11, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s11))))),
% 1.12/1.17 inference(monotonicity,[status(thm)],[8343])).
% 1.12/1.17 tff(8345,plain,
% 1.12/1.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s11, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s11)))),
% 1.12/1.17 inference(transitivity,[status(thm)],[8344, 8342])).
% 1.12/1.17 tff(8346,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8347,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s11, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s11))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8346, 8345])).
% 1.12/1.18 tff(8348,plain,
% 1.12/1.18 ($false),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8347, 52, 8341, 5176, 7536, 7547])).
% 1.12/1.18 tff(8349,plain,(~node2(s49, s11)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.18 tff(8350,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s11)) | node2(s49, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s11)) | node2(s49, s11))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8351,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s11)) | node2(s49, s11))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8352,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s11)) | node2(s49, s11)),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 1.12/1.18 tff(8353,plain,
% 1.12/1.18 (~trans(s49, s11)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8352, 7, 8349])).
% 1.12/1.18 tff(8354,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s6)) | node2(s49, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s6)) | node2(s49, s6))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8355,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s6)) | node2(s49, s6))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8356,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s6)) | node2(s49, s6)),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 1.12/1.18 tff(8357,plain,
% 1.12/1.18 (node2(s49, s6)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8356, 2283, 7])).
% 1.12/1.18 tff(8358,plain,
% 1.12/1.18 (always3(s6)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[3780, 2283])).
% 1.12/1.18 tff(8359,plain,
% 1.12/1.18 (~m_main_v_state(s6, c_busy)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[5856, 93, 8358])).
% 1.12/1.18 tff(8360,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s6, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s6, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s6)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8361,plain,
% 1.12/1.18 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s6, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s6)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8362,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s6, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s6))))),
% 1.12/1.18 inference(monotonicity,[status(thm)],[8361])).
% 1.12/1.18 tff(8363,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s6, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s6)))),
% 1.12/1.18 inference(transitivity,[status(thm)],[8362, 8360])).
% 1.12/1.18 tff(8364,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8365,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s6, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s6))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 1.12/1.18 tff(8366,plain,
% 1.12/1.18 ($false),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8365, 52, 8359, 5176, 7536, 8357])).
% 1.12/1.18 tff(8367,plain,(~trans(s49, s6)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.18 tff(8368,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s9)) | node2(s49, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s9)) | node2(s49, s9))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8369,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s9)) | node2(s49, s9))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8370,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s9)) | node2(s49, s9)),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8369, 8368])).
% 1.12/1.18 tff(8371,plain,
% 1.12/1.18 (node2(s49, s9)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8370, 2316, 7])).
% 1.12/1.18 tff(8372,plain,
% 1.12/1.18 (always3(s9)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[3791, 2316])).
% 1.12/1.18 tff(8373,plain,
% 1.12/1.18 (~m_main_v_state(s9, c_busy)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[197, 93, 8372])).
% 1.12/1.18 tff(8374,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s9, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s9)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s9, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s9)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8375,plain,
% 1.12/1.18 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s9, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s9)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8376,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s9, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s9))))),
% 1.12/1.18 inference(monotonicity,[status(thm)],[8375])).
% 1.12/1.18 tff(8377,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s9, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s9)))),
% 1.12/1.18 inference(transitivity,[status(thm)],[8376, 8374])).
% 1.12/1.18 tff(8378,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8379,plain,
% 1.12/1.18 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s9, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s9))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8378, 8377])).
% 1.12/1.18 tff(8380,plain,
% 1.12/1.18 ($false),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8379, 52, 8373, 5176, 7536, 8371])).
% 1.12/1.18 tff(8381,plain,(~trans(s49, s9)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.18 tff(8382,assumption,(node2(s49, s0)), introduced(assumption)).
% 1.12/1.18 tff(8383,plain,
% 1.12/1.18 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready))) <=> ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready))))),
% 1.12/1.18 inference(bind,[status(th)],[])).
% 1.12/1.18 tff(8384,plain,
% 1.12/1.18 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(quant_intro,[status(thm)],[8383])).
% 1.12/1.18 tff(8385,plain,
% 1.12/1.18 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8386,plain,
% 1.12/1.18 (^[X: $i] : rewrite(((~m_main_v_state(X, c_ready)) | (~m_main_v_state(X, c_busy))) <=> ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready))))),
% 1.12/1.18 inference(bind,[status(th)],[])).
% 1.12/1.18 tff(8387,plain,
% 1.12/1.18 (![X: $i] : ((~m_main_v_state(X, c_ready)) | (~m_main_v_state(X, c_busy))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(quant_intro,[status(thm)],[8386])).
% 1.12/1.18 tff(8388,axiom,(![X: $i] : ((~m_main_v_state(X, c_ready)) | (~m_main_v_state(X, c_busy)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 1.12/1.18 tff(8389,plain,
% 1.12/1.18 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 1.12/1.18 tff(8390,plain,
% 1.12/1.18 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8389, 8385])).
% 1.12/1.18 tff(8391,plain,(
% 1.12/1.18 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(skolemize,[status(sab)],[8390])).
% 1.12/1.18 tff(8392,plain,
% 1.12/1.18 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8391, 8384])).
% 1.12/1.18 tff(8393,plain,
% 1.12/1.18 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))) | ((~m_main_v_state(s0, c_busy)) | (~m_main_v_state(s0, c_ready)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))) | (~m_main_v_state(s0, c_busy)) | (~m_main_v_state(s0, c_ready)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8394,plain,
% 1.12/1.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))) | ((~m_main_v_state(s0, c_busy)) | (~m_main_v_state(s0, c_ready)))),
% 1.12/1.18 inference(quant_inst,[status(thm)],[])).
% 1.12/1.18 tff(8395,plain,
% 1.12/1.18 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))) | (~m_main_v_state(s0, c_busy)) | (~m_main_v_state(s0, c_ready))),
% 1.12/1.18 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 1.12/1.18 tff(8396,plain,
% 1.12/1.18 (~m_main_v_state(s0, c_busy)),
% 1.12/1.18 inference(unit_resolution,[status(thm)],[8395, 8392, 55])).
% 1.12/1.18 tff(8397,plain,
% 1.12/1.18 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s0, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s0)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s0, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s0)))),
% 1.12/1.18 inference(rewrite,[status(thm)],[])).
% 1.12/1.18 tff(8398,plain,
% 1.12/1.18 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s0, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s0)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8399,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s0, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s0))))),
% 1.12/1.19 inference(monotonicity,[status(thm)],[8398])).
% 1.12/1.19 tff(8400,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s0, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s0)))),
% 1.12/1.19 inference(transitivity,[status(thm)],[8399, 8397])).
% 1.12/1.19 tff(8401,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8402,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s0, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s0))),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8401, 8400])).
% 1.12/1.19 tff(8403,plain,
% 1.12/1.19 ($false),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8402, 52, 8396, 5176, 7536, 8382])).
% 1.12/1.19 tff(8404,plain,(~node2(s49, s0)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.19 tff(8405,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s0)) | node2(s49, s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s0)) | node2(s49, s0))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8406,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s0)) | node2(s49, s0))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8407,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s0)) | node2(s49, s0)),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 1.12/1.19 tff(8408,plain,
% 1.12/1.19 (~trans(s49, s0)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8407, 7, 8404])).
% 1.12/1.19 tff(8409,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s4)) | node2(s49, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s4)) | node2(s49, s4))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8410,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s4)) | node2(s49, s4))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8411,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s4)) | node2(s49, s4)),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 1.12/1.19 tff(8412,plain,
% 1.12/1.19 (node2(s49, s4)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8411, 2412, 7])).
% 1.12/1.19 tff(8413,plain,
% 1.12/1.19 (always3(s4)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[3814, 2412])).
% 1.12/1.19 tff(8414,plain,
% 1.12/1.19 (~m_main_v_state(s4, c_busy)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[5682, 93, 8413])).
% 1.12/1.19 tff(8415,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s4, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s4)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s4, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s4)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8416,plain,
% 1.12/1.19 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s4, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s4)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8417,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s4, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s4))))),
% 1.12/1.19 inference(monotonicity,[status(thm)],[8416])).
% 1.12/1.19 tff(8418,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s4, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s4)))),
% 1.12/1.19 inference(transitivity,[status(thm)],[8417, 8415])).
% 1.12/1.19 tff(8419,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8420,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s4, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s4))),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8419, 8418])).
% 1.12/1.19 tff(8421,plain,
% 1.12/1.19 ($false),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8420, 52, 8414, 5176, 7536, 8412])).
% 1.12/1.19 tff(8422,plain,(~trans(s49, s4)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.19 tff(8423,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s2)) | node2(s49, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s2)) | node2(s49, s2))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8424,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s2)) | node2(s49, s2))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8425,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s2)) | node2(s49, s2)),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8424, 8423])).
% 1.12/1.19 tff(8426,plain,
% 1.12/1.19 (node2(s49, s2)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8425, 2544, 7])).
% 1.12/1.19 tff(8427,plain,
% 1.12/1.19 (always3(s2)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[3802, 2544])).
% 1.12/1.19 tff(8428,plain,
% 1.12/1.19 (~m_main_v_state(s2, c_busy)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[230, 93, 8427])).
% 1.12/1.19 tff(8429,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s2, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s2, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s2)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8430,plain,
% 1.12/1.19 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s2, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s2)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8431,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s2, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s2))))),
% 1.12/1.19 inference(monotonicity,[status(thm)],[8430])).
% 1.12/1.19 tff(8432,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s2, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s2)))),
% 1.12/1.19 inference(transitivity,[status(thm)],[8431, 8429])).
% 1.12/1.19 tff(8433,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8434,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s2, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s2))),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 1.12/1.19 tff(8435,plain,
% 1.12/1.19 ($false),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8434, 52, 8428, 5176, 7536, 8426])).
% 1.12/1.19 tff(8436,plain,(~trans(s49, s2)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.19 tff(8437,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s5)) | node2(s49, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s5)) | node2(s49, s5))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8438,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s5)) | node2(s49, s5))),
% 1.12/1.19 inference(quant_inst,[status(thm)],[])).
% 1.12/1.19 tff(8439,plain,
% 1.12/1.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s5)) | node2(s49, s5)),
% 1.12/1.19 inference(modus_ponens,[status(thm)],[8438, 8437])).
% 1.12/1.19 tff(8440,plain,
% 1.12/1.19 (node2(s49, s5)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[8439, 2566, 7])).
% 1.12/1.19 tff(8441,plain,
% 1.12/1.19 (always3(s5)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[3825, 2566])).
% 1.12/1.19 tff(8442,plain,
% 1.12/1.19 (~m_main_v_state(s5, c_busy)),
% 1.12/1.19 inference(unit_resolution,[status(thm)],[5666, 93, 8441])).
% 1.12/1.19 tff(8443,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s5, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s5)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s5, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s5)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8444,plain,
% 1.12/1.19 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s5, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s5)))),
% 1.12/1.19 inference(rewrite,[status(thm)],[])).
% 1.12/1.19 tff(8445,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s5, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s5))))),
% 1.12/1.19 inference(monotonicity,[status(thm)],[8444])).
% 1.12/1.19 tff(8446,plain,
% 1.12/1.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s5, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s5)))),
% 1.12/1.20 inference(transitivity,[status(thm)],[8445, 8443])).
% 1.12/1.20 tff(8447,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8448,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s5, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s5))),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 1.12/1.20 tff(8449,plain,
% 1.12/1.20 ($false),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8448, 52, 8442, 5176, 7536, 8440])).
% 1.12/1.20 tff(8450,plain,(~trans(s49, s5)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.20 tff(8451,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s1)) | node2(s49, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s1)) | node2(s49, s1))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8452,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s1)) | node2(s49, s1))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8453,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s1)) | node2(s49, s1)),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8452, 8451])).
% 1.12/1.20 tff(8454,plain,
% 1.12/1.20 (node2(s49, s1)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8453, 2588, 7])).
% 1.12/1.20 tff(8455,plain,
% 1.12/1.20 (always3(s1)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[3758, 2588])).
% 1.12/1.20 tff(8456,plain,
% 1.12/1.20 (~m_main_v_state(s1, c_busy)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[99, 93, 8455])).
% 1.12/1.20 tff(8457,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s1, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s1, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s1)))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8458,plain,
% 1.12/1.20 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s1, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s1)))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8459,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s1, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s1))))),
% 1.12/1.20 inference(monotonicity,[status(thm)],[8458])).
% 1.12/1.20 tff(8460,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s1, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s1)))),
% 1.12/1.20 inference(transitivity,[status(thm)],[8459, 8457])).
% 1.12/1.20 tff(8461,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8462,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s1, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s1))),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 1.12/1.20 tff(8463,plain,
% 1.12/1.20 ($false),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8462, 52, 8456, 5176, 7536, 8454])).
% 1.12/1.20 tff(8464,plain,(~trans(s49, s1)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.20 tff(8465,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s10)) | node2(s49, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s10)) | node2(s49, s10))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8466,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s10)) | node2(s49, s10))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8467,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s10)) | node2(s49, s10)),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 1.12/1.20 tff(8468,plain,
% 1.12/1.20 (node2(s49, s10)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8467, 2654, 7])).
% 1.12/1.20 tff(8469,plain,
% 1.12/1.20 (always3(s10)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[3687, 2654])).
% 1.12/1.20 tff(8470,plain,
% 1.12/1.20 (~m_main_v_state(s10, c_busy)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[144, 93, 8469])).
% 1.12/1.20 tff(8471,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s10, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s10, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s10)))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8472,plain,
% 1.12/1.20 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s10, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s10)))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8473,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s10, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s10))))),
% 1.12/1.20 inference(monotonicity,[status(thm)],[8472])).
% 1.12/1.20 tff(8474,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s10, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s10)))),
% 1.12/1.20 inference(transitivity,[status(thm)],[8473, 8471])).
% 1.12/1.20 tff(8475,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8476,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s10, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s10))),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 1.12/1.20 tff(8477,plain,
% 1.12/1.20 ($false),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8476, 52, 8470, 5176, 7536, 8468])).
% 1.12/1.20 tff(8478,plain,(~trans(s49, s10)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.20 tff(8479,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s7)) | node2(s49, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s7)) | node2(s49, s7))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8480,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s7)) | node2(s49, s7))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8481,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s7)) | node2(s49, s7)),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8480, 8479])).
% 1.12/1.20 tff(8482,plain,
% 1.12/1.20 (node2(s49, s7)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8481, 2112, 7])).
% 1.12/1.20 tff(8483,plain,
% 1.12/1.20 (always3(s7)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[3737, 2112])).
% 1.12/1.20 tff(8484,plain,
% 1.12/1.20 (~m_main_v_state(s7, c_busy)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[5804, 93, 8483])).
% 1.12/1.20 tff(8485,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s7, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s7, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s7)))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8486,plain,
% 1.12/1.20 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s7, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s7)))),
% 1.12/1.20 inference(rewrite,[status(thm)],[])).
% 1.12/1.20 tff(8487,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s7, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s7))))),
% 1.12/1.20 inference(monotonicity,[status(thm)],[8486])).
% 1.12/1.20 tff(8488,plain,
% 1.12/1.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s7, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s7)))),
% 1.12/1.20 inference(transitivity,[status(thm)],[8487, 8485])).
% 1.12/1.20 tff(8489,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.20 inference(quant_inst,[status(thm)],[])).
% 1.12/1.20 tff(8490,plain,
% 1.12/1.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s7, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s7))),
% 1.12/1.20 inference(modus_ponens,[status(thm)],[8489, 8488])).
% 1.12/1.20 tff(8491,plain,
% 1.12/1.20 ($false),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8490, 52, 8484, 5176, 7536, 8482])).
% 1.12/1.20 tff(8492,plain,(~trans(s49, s7)), inference(lemma,lemma(discharge,[]))).
% 1.12/1.20 tff(8493,plain,
% 1.12/1.20 (trans(s49, s8)),
% 1.12/1.20 inference(unit_resolution,[status(thm)],[8338, 8492, 295, 8478, 8464, 8450, 8436, 8422, 8408, 8381, 8367, 8353, 203, 347, 246, 101, 160, 7546])).
% 1.12/1.22 tff(8494,plain,
% 1.12/1.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s8)) | node2(s49, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s8)) | node2(s49, s8))),
% 1.12/1.22 inference(rewrite,[status(thm)],[])).
% 1.12/1.22 tff(8495,plain,
% 1.12/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s8)) | node2(s49, s8))),
% 1.12/1.22 inference(quant_inst,[status(thm)],[])).
% 1.12/1.22 tff(8496,plain,
% 1.12/1.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s8)) | node2(s49, s8)),
% 1.12/1.22 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 1.12/1.22 tff(8497,plain,
% 1.12/1.22 (node2(s49, s8)),
% 1.12/1.22 inference(unit_resolution,[status(thm)],[8496, 8493, 7])).
% 1.12/1.22 tff(8498,plain,
% 1.12/1.22 (always3(s8)),
% 1.12/1.22 inference(unit_resolution,[status(thm)],[3697, 8493])).
% 1.12/1.22 tff(8499,plain,
% 1.12/1.22 (~m_main_v_state(s8, c_busy)),
% 1.12/1.22 inference(unit_resolution,[status(thm)],[5788, 93, 8498])).
% 1.12/1.22 tff(8500,plain,
% 1.12/1.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s8, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s8)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s8, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s8)))),
% 1.12/1.22 inference(rewrite,[status(thm)],[])).
% 1.12/1.22 tff(8501,plain,
% 1.12/1.22 (((~m_main_v_state(s49, c_ready)) | (~node2(s49, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s49))) <=> (m_main_v_state(s8, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s8)))),
% 1.12/1.22 inference(rewrite,[status(thm)],[])).
% 1.12/1.22 tff(8502,plain,
% 1.12/1.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s8, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s8))))),
% 1.12/1.22 inference(monotonicity,[status(thm)],[8501])).
% 1.12/1.22 tff(8503,plain,
% 1.12/1.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s8, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s8)))),
% 1.12/1.22 inference(transitivity,[status(thm)],[8502, 8500])).
% 1.12/1.22 tff(8504,plain,
% 1.12/1.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s49)))),
% 1.12/1.22 inference(quant_inst,[status(thm)],[])).
% 1.12/1.22 tff(8505,plain,
% 1.12/1.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s8, c_busy) | (~m_main_v_state(s49, c_ready)) | (~m_main_v_request(s49)) | (~node2(s49, s8))),
% 1.12/1.22 inference(modus_ponens,[status(thm)],[8504, 8503])).
% 1.12/1.22 tff(8506,plain,
% 1.12/1.22 ($false),
% 1.12/1.22 inference(unit_resolution,[status(thm)],[8505, 52, 8499, 5176, 7536, 8497])).
% 1.12/1.22 % SZS output end Proof
%------------------------------------------------------------------------------